SFU Number Theory and Algebraic Geometry Seminar: Alexandru Constantinescu
- Date: 03/31/2023
- Time: 15:30
Lecturer(s):
Alexandru Constantinescu, Freie Universität Berlin
Location:
Simon Fraser University
Topic:
Cotangent Cohomology for Matroids
Description:
The first cotangent cohomology module $T^1$ describes the first order deformations of a commutative ring. For Stanley-Reisner rings, this module has a purely combinatorial description: its multigraded components are given as the relative cohomology of some topological spaces associated to the defining simplicial complex. When the Stanley-Reisner ring is associated to a matroid, I will present a very explicit formula for the dimensions of these components. Furthermore, I will show that $T^1$ provides a new complete characterization for matroids.
Other Information:
Time: 3.30pm Pacific