Coherent Sheaves Courses and Certifications

M-Seminar, Kansas State University

Orientations on Moduli Spaces of Coherent Sheaves on Calabi-Yau 4-folds - Part II

Delve into orientations on moduli spaces of coherent sheaves on Calabi-Yau 4-folds, exploring corrections to Cao-Gross-Joyce's work and the concept of "flag structures" determining canonical orientations.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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

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.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Orientations on Moduli Spaces of Coherent Sheaves on Calabi-Yau 4-folds - Part I

Delve into the mathematics of orientations on moduli spaces of coherent sheaves on Calabi-Yau 4-folds, exploring corrections to previous work and the concept of "flag structures" that determine canonical orientations.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Harvard CMSA

Cohomological Hall Algebras and Perverse Coherent Sheaves on Toric Calabi-Yau 3-Folds

Delve into advanced mathematical concepts exploring cohomological Hall algebras, their relationship with perverse coherent sheaves, and their applications in toric Calabi-Yau 3-folds geometry.

• YouTube
• 41 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Perverse Coherent Sheaves on Symplectic Singularities - Part 3 of 3

Explore advanced algebraic geometry through perverse coherent sheaves on symplectic singularities, connecting modular representation theory and geometric Langlands program.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Perverse Coherent Sheaves on Symplectic Singularities - Part 2 of 3

Explore perverse coherent sheaves on symplectic singularities, connecting algebraic geometry to representation theory and gauge theories in this advanced mathematical seminar.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Perverse Coherent Sheaves on Symplectic Singularities - Part 1 of 3

Explore perverse coherent sheaves on symplectic singularities, connecting algebraic geometry to representation theory and gauge theories in this advanced mathematical seminar.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Modular Perverse Sheaves on the Affine Flag Variety

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.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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

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.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Explicit Examples of Categorical Local Langlands

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.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 18

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.

• YouTube
• 58 minutes
• On-Demand
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 17

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.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 16

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.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 15

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.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Theories - Part 14

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.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video