UAlberta Math and Statistics Colloquium: Changlong Zhong

Equivariant elliptic cohomology generalizes from equivariant cohomology and equivariant K-theory. It has a rich structure and connections to quantum groups, mathematical physics, enumerative geometry, and algebraic combinatorics. Recently, Okounkov and collaborators explored equivariant elliptic cohomology of the cotangent bundle of flag varieties through enumerative geometry. Rimanyi-Weber also studied it from an algebraic geometry perspective. The talk will cover the historical aspects of equivariant elliptic cohomology, especially its application to flag varieties and its relation to representation theory. Additionally, recent progress
involving Langlands dual root system and 3D mirror symmetry will be discussed.