Raman Sanyal, Goethe-Universität Frankfurt.

Description
Title: Standard monomials, matroids, and lattice paths.

Time: 7pm IST, gate opens 6:45pm IST.

Google meet link: meet.google.com/cbv-twjd-vno.

Phone: (US) +1 401-764-4238‬ PIN: ‪316 692 499‬#

Speaker Raman Sanyal, Goethe-Universit├Ąt Frankfurt.

Abstract: Every finite collection of points is the set of solutions to
some system of polynomial equations. This is a (computationally)
reasonable representation, in particular when writing down defining
equations is easier than the actual points. Motivated by Grobner basis
theory for finite point
configurations, I will discuss standard complexes of 0/1-point
configurations. For a matroid basis configuration, the corresponding
standard complex is a subcomplexes of the independence complex, which is
invariant under matroid duality. For the lexicographic term order, the
standard complexes satisfy a deletion-contraction-type recurrence. For
lattice path matroids these complexes can be explicitly described in terms
of lattice path combinatorics. The talk is based on work with Alexander
Engstrom and Christian Stump.
Date
Thu, December 10, 2020
Start Time
7:00pm IST
Priority
5-Medium
Access
Public
Created by
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Updated
Thu, December 10, 2020 7:30am IST