Algebraic and Enumerative combinatorics seminar - Sergio Alejandro Fernandez de Soto Guerrero-New combinatorial possibilities to describe (quotients of) positroids

AbstractPositroids were introduced by Postnikov in 2006 as a special class of matroids with nice combinatorial properties. Since 2008, starting with Suho Ho, several attempts have been made to describe the poset of quotients for this class of matroids in a combinatorial way. However, these descriptions are incomplete and always come from the same perspective. That is why we will explore new combinatorial objects and the context in which they arise (magic, polytopes, and antisymmetric algebras) to see if it is possible to describe this poset.

There will be a pre-seminar presenting relevant background at beginning graduate level starting at 1:30pm in MC 5417.