Videos

Hot Topics: Geometric Langlands Conjecture: Opers and FLE

Presenter
April 7, 2026
Keywords:
  • geometric Langlands
  • Opers
  • Kac–Moody algebras
  • Factorization algebras
  • Factorization homology
  • affine Grassmannian
  • Automorphic sheaves
  • Whittaker
  • Eisenstein series
  • moduli spaces
MSC:
  • 14D24 - Geometric Langlands program (algebro-geometric aspects)
  • 22E57 - Geometric Langlands program: representation-theoretic aspects
  • 11G45 - Geometric class field theory
  • 14F08 - Derived categories of sheaves dg categories and related constructions in algebraic geometry
  • 14F10 - Differentials and other special sheaves D-modules Bernstein-Sato ideals and polynomials
  • 14H60 - Vector bundles on curves and their moduli
  • 14M15 - Grassmannians Schubert varieties flag manifolds
  • 17B10 - Representations of Lie algebras and Lie superalgebras algebraic theory (weights)
  • 17B67 - Kac-Moody (super)algebras extended affine Lie algebras toroidal Lie algebras
  • 17B69 - Vertex operators vertex operator algebras and related structures
  • 22E47 - Representations of Lie and real algebraic groups algebraic methods (Verma modules
  • etc.)
  • 22E67 - Loop groups and related constructions group-theoretic treatment
  • 81R10 - Infinite-dimensional groups and algebras motivated by physics including Virasoro Kac-Moody $W$W-algebras and other current algebras and their representations