June 10, 2025
10:20 am
-
11:30 am
Math Tower (MW) 154
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2025-06-10 10:20:00
2025-06-10 11:30:00
Algebraic Geometry Seminar - Minyoung Jeon
Minyoung JeonUniversity of GeorgiaTitleMotivic classes of isotropic Grassmannian degeneracy loci and orbit closuresAbstractThe 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.
Math Tower (MW) 154
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2025-06-10 10:20:00
2025-06-10 11:30:00
Algebraic Geometry Seminar - Minyoung Jeon
Minyoung JeonUniversity of GeorgiaTitleMotivic classes of isotropic Grassmannian degeneracy loci and orbit closuresAbstractThe 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.
Math Tower (MW) 154
America/New_York
public
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.
