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Fields Institute

Derived Moduli Spaces of Hermitian-Einstein Connections

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Explore advanced concepts in geometry and physics, focusing on derived moduli spaces of Hermitian-Einstein connections in this seminar by Dennis Borisov.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Isotrivial Lagrangian Fibrations of Compact Hyper-Kähler Manifolds

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Explore a geometria de fibrações lagrangianas isotriviais em variedades hiperkähler compactas, incluindo tricotomia baseada na dimensão de Kodaira e busca por novos tipos de deformação.
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1 Lesons
1 hour
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Unlikely Intersections of Singular Foliations

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Explore unlikely intersections of singular foliations in this advanced mathematics talk, delving into complex algebraic geometry and holomorphic foliation theory.
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1 Lesons
31 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Positivity of Higher Exterior Powers of the Tangent Bundle

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Explorez la positivité des puissances extérieures supérieures du fibré tangent. Approfondissez les notions de positivité, les classes de chaînes et les preuves mathématiques avancées.
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7 Lesons
42 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Asymptotic Behaviour of Rational Curves

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Explorez le comportement asymptotique des courbes rationnelles à travers une conférence mathématique approfondie présentée par Loïs Faisant au CIRM.
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

New Solution of a Problem of Kolmogorov on Width Asymptotics in Holomorphic Approximation

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Explore new solutions to Kolmogorov's problem on width asymptotics in holomorphic functions, presented by Stéphanie Nivoche at a mathematics conference.
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1 Lesons
38 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Folheações Holomorfas - Aula 16

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Explore advanced concepts in holomorphic foliations with Dr. Jorge Vitório Pereira in this doctoral-level lecture, delving into complex mathematical theories and their applications.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Folheações Holomorfas - Aula 17

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Explore advanced concepts in holomorphic foliations with Dr. Jorge Vitório Pereira in this doctoral-level lecture, delving into complex mathematical theories and their applications.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Hodge Loci - Aula 19

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Explore Hodge loci in advanced mathematics, delving into complex algebraic geometry and Hodge theory concepts for doctoral-level understanding.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Hackaday

Designing with Complex Geometry - Class 5

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Explore advanced 3D modeling techniques using plugins like Kangaroo 2 and Anemone. Learn to create vaults, cushions, and complex geometries through hands-on demonstrations and Q&A sessions.
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9 Lesons
1 hour 34 minutes
On-Demand
Free-Video
BunG Seminar

Uniformization of Principal Bundles - Talk 8

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Delve into advanced algebraic geometry concepts exploring uniformization maps, affine Grassmannians, and principal G-bundles over complex projective curves with expert Minh-Tâm Trinh.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Moduli of Calabi-Yau Manifolds and Mirror Symmetry

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Delve into advanced mathematical concepts exploring Calabi-Yau manifolds and mirror symmetry theory through expert insights from Kyoto University's mathematics department.
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1 Lesons
31 minutes
On-Demand
Free-Video
The Royal Institution

The Search for a Theory of Everything – with Yang-Hui He

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Explore the quest for a unified theory of everything, tracing its history from ancient astronomers to modern string theory and the interplay between physics, mathematics, and data.
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29 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Hackaday

Designing with Complex Geometry - Class 4

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Explore advanced Grasshopper techniques including L-Systems, attractor points, vector lines, and fields. Learn to create complex geometries and enhance your parametric design skills.
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10 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Hackaday

Designing with Complex Geometry - Class 3

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Explore advanced techniques in Grasshopper for creating complex geometries, including grids, cells, and surface morphing. Hands-on exercises reinforce learning and practical application of concepts.
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9 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Hackaday

Designing with Complex Geometry - Class 2

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Explore advanced geometric design techniques, including curve types, point manipulation, mathematical expressions, and 3D transformations to create complex floral patterns.
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11 Lesons
38 minutes
On-Demand
Free-Video
Insights into Mathematics

