[QSMS Representation theory seminar-20250214] K-homology Schubert calculus of the symplectic affine Grassmannian

by qsms posted Jan 16, 2025
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일정시작 2025-02-14
일정종료 2025-02-14
배경색상 #77CC00
  • Date: 2025년 2월 14일 금요일 오후 4:00 ~ 5:00
  • Place:  27동 220호
  • Speaker:  Takeshi Ikdea (Waseda University)
  • Title:   K-homology Schubert calculus of the symplectic affine Grassmannian
  • Abstract

The Schubert calculus of the affine Grassmannian is known to be equivalent to the quantum Schubert calculus of the flag variety. In this talk, I focus on the case of the symplectic group. We introduce a class of symmetric functions, called the affine dual Schur functions of symplectic type, whose set forms the Schubert basis for the ring of equivariant K-homology of the affine Grassmannian of the symplectic group. Time permitting, I will also discuss the connection to the equivariant K-theory of the flag variety. This talk is primarily based on joint work with Mark Shimozono and Kohei Yamaguchi.

 


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