Characterizing quotients of positroids

Anastasia Chavez, University of California, Davis
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Via Zoom

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

We characterize quotients of specific families of positroidsPositroids 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 two of these objects to combinatorially characterize when certain positroids are 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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Topic: UW combinatorics seminar: Anastasia Chavez
Time: Apr 22, 2020 03:30 PM Pacific Time (US and Canada)

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