A Brief History of Geometry III - The 19th Century - Sociology and Pure Mathematics

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Explore the golden age of geometry in the 19th century, covering inversive, projective, non-Euclidean, and complex geometries. Understand key developments and their impact on modern mathematics.
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7 Lesons
53 minutes
On-Demand
Free-Video
IMSA

The Miyaoka-Yau Equality for Pairs

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Explore Miyaoka-Yau Equality for klt pairs, characterizing ball quotients through Chern classes. Gain insights into this advanced mathematical concept and its applications.
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5 Lesons
1 hour 5 minutes
On-Demand
Free-Video
IMSA

Special Lecture Series on Numerical Geometry - Tristan Collins

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Explore complete Calabi-Yau metrics on Fano manifolds with singular divisors, focusing on two-component cases and discussing potential generalizations to more complex scenarios.
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9 Lesons
51 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 Mathematical Union

Random Algebraic Dynamics in Complex Dimension 2

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Explore dynamics of automorphism groups on projective surfaces, covering measure classification, orbit closures, and finite orbits. Techniques from geometry and dynamical systems are discussed.
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16 Lesons
43 minutes
On-Demand
Free-Video
International Mathematical Union

Canonical Kaehler Metrics and Stability of Algebraic Varieties

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Explore canonical Kähler metrics, algebraic variety stability, and the Yau-Tian-Donaldson conjecture in complex geometry. Delve into Kähler manifolds, curvature, and pluripotential theory with recent progress and applications.
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28 Lesons
44 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

An Upper Bound on the Topological Complexity of Discriminantal Varieties

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Explore upper bounds on topological complexity of discriminantal varieties, with applications to configuration spaces. Combines Morse theory, equivariant homotopy theory, and complex geometry.
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10 Lesons
54 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Higgs Bundles - Lecture 1

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Explore complex geometric concepts in Higgs bundles, including Riemann surfaces, theorems, and constructions. Gain insights into advanced mathematical topics through examples, exercises, and proofs.
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21 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Fields Institute

Quotients of the Drury-Arveson Space and Their Classification in Terms of Complex Geometry

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Explore quotients of Drury-Arveson space, their classification using complex geometry, and connections to hyperbolic metrics and holomorphic multipliers in this advanced mathematical lecture.
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16 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Generalized Calabi-Yau Problem

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Explore advanced concepts in generalized complex geometry, focusing on holomorphically trivial generalized canonical bundles, Calabi-Yau structures, and the current status of the Calabi-Yau problem.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
IMSA

Hyper-Kähler Manifolds - Part 2

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Explore advanced properties of hyper-Kähler manifolds, focusing on 4-dimensional cases and their topological characterization in relation to K3 surfaces and abelian surfaces.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
IMSA

Hyper-Kähler Manifolds - Part 1

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Explore the foundations of hyper-Kähler manifolds, their connection to K3 surfaces, and key properties in this advanced mathematics lecture by renowned expert Claire Voisin.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Quantum Representations and Bogomolov-Katzarkov Surfaces

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Exploring quantum representations and their application to Bogomolov-Katzarkov surfaces, addressing the Shafarevich conjecture on holomorphic convexity in algebraic geometry.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
IMSA

Surface Quotient Singularities and Big Cotangent Bundle

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Explore hyperbolic properties of surfaces with big cotangent bundle, including the Green-Griffiths-Lang conjecture and a new bigness criterion for orbifold surface resolutions.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
IMSA

Orbifold Jet Differentials and Hyperbolicity Conjectures

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Explore orbifold jet differentials and their role in hyperbolicity conjectures. Discuss limitations in extending classical results to orbifold contexts, based on collaborative research.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

Filtered Ends and Bochner Hartogs Dichotomy on Complete Kahler Manifolds

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Explore filtered ends and Bochner Hartogs dichotomy on complete Kahler manifolds, examining relationships between generalized ends and first compactly supported cohomology.
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1 Lesons
46 minutes
On-Demand
Free-Video
IMSA

