Talk by Abril Arenas

Matrix Integrals and Enumerative Combinatorics by Abril Arenas

Talk 10.04
I am happy to announce that the brilliant Abril Arenas will be giving a talk titled Matrix Integrals and Enumerative Combinatorics this Friday at 2-3pm in CMC120. Please read the abstract below.

Abstract 
Planar graphs are graphs that can be drawn on a plane such that their edges have no overlaps. In the early 60's Tutte wrote a "Census on Planar Maps" which seeks to enumerate planar graphs with special properties. Independently, physicists like t'Hooft recognized that certain colored graphs from QCD correspond to certain matrix integrals. From the 80's-90's special cases of these matrix integrals were computed by making "topological expansions". This expansion then provides a correspondence between matrix integrals and a generating function for planar graphs with prescribed valency.

The purpose of these talks is to explore this amusing interaction between matrix integrals and enumerative combinatorics. Since the target audience are undergraduate students, we review some fundamental facts about graphs and iterated integration before building up to matrix integrals.

Game Hangout
If you are free from 12-2pm, join the officers and I for some games and socializing.

Thank you, Abril, for making this Friday's meeting special and contributing to the Math Club. I can't wait to hear your talk. Thank you, beloved member, for your support of our club.

Sincerely,
Alejandra Paris