Arc spaces and partition identities
We will show a link between the arc space (which is an algebro-geomtric object) and the identities of partitions of integer numbers: a partition of a positive integer number is simply a way of writing it as a sum of positive integer numbers. Integer partitions have a long and beautiful history in number theory. The link that we will describe, gives a new point of view on known results and gives new identities. Part of a what I  will tell is joint work with Pooneh Afsharijoo on one hand and with Clemens Bruschek and Jan Schepers on the other hand.