Perverse Sheaves on Varieties with Large Fundamental Group

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Explore perverse sheaves on Kähler manifolds, focusing on a generalization of the Singer-Hopf conjecture and its proof using Shafarevich conjecture ideas. Joint work with Donu Arapura presented.
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1 Lesons
52 minutes
On-Demand
Free-Video
IMSA

Mixed Hodge Structures on Cohomology Jump Ideals

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Explore mixed Hodge structures on cohomology jump ideals in representation varieties, extending Goldman and Millson's work to non-compact Kähler manifolds and variations of mixed Hodge structures.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

L2 Invariants of Hodge Modules and Shafarevich Morphisms

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Explore L2 invariants of Hodge Modules and Shafarevich morphisms, including L2 constructible cohomology and Mixed Hodge structures, with potential topological implications of linear Shafarevich conjecture.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
IMSA

Twistor Space for Moduli of Local Systems on Open Curves

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Explore Deligne-Hitchin twistor spaces for moduli of framed local systems on open curves, examining harmonic bundles, preferred sections, and mixed twistor structures in moduli space geometry.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Remarks on Degenerations of K-Trivial Varieties

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Exploration of higher-dimensional analogues to K3 surface degenerations, focusing on Hyperkaehler manifolds and touching on Calabi-Yau cases. Insights into moduli space compactifications for these complex geometric structures.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Mathematical Union

Xiaohua Zhu - Kähler-Ricci Flow on Fano Manifolds

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Explore the Kähler-Ricci flow on Fano manifolds, delving into complex geometry and differential equations. Gain insights into this advanced mathematical topic through expert analysis and explanations.
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1 Lesons
45 minutes
On-Demand
Free-Video
International Mathematical Union

Kähler Manifolds with Curvature Bounded Below

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Explore Kähler manifolds with curvature bounded below, covering Yau's uniformization conjecture, compactification of manifolds, and Gromov-Hausdorff limits in this advanced mathematical survey.
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1 Lesons
42 minutes
On-Demand
Free-Video
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
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 1

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Explore the intricacies of hyperkähler manifolds in this advanced algebraic geometry lecture, delving into classical concepts and recent developments in the field.
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1 Lesons
50 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 5

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Explore advanced concepts in algebraic geometry, focusing on hyperkähler manifolds and their properties in this in-depth lecture by Elham Izadi.
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1 Lesons
41 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 4.1

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Explore advanced concepts in complex geometry, focusing on Hyperkähler manifolds and their properties in this comprehensive mathematical lecture.
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1 Lesons
51 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 4.2

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Explore advanced concepts of Hyperkähler manifolds with expert Elham IZADI, delving into complex geometric structures and their applications in mathematics and physics.
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1 Lesons
42 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 3.2

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Explore advanced concepts of Hyperkähler manifolds, delving into complex geometric structures and their applications in mathematics and theoretical physics.
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1 Lesons
35 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 3.1

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Explore advanced concepts in complex geometry, focusing on Hyperkähler manifolds and their properties in this in-depth mathematical lecture by Elham IZADI.
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1 Lesons
47 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 2

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Explore advanced concepts in algebraic geometry, focusing on hyperkähler manifolds and their properties in this in-depth lecture by Elham Izadi from UCSD.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 1

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Explore the fascinating world of hyperkähler manifolds in this advanced mathematics lecture, delving into complex geometric structures and their properties.
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1 Lesons
52 minutes
On-Demand
Free-Video
ICTP Mathematics

Hyperkähler Manifolds, an Introduction I – Part 2

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Explore advanced concepts of Hyperkähler manifolds with expert Elham IZADI, delving into complex geometric structures and their applications in mathematics and theoretical physics.
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1 Lesons
49 minutes
On-Demand
Free-Video
IMSA

