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#Moduli Space

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M-Seminar, Kansas State University

Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians

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Explore the intricate world of Hall algebra-type constructions and their applications in a lecture by Shivang Jindal from the University of Edinburgh. Delve into the complexities of studying algebras related to the moduli space of representations of the…
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Moduli Space of Twisted Laplacians and Random Matrix Theory

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Explore the convergence of spectral number variance for twisted Laplacians to random matrix theory ensembles, extending Rudnick's work to break time-reversal symmetry and include Dirac operators.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institute for Advanced Study

Scattering Amplitudes, Multi-variate Residues and Valuated Matroids

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Delve into scattering amplitudes, exploring multi-variate residues on Grassmannians and moduli spaces. Uncover connections between physical problems and geometric combinatorics.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Symplectic Orbifold Gromov-Witten Invariants

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Dive into symplectic orbifold Gromov-Witten invariants, exploring recent developments in moduli spaces and global Kuranishi charts for pseudo-holomorphic curves in symplectic orbifolds.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Cohomology of Moduli Spaces of Curves

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Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Advanced Study

Distinguishing Monotone Lagrangians via Holomorphic Annuli - Ailsa Keating

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Explore advanced symplectic geometry concepts, focusing on distinguishing monotone Lagrangians through holomorphic annuli, with insights on geometric mutation and moduli spaces.
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10 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Institute for Advanced Study

Pseudoholomorphic Curves with Boundary - Can You Count Them? Can You Really? - Sara Tukachinsky

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Explore pseudoholomorphic curves with boundary, their counting challenges, and innovative approaches in Gromov-Witten theory with Sara Tukachinsky's advanced mathematical seminar.
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15 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Generalized Hitchin Systems - New Geometric Structures

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Explore generalized Hitchin systems with Bảo Châu Ngô, delving into new geometric structures and celebrating Hitchin's mathematical legacy in this insightful conference talk.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Commutative Algebra and Algebraic Geometry: Hitching Map and Modular Spaces - Lecture 15

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Explore advanced topics in algebraic geometry, including Hitchin maps, nilpotent cones, and modular spaces. Gain insights into symmetries, automorphisms, and spectral curves in this in-depth mathematical discussion.
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14 Lesons
39 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Quasi-Universal Sheaves and Generic Modules

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Explorez les sheaves quasi-universels et les modules génériques dans le contexte de la théorie des représentations et de l'algèbre non commutative. Approfondissez les applications aux algèbres de dimension finie.
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Les mondes mathématiques de Maryam Mirzakhani - Espaces de formes

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Explorez les contributions révolutionnaires de Maryam Mirzakhani aux espaces de formes et à la géométrie, présentées par Pascal Hubert.
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1 Lesons
35 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Volumes of Odd Strata of Quadratic Differentials

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Explore volumes of odd strata of quadratic differentials in moduli spaces. Delve into combinatorics, dynamics, and geometry with insights from Elise Goujard's mathematical research.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Advanced Study

From Matroids to Moduli Spaces

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Explore the mathematical foundations of matroids and their applications in OSCAR software, focusing on hyperplane arrangements, particle physics, and algebraic geometry applications.
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1 Lesons
56 minutes
On-Demand
Free-Video
BunG Seminar

Geometric Contractiveness of the Harder-Narasimhan Stratification in BunG - Talk 10

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Delve into the geometric contractiveness of Harder-Narasimhan stratification and its implications for D-modules on BunG, exploring behavior at infinity and quasi-compact properties.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
BunG Seminar

Examples and Basic Properties of BunG - Talk 9

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Explore concrete examples of BunG geometry through explicit polynomial computations, focusing on P^1 cases and examining vector bundles, G-torsors, and Ramanathan's deformation theory.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
BunG Seminar

The Harder-Narasimhan Filtration and Stability Conditions for Vector Bundles

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Delve into the mathematical theory of stability conditions and Harder-Narasimhan filtration for vector bundles, exploring their applications in geometric invariant theory and moduli spaces.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Institute for Advanced Study

Multimatroids and Rational Curves with Cyclic Action

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Explore the intersection of multimatroids and rational curves, discovering how these mathematical structures connect through combinatorial formulas and independence polytopal complexes in topological graph theory.
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1 Lesons
50 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Moduli Spaces of Bundles on Curves with Abelian Motives

