Friday, March 13, 2020 — 3:30 PM EDT

Title: Widths in even-hole-free graphs

Speaker: Nicolas Trotignon
Affiliation: École Normale Supérieure de Lyon
Room: MC 5501

Abstract:

Historically, the study of even-hole-free graphs is motivated by the analogy with perfect graphs. The decomposition theorems that are known for even-hole-free graphs are seemingly more powerful than the ones for perfect graphs: the basic classes and the decompositions are more restricted.

Friday, March 13, 2020 — 1:00 PM EDT

Title:

Speaker: Harry Sivasubramaniam
Affiliation: University of Waterloo
Room: MC 5417

Abstract:

Differential privacy is about preserving an individuals privacy while maintaining utility in the context of data analysis.

Thursday, March 12, 2020 — 4:00 PM EDT

Title: Improving the general upper bound for Hadwiger's conjecture

Speaker: Luke Postle
Affiliation: University of Waterloo
Room: MC 5479

Abstract:

In 1943, Hadwiger conjectured that every K_t-minor-free graph has chromatic number at most t-1.

Thursday, March 12, 2020 — 2:30 PM EDT

Title: Proof of the monotone column permanent conjecture

Speaker: David Wagner
Affiliation: University of Waterloo
Room: MC 5417

Abstract: 

In 1993, Jim Haglund conjectured the following.  If  A  is a  square matrix of real numbers which are weakly decreasing down each column, and J is the all-ones matrix of the same size, then the permanent of the matrix xJ+A is a polynomial with only real roots.

Tuesday, March 10, 2020 — 8:42 AM EDT

Title: Rectangular Catalan Algebraic Combinatorics

Speaker François Bergeron
Affiliation LACIM - Université du Québec à Montréal
Room MC 5501

Abstract:

The enumeration of Dyck-like lattice paths in a m x n rectangle has a long and fruitful history culminating in Bizley-Grossman’s formula (1954). We will discuss how it is natural to extend this formula to weighted enumeration, with parameters accounting for such statistics as area; and to consider parking-function analogs.

Friday, March 6, 2020 — 3:30 PM EST

Title: Binary Submatroids

Speaker: Peter Nelson
Affiliation: University of Waterloo
Room: MC 5501

Abstract:

A binary matroid can be thought of as a set of nonzero binary vectors.

Friday, March 6, 2020 — 1:00 PM EST

Title: Recognizing slack matrices

Speaker: Matt Gerstbrein
Affiliation: University of Waterloo
Room: MC 5417

Abstract:

This week, we will be discussing the topic of slack matrices. Slack matrices arise in the context of lifts of polytopes, where, given a polytope P, we can characterize the existence of a lift of P of a given size in terms of properties of an associated slack matrix.

Thursday, March 5, 2020 — 2:30 PM EST

Title: Combinatorial Hall algebras

Speaker: Matt Szczesny
Affiliation: Boston University
Room: MC 5417

Abstract:

The Hall algebra of a finitary category is an associative (and sometimes Hopf) algebra whose structure constants count the number of extensions between objects.

Thursday, March 5, 2020 — 1:00 PM EST

Title: Strongly cospectral vertices in cubelike graphs

Speaker: Soffia Arnadottir
Affiliation: University of Waterloo
Room: MC 5417

Abstract:

A cubelike graph is a Cayley graph of the elementary abelian 2-group. Two vertices in a graph are strongly copsectral if they are cospectral and parallel.

Wednesday, March 4, 2020 — 2:00 PM EST

Title: Vertex-minors and sparsity

Speaker: Rose McCarty
Affiliation: University of Waterloo
Room: MC 5479

Abstract:

We discuss an ongoing project with Jim Geelen and Paul Wollan to describe the structure of graph classes excluding a vertex-minor.

Tuesday, March 3, 2020 — 1:15 PM EST

Title: Introduction to Monotone Operators

Speaker: Naomi Graham
Affiliation: University of Waterloo
Room: MC 5501

Abstract: 

This talk will be an entry level introduction to the theory of monotone operators as they are presented in Bauschke and Combette’s Convex Analysis and Monotone Operator Theory in Hilbert Spaces.

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