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Algebraic Geometry Seminar - Yiyu Wang

Ohio State Garden of Constants
September 9, 2025
10:20 am - 11:15 am
Math Tower (MW) 154

Yiyu Wang
The Ohio State University

Title
The local Euler obstruction of a matroid Schubert variety

Abstract
Matroid Schubert varieties--Schubert varieties of hyperplane arrangements--serve a role in the Kazhdan-Lusztig theory of matroids analogous to that of classical Schubert varieties in geometry. These varieties carry rich combinatorial data about the underlying hyperplane arrangements. The local Euler obstruction, a key invariant introduced by MacPherson in his definition of Chern classes for singular varieties, captures local information of the singularity. In this talk, we study the local Euler obstruction of matroid Schubert varieties and demonstrate that it is a combinatorial invariant: specifically, it equals the evaluation of the characteristic polynomial at 2.

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Seminar - Algebraic Geometry