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Explore the mathematical theory behind abelian motives in bundle moduli spaces, examining motivic formulas and their relationship to cohomological phenomena on curves.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Insights into Mathematics

One-Dimensional Objects - Algebraic Topology

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Explore one-dimensional objects in algebraic topology, focusing on lines and circles. Learn about their diverse representations and fundamental properties in this introductory lecture.
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6 Lesons
32 minutes
On-Demand
Free-Video
IMSA

CoFTs for GLSMs

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Explore enumerative invariants for GLSMs, generalizing Gromov-Witten and FJRW theories. Learn about virtual fundamental classes, Atiyah classes, and matrix factorizations in this context.
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10 Lesons
1 hour 8 minutes
On-Demand
Free-Video
IMSA

Mixed Period Maps: Definability and Algebraicity

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Explore definable analytic spaces and their applications in algebraic geometry, focusing on period maps and mixed Hodge structures. Learn about o-minimal geometry and its role in proving key conjectures.
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14 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Period Mapping at Infinity

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Explore Hodge theory's global study of period mapping at infinity, including new invariants, moduli space implications, and geometric insights for singular varieties.
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9 Lesons
54 minutes
On-Demand
Free-Video
IMSA

Is There Geometric Recursion for the Moduli Space of Toric Varieties?

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Explore moduli space of quantum toric varieties, drawing parallels with geometric recursion. Delve into quantum lattices, tori, and CP1, examining group actions, calibration, and quantum geometric invariant theory.
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29 Lesons
1 hour 9 minutes
On-Demand
Free-Video
IMSA

Geometric Recursion - Lecture I

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Explore geometric recursion, its relation to topological recursion, and applications in Teichmüller spaces, moduli spaces, and mapping class group invariant functions.
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10 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

A Proposal for Open DT Invariants

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Explore open DT invariants, refined invariance, and boundary conditions in moduli spaces with Sergei Gukov. Delve into generating series, topological vertex, and infinite projects in this advanced mathematics lecture.
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19 Lesons
1 hour 12 minutes
On-Demand
Free-Video
IMSA

Floer Homotopy Without Spectra

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Explore advanced mathematical concepts in Floer homotopy, including manifold categories, moduli spaces, and K-homology, without relying on spectral theory.
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12 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Nikita Nekrasov

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Explore homological mirror symmetry and integrable systems through Lax operators, intersection theory, and gauge theory. Delve into Garnier models, Hitchin systems, and quiver gauge theories.
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22 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Moduli Space of Non-Archimedean Holomorphic Disks Pt. II

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Explore non-Archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness. Gain insights into non-Archimedean mirror symmetry and related theories.
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19 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Moduli Spaces on K3 Categories Are Irreducible Symplectic Varieties

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Explore irreducible symplectic varieties as building blocks in singular projective varieties, focusing on moduli spaces of Bridgeland stable objects in Kuznetsov components of specific fourfolds.
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16 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IMSA

Windows and the BGMN Conjecture

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Explore the BGMN Conjecture in algebraic geometry using moduli spaces, derived categories, and GIT wall crossing. Uncover insights into vector bundles and symmetric powers of curves.
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15 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

Birational Geometry of Moduli Spaces via the Essential Skeleton

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Explore the essential skeleton in birational geometry, linking it to tropical geometry and moduli spaces, with a focus on $\mathcal{M}_{0,n}$ and potential applications to hyperplane arrangements.
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10 Lesons
53 minutes
On-Demand
Free-Video
IMSA

K-Stability of Fano Varieties

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Explores K-stability of Fano varieties, connecting complex geometry and algebraic geometry. Discusses recent developments, including solved conjectures and the construction of a moduli space for Fano varieties.
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10 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Representations of Fuchsian Groups, Parahoric Group Schemes by Vikraman Balaji

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Explore advanced mathematical concepts including Fuchsian groups, parahoric schemes, and root systems. Delve into complex algebraic structures and their representations in this in-depth lecture on geometric group theory.
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17 Lesons
1 hour 32 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Moduli Spaces of Parabolic Connections and Parabolic Bundles and Geometric Langlands by M-H Saito

