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### Characterizing quotients of positroids

**Algebra & Discrete Mathematics**

Speaker: | Anastasia Chavez, UC Davis |

Related Webpage: | https://www.math.ucdavis.edu/people/general-profile?fac_id=anachavez |

Location: | 1147 MSB |

Start time: | Mon, Oct 28 2019, 2:10PM |

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 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.

Please note the unusual time for the seminar this week!