Canonical Metrics in Complex Geometry

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Explore canonical metrics in complex geometry, focusing on pluriclosed and balanced metrics. Learn about new constructions of compact non-Kähler manifolds and their properties.
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1 Lesons
55 minutes
On-Demand
Free-Video
IMSA

A More Comprehensible Proof of the Reductive Shafarevich Conjecture

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Explore a new, more comprehensible proof of the reductive Shafarevich conjecture in complex geometry, connecting non-abelian Hodge theories and presenting recent work on Shafarevich morphisms construction.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

The KSBA Moduli Space of Log Calabi-Yau Surfaces

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Explore the geometry of log Calabi-Yau surfaces and their KSBA moduli space in this advanced mathematical lecture, delving into complex algebraic geometry concepts.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Holomorphic Discs of Negative Maslov Index and Extended Deformations in Mirror Symmetry

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Explore holomorphic discs of negative Maslov index and their impact on mirror symmetry, focusing on extended deformations of Landau-Ginzburg models and family Floer theory in complex geometry.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Discrete Group Actions on the Complex Projective Plane CP^2

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Explore discrete group actions on CP^2, extending classical Kleinian group theory to higher dimensions. Gain insights into complex geometry and holomorphic dynamics.
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1 Lesons
48 minutes
On-Demand
Free-Video
IMSA

Geometric Quantization of General Kähler Manifolds

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Explore geometric quantization on Kähler manifolds, examining compatible constructions of function quantization, Hilbert space structure, and Kähler structure dependence in symplectic manifolds.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Fields Institute

Cohomology of Moduli Spaces of Curves

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Explore the intricate cohomology of curve moduli spaces with Hannah Larson, delving into advanced algebraic geometry concepts and their applications.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Universally Counting Curves in Calabi-Yau Threefolds

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Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and its implications for the MNOP conjecture.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Calabi Problem in Generalized Kahler Geometry

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Explores generalized Kahler structures, their connection to Kahler manifolds with holomorphic Poisson structures, and presents an approach to the Calabi problem in this context, with focus on toric complex Poisson varieties.
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1 Lesons
54 minutes
On-Demand
Free-Video
IMSA

Wobbly Fixed Points, Equivariant Multiplicities and U(p,q)-Higgs Bundles

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Explores geometry of Higgs bundle moduli spaces, focusing on nilpotent cone fixed points and their classification. Analyzes U(p,q)-Higgs bundles and compares results with equivariant multiplicities.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Twistor Spaces and Compact Manifolds Admitting Kähler and Non-Kähler Structures

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Explore twistor spaces and compact manifolds with dual Kähler and non-Kähler structures. Discover historical examples and new findings in higher dimensions using quaternion twistor spaces of hyperkähler manifolds.
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1 Lesons
32 minutes
On-Demand
Free-Video
IMSA

Double Groupoids and Generalized Kahler Structures

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Explore double groupoids and generalized Kahler structures, focusing on holomorphic symplectic groupoids and their role in describing generalized Kahler metrics using a single real scalar function.
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1 Lesons
59 minutes
On-Demand
Free-Video
IMSA

Complex Calabi-Yau Threefolds with Boundary

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Explore complex Calabi-Yau threefolds with boundary, extending Hitchin's local Torelli Theorem. Discover connections to G2 structures and affine differential geometry in this advanced mathematical lecture.
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1 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Higgs Bundles, Convex Cocompact Subgroups of SU(1,n), and Slodowy Slices

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Explore Higgs bundles, SU(1,n) subgroups, and Slodowy slices. Discover connections between stable Higgs bundles and holonomy groups, focusing on SU(1,n) representations and complex hyperbolic manifolds.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Fields Institute

Canonical Metrics on Holomorphic Bundles

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Explore canonical metrics on holomorphic bundles with renowned mathematician Shing-Tung Yau, delving into advanced geometric analysis and complex differential geometry.
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1 Lesons
48 minutes
On-Demand
Free-Video
Fields Institute

