SFU Number Theory and Algebraic Geometry Seminar: Alexandru Constantinescu

  • Date: 03/31/2023
  • Time: 15:30
Alexandru Constantinescu, Freie Universität Berlin

Simon Fraser University


Cotangent Cohomology for Matroids


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