Rogers-Ramanujan type identities and arc spaces [AG&Phys Seminar/ on Zoom]

Speaker:

Hussein Mourtada

Affiliation:

Institut Mathematique de Jussieu

Date:

Tue, 05/07/2022 - 13:45 - 15:30

Parent event:

Seminar on Algebra, Geometry and Physics/joint with HU Berlin [2]

Online talk only.

https://hu-berlin.zoom.us/j/61686623112 [3]

Contact: Gaetan Borot (HU Berlin, gaetan.borot@hu-berlin.de)

In this talk, I will show a link between an invariant of singularities (involving arc spaces) and Rogers-Ramanujan identities. These latter are identities concerning the theory of integer partitions which have a long history in classical number theory; an integer partition of an integer n being simply a decreasing sequence of positive integers whose sum is equal to n. I will then explain how this link allows to find and prove new families of partition identities.

The talk is directed at a broad public. It concerns various works with C. Brucheck and J. Schepers, with P. Afsharijoo and with P. Afsharijoo, J. Dousse and Frédéric Jouhet.