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#Compactifications

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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

Mirrors of Curves and Their Fukaya Categories - Denis Auroux

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Explore symplectic geometry with Denis Auroux as he delves into mirrors of curves and their Fukaya categories, covering topics from monomial examples to Lagrangian admissibility.
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14 Lesons
1 hour 19 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
IPhT-TV

Hypersurface Symmetry at Infinite Distance and its Stringy Origin

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Explore Hodge-structure symmetry at infinite distance in moduli space and its connection to string theory, focusing on the Landscapia framework.
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1 Lesons
37 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Compactifying the Set of Sequences of Positive Real Numbers by Their Asymptotic Behavior and Its Applications to Graph Limits

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Explore advanced mathematical concepts in discrete probability and statistics through lectures, minicourses, and collaborative sessions. Engage with researchers and delve into graph limits and network analysis.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institute for Advanced Study

Spaces of Lorentzian Polynomials

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Delve into advanced mathematical concepts exploring Lorentzian polynomials, their topology, and relationship with local Dressians, featuring insights on compactification and Tutte group connections.
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1 Lesons
1 hour 3 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

The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1

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Explore the Geometric Langlands conjecture and non-abelian Hodge theory, examining connections between quantum fields, geometry, and representation theory in modern mathematics and theoretical physics.
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19 Lesons
1 hour 14 minutes
On-Demand
Free-Video
IMSA

Kato-Usui Type Extension of General Period Map

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Explore Kato-Usui theory for extending non-classical period maps, its applications, and potential future directions in algebraic geometry and Hodge theory.
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1 Lesons
59 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

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

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
Fields Institute

Cohomology of Compactifications of Hypersurface Arrangement Complements

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Explore advanced algebraic geometry concepts, focusing on cohomology of compactifications in hypersurface arrangement complements with expert Alex Fink.
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1 Lesons
28 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Metric-Functional Boundary of Cayley Graphs

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Explore the horofunction boundary of Cayley graphs for small finitely generated groups, focusing on linear growth and the Gap Conjecture. Gain insights into metric spaces and group theory.
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1 Lesons
37 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Tropicalization of the Universal Jacobian: Logarithmic and Non-Archimedean Views

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Explore tropicalization of universal Jacobians, examining logarithmic and non-archimedean perspectives. Gain insights into moduli spaces, cone stacks, and new stability conditions for compactified Jacobians.
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1 Lesons
43 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Universally Counting Curves in Calabi-Yau Threefolds

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Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Universally Counting Curves in Calabi-Yau Threefolds

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Explore a universal enumerative invariant for curves in algebraic varieties, focusing on threefolds with nef anticanonical bundle and its implications for the MNOP conjecture.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Different Notions of Tameness Revisited in Étale Morphisms

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Explore different approaches to defining tameness in étale morphisms of schemes, focusing on valuation-theoretic methods and nonarchimedean geometry to overcome limitations of compactification-based approaches.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Dual-Frame Generalized Harmonic Gauge on Hyperboloidal Slices - IPAM at UCLA

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Explore advanced techniques in general relativity, focusing on including future null-infinity in computational domains for cosmic censorship studies and gravitational wave astronomy applications.
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10 Lesons
42 minutes
On-Demand
Free-Video
Arvin Ash

The Battle for Reality - String Theory vs Quantum Field Theory

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Explore the battle between String Theory and Quantum Field Theory, examining their approaches to explaining fundamental particles, forces, and the challenge of quantizing gravity.
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10 Lesons
16 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Modularity and Resurgence in Calabi-Yau Compactifications

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Explore modularity and resurgence in Calabi-Yau compactifications, delving into advanced concepts in theoretical physics and mathematics.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IPhT-TV

String Universality and Classification of String Vacua - Landscapia

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Explore string universality and classification of string vacua in this advanced physics lecture by Miguel Montero, delving into complex theoretical concepts.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
IPhT-TV

Tadpole and Moduli in Type IIB on the 1(9) Landau-Ginzburg Model - Landscapia

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Explore tadpole and moduli concepts in Type IIB string theory, focusing on the 1(9) Landau-Ginzburg model within the context of Landscapia.
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1 Lesons
41 minutes
On-Demand
Free-Video
IPhT-TV

Moduli Stabilization, Scale Separation and Holography in Landscapia

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Explore moduli stabilization, scale separation, and holography in string theory landscapes, delving into advanced theoretical physics concepts.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IPhT-TV

(De)Constructing Scale Separation with Weak Gravity and Anisotropies - Landscapia

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Explore scale separation in weak gravity and anisotropies, focusing on (de)construction techniques and implications for landscape theories.
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1 Lesons
29 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Non-perturbative Resolution of Strong Coupling Singularities in 4d N=1 Supersymmetry - Heterotic String Compactifications

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Explore non-perturbative resolutions of strong coupling singularities in 4d N=1 heterotic string compactifications using M-theory duality.
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1 Lesons
24 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Wilsonian Effective Action for (1+3+6)-Dimensional Emergent Universes in the IKKT Model

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Explore the IKKT model's potential for describing Type IIB superstring theory and its emergent universe solutions, focusing on the natural emergence of Lorentz invariant mass terms.
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1 Lesons
51 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Constraints on Kahler Moduli Space of 6D N=1 Supergravity

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Explore constraints on Kahler moduli space in 6D N=1 supergravity, delving into advanced theoretical physics concepts and their implications.
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1 Lesons
33 minutes
On-Demand
Free-Video
BIMSA

Massive Gauge/Gravity Scattering Amplitudes, Geometric and Topological Mass Generations and Double Copy

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Explore massive gauge/gravity scattering amplitudes, geometric and topological mass generations, and double copy constructions in Kaluza-Klein and Chern-Simons theories.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video