The Foundation of a Generalized Parallel Connection
Delve into advanced matroid theory, exploring foundations, generalized parallel connections, and their relationship with tensor products in algebraic geometry and representation theory.
Cuspidal Hecke Eigensheaves via Localization - Talk 19
Delve into advanced mathematical concepts exploring Beilinson-Drinfeld's construction of cuspidal Hecke eigensheaves and their relationship with Kac-Moody representations.
Miraculous Duality and Applications to Eisenstein Series - Talk 18
Delve into advanced mathematical concepts of D-modules, self-duality, and Eisenstein series through an exploration of Bun_G stack properties and miraculous duality theorems.
Geometric Eisenstein Series and Constant Term Functors in Geometric Langlands - Talk 17
Delve into geometric Eisenstein series and constant term functors, exploring their role in the geometric Langlands program through foundational results and Braden's theorem applications.
Algebraic D-Modules: A Basic Review - Talk 12
Dive into the fundamentals of algebraic D-modules through a comprehensive review based on J. Bernstein's notes, exploring key concepts and theoretical foundations.
Derived Categories of Sheaves on Schemes and Prestacks - Talk 14
Delve into advanced sheaf theory concepts, exploring six-functor formalism, derived categories, and D-modules through an in-depth examination of prestacks and scheme applications.
Compact Generation of D-modules on BunG - Talk 15
Delve into advanced mathematical concepts of D-modules on Bun_G, exploring compact generation, DG categories, and applications in algebraic geometry through detailed theoretical analysis.
Uniformization of Principal Bundles - Talk 8
Delve into advanced algebraic geometry concepts exploring uniformization maps, affine Grassmannians, and principal G-bundles over complex projective curves with expert Minh-Tâm Trinh.
Geometric Contractiveness of the Harder-Narasimhan Stratification in BunG - Talk 10
Delve into the geometric contractiveness of Harder-Narasimhan stratification and its implications for D-modules on BunG, exploring behavior at infinity and quasi-compact properties.
Infinitesimal Structure of BunG and Jet Spaces - Talk 11
Delve into advanced mathematical concepts exploring jet spaces, principal G-bundles, and conformal blocks for Kac-Moody algebras through an in-depth analysis of BunG's infinitesimal structure.
Introduction to Stacks and Principal G-Bundles in Algebraic Geometry - Talk 1
Dive into algebraic stacks theory and principal G-bundles on algebraic curves, exploring their moduli stack properties and connections to geometric representation theory.
The Affine Grassmannian and Geometric Satake - Talk 7
Delve into advanced mathematical concepts of affine Grassmannian and its geometric properties through an in-depth seminar by renowned mathematician Ngô Bảo Châu.
The Stacks of n-Truncated Barsotti-Tate Groups - Part 2
Delve into advanced algebraic geometry concepts, focusing on n-truncated Barsotti-Tate groups and n-smooth group schemes over F_p-algebras, with emphasis on their structural properties and relationships.
The Local and Global Hitchin Map - Talk 21
Delve into advanced mathematical concepts exploring Hamiltonian reduction, local and global Hitchin maps, and their applications in BunG framework and Hecke eigensheaf theory.
Algebraicity of BG and BunG - Talk 3
Delve into algebraic stacks theory, exploring classifying stack BG and Bun_{G,X}, with focus on GL_n groups and smooth projective curves, including Weil's automorphic interpretation.
Functor of Points and Descent - Talk 2
Delve into advanced algebraic geometry concepts, exploring schemes, stacks, and topology through the lens of functor points and descent theory in this mathematical seminar.
Examples and Basic Properties of BunG - Talk 9
Explore concrete examples of BunG geometry through explicit polynomial computations, focusing on P^1 cases and examining vector bundles, G-torsors, and Ramanathan's deformation theory.
BunG and Higgs Bundles - Moduli Stacks and Geometric Langlands - Talk 4
Delve into advanced mathematical concepts of moduli stacks, exploring tangent/cotangent stacks, Higgs bundles, and their role in Geometric Langlands through expert analysis of BunG framework.
The Harder-Narasimhan Filtration and Stability Conditions for Vector Bundles
Delve into the mathematical theory of stability conditions and Harder-Narasimhan filtration for vector bundles, exploring their applications in geometric invariant theory and moduli spaces.
Baker-Bowler Theory for Lagrangian Grassmannians
Delve into advanced mathematical concepts exploring Baker-Bowler theory's extension to Lagrangian Grassmannians, covering matroid theory, symplectic vector spaces, and cryptomorphic definitions.
Paths to Matroid Representations
Delve into advanced matroid theory, exploring representation theorems, connectivity statements, and orthogonal matroids through historical developments and modern algebraic approaches.