Event
Rui Xiong (University of Ottawa)
Wednesday, February 5, 2025 14:00to15:00
听CIRGET/LACIM Algebraic Geometry Seminar
Title: Chern classes of subvarieties over partial flag varieties
Abstract: We study the Chern classes of subvarieties over partial flag varieties. The Chern鈥揝chwartz鈥揗acPherson (CSM) classes extend the classical notion of Chern classes to singular varieties. In this talk, we will outline the computation of CSM classes for Schubert varieties, Richardson varieties, and projected Richardson varieties within partial flag varieties. Our main result establishes a connection between the CSM classes of projected Richardson varieties and those of affine Schubert varieties via the affine Grassmannian. By comparing these classes, we provide a new pipe dream model for the Grassmannian case, known as
positroid varieties. This is a joint work with N. Fan, P. Guo and C. Su.
Location: UQAM PK-5675