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Explore moduli spaces of parabolic connections and bundles, their properties, and applications in Geometric Langlands. Covers deformation theory, symplectic structures, and key theorems in this advanced mathematical topic.
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26 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Hyperbolic Geometry, Fuchsian Groups and Moduli Spaces - Lecture 1

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Introducción a la geometría hiperbólica: modelos, propiedades y trigonometría. Exploración de los modelos del semiplano superior, disco y hiperboloide, con énfasis en geodésicas, ángulos y curvatura constante.
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27 Lesons
1 hour 22 minutes
On-Demand
Free-Video
International Mathematical Union

Real Gromov-Witten Theory

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Survey of recent developments in real Gromov-Witten theory, covering construction challenges, structural results, and connections to physics. Explores moduli spaces, invariants, and enumerative geometry.
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12 Lesons
44 minutes
On-Demand
Free-Video
ICTP Mathematics

Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces

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Explore virtual topological invariants of moduli spaces, focusing on multiplicative classes, convergence, and residual formulas in sheaf theory on surfaces.
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7 Lesons
1 hour
On-Demand
Free-Video
ICTP Mathematics

Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces

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Explore virtual topological invariants of moduli spaces, focusing on sheaves on surfaces. Learn about ischemic points, Euler numbers, and perfect obstruction theory.
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10 Lesons
1 hour 4 minutes
On-Demand
Free-Video
ICTP Mathematics

Virtual Invariants of Moduli Spaces of Sheaves on Surfaces and Vafa-Witten Invariants I

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Explore virtual invariants of moduli spaces, Vafa-Witten invariants, and related mathematical concepts in this advanced seminar on algebraic geometry and theoretical physics.
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14 Lesons
1 hour 9 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

An Introduction to Spectral Data for Higgs Bundles

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Explore spectral data for Higgs bundles, a key concept in algebraic geometry and mathematical physics, with insights on integrable systems and moduli spaces.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
IMSA

Andras Szenes- Intersection Cohomology of the Moduli Spaces of Stable Bundle II

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Exploration of intersection cohomology in moduli spaces of semistable bundles on Riemann surfaces, featuring new formulas for intersection Betti numbers and geometric insights.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Intersection Cohomology of the Moduli Spaces of Stable Bundle I

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Explore intersection cohomology of semistable bundle moduli spaces on Riemann surfaces, including Decomposition Theorem analysis and new formula for intersection Betti numbers.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Holomorphic Floer Theory, Quantum Wave Functions and Resurgence

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Explore holomorphic Floer theory, exponential integrals, and resurgence in algebraic geometry. Discover connections to quantum wave functions and infinite-dimensional applications.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IMSA

Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves

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Explore derived categories and motives of moduli spaces of vector bundles on curves, their relationships, and recent developments in algebraic geometry.
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1 Lesons
47 minutes
On-Demand
Free-Video
IMSA

Moduli Spaces for Rational Elliptic Surfaces - of Index 1 and 2

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Explore rational elliptic surfaces, their construction from pencils of curves, and recent developments in moduli space construction for surfaces with multiple fibers.
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1 Lesons
51 minutes
On-Demand
Free-Video
IMSA

Virtual Reductions and Intersection Theory on Moduli Space of Sheaves on Calabi-Yau 4 Folds

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Explore virtual reductions of fundamental classes on moduli spaces of sheaves in Calabi-Yau 4-folds, examining applications to Donaldson-Thomas invariants and connections to threefold theories.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
IMSA

Prequels and Possible Sequels to Topological Recursion

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Exploration of topological recursion's origins, connections to Hopf algebras, and potential future developments, bridging discrete data and moduli spaces through cubical complexes.
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1 Lesons
1 hour
On-Demand
Free-Video
IMSA

Geometric Recursion - Lecture II

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Explore geometric recursion's relation to topological recursion, focusing on mapping class group invariant functions and their applications in moduli spaces and Gromov-Witten invariants.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
IMSA

Quantization of Moduli Spaces of Local Systems at Roots of Unity

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Explore quantization of G-local system moduli spaces on decorated surfaces, discussing applications to quantum topology and quantum group representations.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Moduli Space of Non-Archimedean Holomorphic Disks

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Explore non-archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness in the context of mirror symmetry.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 18

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties, with applications to superstring theory.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 17

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 16

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 15

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 14

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 13

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 12

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part XI

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
IMSA

Exploring the Boundary of the Moduli Space of Stable Surfaces - I-Surfaces as a Test Case

