Murnaghan-Nakayama rules in Schubert Calculus
Người báo cáo: Đỗ Lê Hải Thụy (THPT chuyên Bảo Lộc)

Thời gian: 14h45 - 15h30, thứ 3, 04/1/2022

Hình thức: online, link: https://meet.google.com/pbe-gxiz-wpu

Tóm tắt: Schubert calculus is a branch of algebraic geometry introduced in the nineteenth century by Hermann Schubert, in order to solve various counting problems of projective geometry (part of enumerative geometry). It was a precursor of several more modern theories, for example quantum cohomology and quantum K-theory. In this talk, we emphasize the combinatorial aspects of this exciting field. Starting with the combinatorial results of Schur polynomials, we present recent results related to (symmetric) stable Grothendieck polynomials. In the final part, we are going to discuss conjectures related to dual stable Grothendieck polynomials.