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Algebraic Geometry Seminar - Minyoung Jeon

Ohio State Garden of Constants
Tue, June 10, 2025
10:20 am - 11:30 am
Math Tower (MW) 154

Minyoung Jeon
University of Georgia

Title
Motivic classes of isotropic Grassmannian degeneracy loci and orbit closures

Abstract
The Motivic Hirzebruch classes are polynomials unifying three characteristic classes of singular varieties: the Chern–Schwartz–MacPherson (CSM) class, the K-theoretic Todd class, and the Cappell–Shaneson L-class. While some of these invariants have been studied for certain degeneracy loci of type A and general Schubert varieties and cells, research on degeneracy loci of other types is less extensive. In this talk, we will provide formulas for the motivic classes of isotropic Grassmannian degeneracy loci in type C. Additionally, we will explore the orthogonal orbit closures associated with vexillary involutions and their motivic classes.

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