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Exploring I-surfaces: minimal complex surfaces with K^2=1 and p_g=2. Recent research on boundary points of KSBA compactification for I-surfaces' moduli space.
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1 Lesons
46 minutes
On-Demand
Free-Video
IMSA

Torelli Action on SU(n) Representation Varieties of Projective Curves

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Explore Torelli group action on SU(n) representation varieties, its nontriviality in degree 6 cohomology, and implications for moduli of semistable bundles with trivial determinant.
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1 Lesons
49 minutes
On-Demand
Free-Video
IMSA

Period Mappings at Infinity - Recent Developments II

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Explores recent advancements in Hodge theory, focusing on asymptotic properties of period maps and their applications to moduli spaces beyond classical cases of ppav and K3s.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Comparing Geometric and Hodge-Theoretic Compactifications I

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Explores compactifications of moduli spaces for abelian varieties and K3 surfaces, comparing geometric and Hodge-theoretic approaches. Discusses recent work on stable K3 surfaces and recognizable divisors.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Period Mappings at Infinity - Recent Developments I

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Explores recent advancements in Hodge theory, focusing on asymptotic properties of period maps and their applications to moduli spaces beyond classical cases like ppav and K3s.
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1 Lesons
59 minutes
On-Demand
Free-Video
IMSA

Comparing Geometric and Hodge-Theoretic Compactifications II

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Explores compactifications of moduli spaces for abelian varieties and K3 surfaces, focusing on geometric interpretations and connections to Hodge theory and polyhedral decompositions.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
IMSA

Top Weight Cohomology of M_g

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Explore the top-graded weight filtration on open moduli spaces, with applications to exponential growth in H^{4g-6}(M_g, Q) dimensions, disproving previous conjectures.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IMSA

Stratifications in the Moduli Space of Stable Surfaces

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Explore stratifications in stable surface moduli spaces, focusing on boundary surfaces and Hodge-theoretic approaches. Illustrated with examples and visuals from collaborative research.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Compactifications of Moduli — Geometry vs. Hodge Theory

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Exploration of geometric and Hodge theoretic approaches to compactifying moduli spaces in algebraic geometry, with focus on classical cases and H and I-surfaces.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
IMSA

On Wormholes in the Moduli Space of Surfaces

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Explore wormholing phenomena in KSBA compactification of moduli space for surfaces of general type, focusing on extremal P-resolutions and open questions in the field.
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1 Lesons
55 minutes
On-Demand
Free-Video
IMSA

Surfaces with One T-Singularity

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Explore stable surfaces with specific properties, focusing on I-surfaces with T-singularities. Gain insights into Gorenstein surfaces and applications to KSBA compactification of Gieseker's moduli space.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

Secondary Fan, Theta Functions, and Moduli of Calabi-Yau Pairs

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Explore the conjecture on moduli space of triples, unirational components, and toric variety covers. Discover generalizations of secondary fans and universal family constructions in algebraic geometry.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
IMSA

The P=W Conjecture in Genus Two and the Hodge Numbers of O'Grady 10

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Exploration of moduli of sheaves, perverse filtrations, and the P=W conjecture in genus two curves, with insights on Betti and Hodge numbers of O'Grady 10 variety.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Atiyah Class and Sheaf Counting on Local Calabi-Yau 4 Folds

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Explore Donaldson-Thomas invariants of torsion sheaves in Calabi-Yau fourfolds, examining their relation to reduced DT theory and modularity predictions for elliptic K3 surfaces.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 10

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Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 9

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Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 8

0 rewiews
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 7

0 rewiews
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part VI

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.
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1 Lesons
1 hour 38 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 5

0 rewiews
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 57 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 4

0 rewiews
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 3

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part II

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part I

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
IMSA

Compactification of Moduli Spaces of Quantum Toric Stacks

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Explores moduli spaces of quantum toric stacks and their compactification, extending toric varieties to stacky generalizations with finitely generated subgroups of R^d as "lattices".
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1 Lesons
49 minutes
On-Demand
Free-Video
International Mathematical Union

The Horocycle Flow on the Moduli Space of Translation Surfaces

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Explore the intricate dynamics of horocycle flows on translation surface moduli spaces, delving into mathematical concepts and their applications in geometry and dynamical systems.
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1 Lesons
56 minutes
On-Demand
Free-Video
International Mathematical Union

