# discrete CATS seminar

Date:

04/26/2021 - 2:00pm

Location:

Zoom

Speaker(s) / Presenter(s):

Anastasia Chavez (UC Davis)

**Title:** Characterizing quotients of positroids

**Abstract:** We characterize quotients of specific families of positroids. Positroids are a special class of representable matroids introduced by Postnikov in the study of the nonnegative part of the Grassmannian. Postnikov defined several combinatorial objects that index positroids. In this talk, we make use of one of these objects called a decorated permutation to combinatorially characterize when certain positroids form quotients. Furthermore, we conjecture a general rule for quotients among arbitrary positroids on the same ground set. This is joint work with Carolina Benedetti and Daniel Tamayo.

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