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#Coherent Sheaves

Showing: 32 courses
University of Chicago Department of Mathematics

Categorical Noncommutative Geometry

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Dive into categorical noncommutative geometry, exploring algebraic varieties through derived categories of coherent sheaves and extending classical concepts to differential graded categories.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Toward the Logarithmic Hilbert Scheme

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Explore logarithmic geometry and its applications in mirror symmetry, focusing on the development of a logarithmic Hilbert scheme and its implications for degenerations and tropical mathematics.
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14 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

A Local Version of HMS for Parabolic Hitchin Space

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Exploring coherent sheaves on Springer fibers and their relation to microlocal sheaves, with applications to mirror duality in parabolic Hitchin spaces.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Mirrors of Curves and Their Fukaya Categories II

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Exploración avanzada de la simetría especular homológica para curvas, enfocándose en la geometría simpléctica de sus espejos y las categorías de Fukaya. Incluye discusiones sobre modelos de Landau-Ginzburg y geometría tropical.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Mirrors of Curves and Their Fukaya Categories I

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Explores homological mirror symmetry for curves, focusing on symplectic geometry of mirrors and comparing coherent sheaves to Fukaya categories. Discusses Landau-Ginzburg models and fiberwise wrapped Fukaya categories.
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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

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

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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 28 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 7

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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 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

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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 57 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 4

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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 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
Hausdorff Center for Mathematics

Modular Perverse Sheaves on the Affine Flag Variety

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Explore geometric representation theory, focusing on categorical realizations of the affine Hecke algebra and the challenge of relating constructible and coherent sheaves through category equivalence in modular cases.
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1 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Finite Slope Part of Overconvergent Cohomology & Coherent Sheaves on Spaces of

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Explores overconvergent cohomology, eigenvarieties, and coherent sheaves in p-adic automorphic forms. Discusses a conjecture on computing coherent sheaves using Galois representation stacks and its relation to p-adic Langlands program.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Categorical Local Langlands for GL_n - The Irreducible Case with Integral Coefficients

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Explore the Fargues-Scholze conjecture for GL_n, focusing on irreducible parameters with integral coefficients. Learn about category localizations and L-packets in this advanced mathematical lecture.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Explicit Examples of Categorical Local Langlands

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Explore explicit examples of categorical local Langlands, focusing on GL_2 and SL_2 groups, examining fully faithful functors, sheaf computations, and connections to Langlands classification.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Bipartite Graphs in Tn and Toric Mirror Symmetry

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Explore bipartite graphs in Tn and their role in toric mirror symmetry, focusing on combinatorial descriptions of homological mirror symmetry and coherent sheaves on toric varieties.
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1 Lesons
44 minutes
On-Demand
Free-Video
IMSA

Wall-Crossing for Elliptic Central Charges

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Explore generating series of K-theoretic enumerative invariants and their relation to stability conditions in GIT quotients, focusing on elliptic central charges and wall-crossing phenomena.
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1 Lesons
32 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Cohomological Hall Algebras of 0-Dimensional Sheaves on Surfaces

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Explore cohomological Hall algebras of 0-dimensional sheaves on surfaces, their explicit description, and applications to moduli spaces of sheaves with positive-dimensional support.
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1 Lesons
1 hour 52 minutes
On-Demand
Free-Video
BIMSA

Recent Progress in Geometric Langlands - ICBS 2024

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Explore recent advancements in geometric Langlands theory, including verified conjectures and related questions in algebraic geometry and representation theory.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institute for Advanced Study

Motives of the Hitchin System

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Delve into advanced algebraic geometry exploring the Hitchin system's topology, examining symmetries through algebraic cycles, Fourier-Mukai duality, and Springer theory applications.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video