Combinatorics Seminar

I will discuss a class of combinatorially defined polynomial ideals which are generated by minors of a generic symmetric matrix. Each ideal in the class is a type C analog of a Kazhdan-Lusztig ideal of A. Woo and A. Yong; that is, it is the defining ideal of the intersection of a type C Schubert variety with a type C opposite Schubert cell, appropriately coordinatized.

The first part of the talk will focus on motivation and connections to both the Schubert variety literature and the commutative algebra literature. Then I will discuss Gröbner bases and related combinatorics of the above-mentioned class of ideals.

This is joint work with Laura Escobar, Alex Fink, and Alexander Woo.
Speaker(s): Jenna Rajchgot (McMaster University)