Donaldson-Thomas and Gromov-Witten Theories - Part II
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.
Donaldson-Thomas and Gromov-Witten Theories - Part I
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.
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.
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.
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.
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.
Bipartite Graphs in Tn and Toric Mirror Symmetry
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.
Wall-Crossing for Elliptic Central Charges
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.
Cohomological Hall Algebras of 0-Dimensional Sheaves on Surfaces
Explore cohomological Hall algebras of 0-dimensional sheaves on surfaces, their explicit description, and applications to moduli spaces of sheaves with positive-dimensional support.
Recent Progress in Geometric Langlands - ICBS 2024
Explore recent advancements in geometric Langlands theory, including verified conjectures and related questions in algebraic geometry and representation theory.
Motives of the Hitchin System
Delve into advanced algebraic geometry exploring the Hitchin system's topology, examining symmetries through algebraic cycles, Fourier-Mukai duality, and Springer theory applications.