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Friday, March 10, 2023 3:30 pm - 3:30 pm EST (GMT -05:00)

Tutte Colloquium - Peter Nelson

Title: Matroids without cliques

Speaker: Peter Nelson
Affiliation: University of Waterloo
Location: MC 5501 or contact Eva Lee for Zoom link

Abstract: The class of graphs that omit some fixed complete graph as a minor is very well-studied; in particular, the densest graphs in the class are known. The analogous question for matroids is just as well-motivated, but seems harder to answer. I will discuss some recent progress in this area, which reduces a bound from doubly exponential to singly exponential. This is joint work with Sergey Norin and Fernanda Rivera Omana.

Friday, March 17, 2023 3:30 pm - 3:30 pm EDT (GMT -04:00)

Tutte Colloquium - Volker Kaibel

Title: Steiner Cut Dominants

Speaker: Volker Kaibel
Affiliation: Otto von Guericke University Magdeburg
Location: MC 5501 or contact Eva Lee for Zoom link

Abstract: For a subset of terminals T of the nodes of a graph G a cut in G is called a T-Steiner cut if it subdivides T into two non-empty sets. The Steiner cut dominant of G is the Minkowski sum of the convex hull of the incidence vectors of T-Steiner cuts in G and the nonnegative orthant.

Monday, March 20, 2023 3:00 pm - 3:00 pm EDT (GMT -04:00)

A Closure Lemma for tough graphs and Hamiltonian degree conditions - Cléophée Robin

Title : A Closure Lemma for tough graphs and Hamiltonian degree conditions

Speaker: Cléophée Robin
Institution: Wilfrid Laurier University 
Location: MC 5479

Abstract: A graph G is hamiltonian if it exists a cycle in G containing all vertices of G exactly once. A graph G is t-tough if, ,for all subsets of vertices S, the number of connected components in G − S is at most |S| / t.

Thursday, March 23, 2023 1:00 pm - 1:00 pm EDT (GMT -04:00)

Algebraic Combinatorics Seminar - Lucas Gagnon

Title: Quasisymmetric varieties, excedances, and bases for the Temperley--Lieb algebra

Speaker: Lucas Gagnon
Affiliation: York University
Location: MC 6029 please contact Olya Mandelshtam for Zoom link

Abstract:  This talk is about finding a quasisymmetric variety (QSV): a subset of permutations which (i) is a basis for the Temperley--Lieb algebra TL_n(2), and (ii) has a vanishing ideal (as points in n-space) that behaves similarly to the ideal generated by quasisymmetric polynomials.   While this problem is primarily motivated by classical (co-)invariant theory and generalizations thereof, the course of our investigation uncovered a number of remarkable combinatorial properties related to our QSV, and I will survey these as well.