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Algebra & Combinatorics Seminar

Title: A combinatorial model for totally nonnegative partial flag varieties
Speaker: Maitreyee Kulkarni (Universit├Ąt Bonn, Germany)
Date: 25 March 2022
Time: 2:30 pm
Venue: LH-1, Mathematics Department

Postnikov defined the totally nonnegative Grassmannian as the part of the Grassmannian where all Pl├╝cker coordinates are nonnegative. This space can be described by the combinatorics of planar bipartite graphs in a disk, by affine Bruhat order, and by a host of other combinatorial objects. In this talk, I will recall some of this story, then talk about in progress joint work, together with Chris Fraser and Jacob Matherne, which hopes to extend this combinatorial description to more general partial flag varieties.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024