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Algebraic Combinatorics Seminar - Karen YeatsExport this event to calendar

Thursday, May 16, 2019 — 3:30 PM EDT

Title: Partial progress on enumerating K5 descendants

Speaker: Karen Yeats
Affiliation: University of Waterloo
Room: MC 5417

Abstract:

We call a particular operation on a graph which converts one triangle into two triangles a double triangle expansion, and call all those graphs which can be obtained from repeated double triangle expansions of a fixed graph the double triangle descendants of the graph. The class of double triangle descendants of the graph K5 seem to be a very important class of graphs for quantum field theory. Notably a conjecture of Brown and Schnetz says they are special since they appear to be precisely those graphs where a particular arithmetic invariant, the c2 invariant, is -1 for all primes. Consequently it is interesting to enumerate double triangle descendants of K5. I will describe some partial results in this directions.

This is joint work with Marni Mishna and Mohamed Laradji.

Location 
MC - Mathematics & Computer Building
5417
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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