Moduli Spaces of Weighted Pointed Stable Curves and Grassmannians G_n,2

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Explore moduli spaces of weighted pointed stable curves and their connections to Grassmannians G_n,2 in this advanced mathematics talk by Svjetlana Terzic from the University of Montenegro.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Holomorphic Torus Fibre Bundles over Toric Varieties - Generalised Calabi-Eckmann Fibrations

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Explore holomorphic torus fibre bundles, Calabi-Eckmann fibrations, and complex structures on moment-angle manifolds in this advanced mathematics lecture by Taras Panov.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Kähler-Einstein Bergman Metrics on Pseudoconvex Domains

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Explore Kähler-Einstein Bergman metrics on pseudoconvex domains, examining Yau and Cheng's conjectures and related questions in complex geometry.
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1 Lesons
43 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Balanced Metrics and the Hull-Strominger System

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Explore balanced metrics and the Hull-Strominger system in complex geometry, examining their connections and applications in mathematical physics.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

The Hypoelliptic Laplacian in Real and Complex Geometry

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Explores the hypoelliptic Laplacian's construction and applications in real and complex geometry, focusing on de Rham and Dolbeault theories and its role as a geometric Fokker-Planck operator.
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1 Lesons
56 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry

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Explore Kobayashi non-hyperbolicity of Calabi-Yau manifolds through mirror symmetry. Gain insights into complex geometry, holomorphic curves, and Hodge theory in this advanced mathematical seminar.
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13 Lesons
56 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Brazil-France School on Foliation Theory - Lecture

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Explore advanced concepts in foliation theory with renowned mathematician Carolina Araujo in this Brazil-France School lecture.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
NCCR SwissMAP

Quillen Metrics and Applications - Part 1

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Explorez les métriques de Quillen et leurs applications dans cette conférence approfondie sur les cartes jaugées, les vortex et leurs moduli.
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1 Lesons
52 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Polynomially Convex Embeddings of Real Manifolds in C^n

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Explore geometric embeddings of real manifolds in complex spaces, focusing on polynomial convexity and its connections to approximation theory and diverse mathematical areas.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Geometric Quantization of General Kahler Manifolds

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Explore geometric quantization on Kähler phase spaces, examining function quantization, Hilbert space structure, and Kähler structure dependence. Investigate curvature's impact on quantization.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Geometry from Donaldson-Thomas Invariants

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Explore geometric structures in stability conditions using DT invariants of CY3 triangulated categories, focusing on hyperkähler structures and complexified Hitchin systems.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Hodge Conjecture for Singular Varieties

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Explore the Hodge conjecture for singular varieties in algebraic geometry, delving into complex mathematical concepts and recent developments.
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1 Lesons
46 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Real Structures on Hyper-Kähler Manifolds

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Explore real structures on hyper-Kähler manifolds with Lie Fu, delving into advanced geometric concepts and their applications in mathematics.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

On the Metric Structure of Section Rings

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Explore the metric structure of section rings in complex geometry, dynamical systems, and foliation theory through an in-depth mathematical analysis.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

On the Automorphisms of Compact Kähler Manifolds

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Explore automorphisms of compact Kähler manifolds with Tien-Cuong Dinh in this advanced mathematics conference talk, delving into complex geometry and dynamical systems.
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1 Lesons
48 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Extension of Quasiplurisubharmonic Functions - 2022

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Explore extension techniques for quasiplurisubharmonic functions in complex geometry, dynamical systems, and foliation theory. Gain insights from Dan Coman's conference talk at CIRM.
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1 Lesons
43 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Formal Principle for Rational Curves in Complex Threefolds

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Explore formal principles for rational curves in complex threefolds, delving into advanced mathematical concepts in complex geometry and dynamical systems.
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1 Lesons
47 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries

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Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.
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32 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Efimov K-theory and Its Applications to Complex Geometry - Lecture 2

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Explore Efimov's extended algebraic K-theory, its broader categorical context, and applications to complex geometry in this advanced mathematics lecture.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Hodge Theory and Lagrangian Fibrations in Holomorphic Symplectic Manifolds

