Seminar: Quantum K-theory of flag varieties

Seminar| Institute of Mathematical Sciences

Time:Thursday, July 10th, 2025,16:30-17:30

Abstract: Quantum K-theory studies enumerative invariants of complex varieties or symplectic manifolds through counting nodal curves. It naturally arises in the framework of 3D mirror symmetry, a duality between mirror holomorphic symplectic varieties, of which (type-A) flag varieties are among the first examples. In this talk, we study the genus-zero quantum K-theory of flag varieties from the perspective of Givental cone. We prove a reconstrction theorem of the cone, and discuss several implications. The proof involves torus fixed point localization and abelian/non-abelian correspondence.