The Horocycle Flow on the Moduli Space of Translation Surfaces

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Explore the intricate dynamics of horocycle flows on translation surface moduli spaces, delving into mathematical concepts and their applications in geometry and dynamical systems.
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1 Lesons
48 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

The Geometry of Synchronization Problems and Learning Group Act

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Geometric framework for synchronization problems using fibre bundles, twisted cohomology, and Hodge theory. Applications to learning group actions and subgroups from noisy data.
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1 Lesons
50 minutes
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International Mathematical Union

Counting Lattice Points in Moduli Spaces of Quadratic Differentials

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Explore lattice point counting in moduli spaces of quadratic differentials, examining applications in Masur-Veech volumes, geodesic multicurves, and meander enumeration.
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1 Lesons
47 minutes
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International Mathematical Union

David Kazhdan- On the Langlands Correspondence for Curves Over Local Fields

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Explores recent results and conjectures on automorphic functions theory for moduli spaces of bundles on curves over local fields, discussing both archimedean and non-archimedean cases.
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1 Lesons
39 minutes
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Hausdorff Center for Mathematics

Horocycle Flow on Moduli Spaces of Translation Surfaces

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Explore the intricate dynamics of horocycle flow on moduli spaces of translation surfaces in this advanced mathematics lecture by Jon Chaika.
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1 Lesons
1 hour 3 minutes
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ICTP Mathematics

Geometry of Moduli Spaces of Curves - Lecture 4

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Explore geometric aspects of moduli spaces of curves with O. Tommasi. Delve into advanced mathematical concepts and their applications in this comprehensive lecture from the ICTP Summer School.
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1 Lesons
1 hour 31 minutes
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Free-Video
ICTP Mathematics

Geometry of Moduli Spaces of Curves - Lecture 1

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Explore geometric aspects of moduli spaces of curves with O. Tommasi. Delve into advanced mathematical concepts and their applications in this comprehensive lecture from the Summer School.
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1 Lesons
1 hour 27 minutes
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ICTP Mathematics

Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 5

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Combinatoria de superficies quadriculadas e geometria de espacos de modulos: explorando conexões entre topologia, geometria e teoria dos números em espaços de módulos.
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1 Lesons
1 hour 7 minutes
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Free-Video
ICTP Mathematics

Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 4

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Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones a la teoría de grupos y análisis.
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1 Lesons
57 minutes
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Free-Video
ICTP Mathematics

Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 3

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Exploración de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, profundizando en conceptos avanzados de matemáticas y análisis geométrico.
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1 Lesons
52 minutes
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ICTP Mathematics

AGRA IV - Combinatorics of Square-Tiled Surfaces and Geometry of Moduli Spaces - Lecture 2

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Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones matemáticas y análisis profundo.
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1 Lesons
57 minutes
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Free-Video
ICTP Mathematics

Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 1

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Exploración de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, abordando conceptos avanzados en matemáticas y análisis geométrico.
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1 Lesons
54 minutes
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ICTP Mathematics

Tautological Rings of Moduli Spaces of Curves - Lecture 3

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Explore advanced concepts in algebraic geometry, focusing on tautological rings and their relation to moduli spaces of curves in this in-depth mathematical lecture.
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1 Lesons
1 hour
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ICTP Mathematics

A Representability Theorem for Moduli Spaces of Pseudo-Holomorphic Curves

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Explore a theorem on representability for moduli spaces of pseudo-holomorphic curves, delving into advanced concepts in geometry and topology.
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1 Lesons
47 minutes
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ICTP Mathematics

More Deformations of the Cohomology Ring of the Moduli Space of Representations

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Explore deformations of cohomology rings in representation spaces of Riemann surfaces, examining algebraic, geometric, and physical perspectives on this rich mathematical topic.
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1 Lesons
1 hour 5 minutes
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ICTP Mathematics

ICTP-IGAP Algebraic Geometry Seminar on Vertical Vafa-Witten Invariants

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Explore Vafa-Witten invariants, focusing on vertical components. Examine moduli space fixpoint loci, generating functions, and conjectural formulas for both vertical and horizontal invariants.
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1 Lesons
1 hour 2 minutes
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