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Explore Hodge theory and Lagrangian fibrations in holomorphic symplectic manifolds. Delve into conjectures, isomorphisms, and decomposition theorems in this advanced mathematical discourse.
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16 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Hilbert Spaces of Square Integrable Holomorphic Functions

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Explore square integrable holomorphic functions, their historical development, and recent advancements in complex analysis and geometry through Bergman spaces.
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1 Lesons
57 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Non-Archimedean Pluripotential Theory and K-stability - Lecture 3

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Explore non-Archimedean pluripotential theory and K-stability in this advanced mathematics lecture, part of a series connecting complex and non-Archimedean geometry.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Vanishing Theorems in Positive Characteristic

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Explore vanishing theorems in positive characteristics, focusing on Kodaira and Kawamata-Viehweg theorems. Examine their applications, limitations, and recent developments in log Fano varieties and del Pezzo surfaces.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
BIMSA

Duality Between the Pseudoeffective and the Movable Cone on a Projective Manifold

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Explore duality between pseudoeffective and movable cones on projective manifolds, including recent developments and connections to non-Archimedean Calabi-Yau theorem.
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1 Lesons
52 minutes
On-Demand
Free-Video
BIMSA

Kahler-Einstein Metrics on Fano Manifolds - ICBS 2024

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Explore Kahler-Einstein metrics on Fano manifolds, bridging differential and algebraic geometry through singularity formations and recent advancements in the field.
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51 minutes
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BIMSA

Exotic Calabi-Yau Metric and Holomorphic Fibration

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Explore complete Calabi-Yau metrics, from historical developments to recent constructions on C^3, with insights into collapsing metrics on Calabi-Yau 3-folds.
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48 minutes
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BIMSA

Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics

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Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.
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57 minutes
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BIMSA

Hermitian Yang-Mills Connections on Log Terminal Kahler Spaces

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Explore Hermitian Yang-Mills theory on mildly singular spaces, focusing on recent results for sheaves and log terminal Kähler spaces.
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57 minutes
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Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - Deformations of Exterior Differential Ideals

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like deformations of exterior differential ideals.
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46 minutes
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Instituto de Matemática Pura e Aplicada

On the Formal Principle for Curves on Projective Surfaces

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into recent advances in complex algebraic geometry and foliation theory.
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1 hour 1 minute
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Instituto de Matemática Pura e Aplicada

Surfaces with Wahl Singularities and Their Applications - Lecture 1

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Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this comprehensive lecture from the V Latin American School of Algebraic Geometry.
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1 hour 13 minutes
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Instituto de Matemática Pura e Aplicada

Polymatroidal Tilings Associated to Limit Linear Series

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like Fano 3-folds, logarithmic foliations, and curve singularities.
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1 Lesons
55 minutes
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Instituto de Matemática Pura e Aplicada

Surfaces with Wahl Singularities and Their Applications - Lecture 4

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Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this advanced mathematics lecture from the V Latin American School of Algebraic Geometry.
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1 hour 14 minutes
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Instituto de Matemática Pura e Aplicada

Surfaces with Wahl Singularities and Their Applications - Lecture 3

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Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this advanced mathematics lecture from the V Latin American School of Algebraic Geometry.
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1 Lesons
1 hour 10 minutes
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Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - Fiberwise Criteria for Forms of Algebras

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Explore advanced concepts in foliation theory and algebraic geometry, focusing on fiberwise criteria for forms of algebras. Gain insights from renowned mathematician Arturo Pianzola.
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58 minutes
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Instituto de Matemática Pura e Aplicada

Instanton Sheaves - The Next Frontier in Algebraic Geometry

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Explore instanton sheaves, a frontier in algebraic geometry. Gain insights from expert Marcos Jardim on this advanced mathematical topic within the V Latin American School of Algebraic Geometry.
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1 hour 1 minute
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