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Colloquium - Emily Peters

Emily Peters
September 20, 2018
4:15PM - 5:15PM
Cockins Hall 240

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Add to Calendar 2018-09-20 16:15:00 2018-09-20 17:15:00 Colloquium - Emily Peters Title: Planar algebras and proof by pictures Speaker: Emily Peters (Loyola University of Chicago) Abstract: Planar algebras are a formalization of “proof by pictures” techniques that are used in the study of knots, subfactors, and tensor categories, among other places. When one tries to directly construct a planar algebra, by generators and relations, one quickly runs into the standard problems, like: how do I decide if what I have is just a dressed-up version of the trivial planar algebra? Sometimes, one can answer this type of question by giving an "evaluation algorithm" based on the relations available. In this talk, I will define planar algebras and give some of my favorite examples of planar algebras with cool evaluation algorithms. No background beyond linear algebra will be assumed. If time permits, I will touch on recent results on the extended Haagerup planar algebras, which is joint work with Grossman, Morrison, Penneys and Snyder. Colloquium URL: https://web.math.osu.edu/colloquium/ Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Planar algebras and proof by pictures

SpeakerEmily Peters (Loyola University of Chicago)

Abstract: Planar algebras are a formalization of “proof by pictures” techniques that are used in the study of knots, subfactors, and tensor categories, among other places. When one tries to directly construct a planar algebra, by generators and relations, one quickly runs into the standard problems, like: how do I decide if what I have is just a dressed-up version of the trivial planar algebra? Sometimes, one can answer this type of question by giving an "evaluation algorithm" based on the relations available. In this talk, I will define planar algebras and give some of my favorite examples of planar algebras with cool evaluation algorithms. No background beyond linear algebra will be assumed. If time permits, I will touch on recent results on the extended Haagerup planar algebras, which is joint work with Grossman, Morrison, Penneys and Snyder.

Colloquium URL: https://web.math.osu.edu/colloquium/

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