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Please note: The University of Waterloo is closed for all events until further notice.

Events by date

Monday, September 14, 2020

Monday, September 14, 2020 — 11:30 to 11:30 AM EDT

Title: Extensions of the Erdős-Ko-Rado theorem to 2-intersecting perfect matchings and 2-intersecting permutations

Speakers: Andriaherimanana Sarobidy Razafimahatratra & Mahsa Nasrollahi Shirazi Affiliation: University of Regina Zoom: Contact Soffia Arnadottir

Abstract:

The Erdős-Ko-Rado (EKR) theorem is a classical result in extremal combinatorics. It states that if n and k are such that $n\geq 2k$, then any intersecting family F of k-subsets of [n] = {1,2,...,n} has size at most $\binom{n-1}{k-1}$. Moreover, if n>2k, then equality holds if and only if F is a canonical intersecting family; that is, $\bigcap_{A\in F}A = \{i\}$, for some i in [n].

Monday, September 14, 2020 — 3:00 PM EDT

Title: Foundations of Matroids without Large Uniform Minors, Part 2

Speaker: Oliver Lorscheid Affiliation: Instituto Nacional de Matemática Pura e Aplicada Zoom: Contact Rose McCarty

Abstract:

In this talk, we take a look under the hood of last week’s talk by Matt Baker: we inspect the foundation of a matroid.

The first desired properties follow readily from its definition: the foundation represents the rescaling classes of the matroid and shows a functorial behaviour with respect to minors and dualization.

Monday, September 14, 2020 — 4:00 PM EDT

The profound impact of early discovery, experimentation, and disruption through research and invention

Researchers today build on the knowledge and discoveries made by those who have come before them. How can today’s researchers light the early pathways and curiosities for the research breakthroughs of the future? How can we demonstrate the impact and potential of the yet-to-be known? And, what if any, role does academia, industry, the Faculty of Mathematics, and Canada play in increasing the discovery journey to these new frontiers?

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