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Monday, May 31, 2021

Monday, May 31, 2021 — 11:30 to 11:30 AM EDT

Title: An algebraic framework for twualities of embedded graphs

Speaker: Jo Ellis-Monaghan Affiliation: Korteweg-de Vries Instituut voor Wiskunde, Universiteit van Amsterdam Zoom: Contact Soffia Arnadottir

Abstract:

We develop algebraic tools to identify and generate new surface embeddings of graphs with various forms of self-twuality including geometric duality, Petrie duality, Wilson duality, and both forms of triality (which is like duality, but of order three instead of two).  These operations are of particular interest because of their interplay with graph symmetries and graph polynomials.

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