Università degli Studi di Padova

“Partitions, motives and Hilbert schemes”

Martedì 18 Novembre 2025, ore 14:30 13:15 - Aula 2AB45 1BC45 - Sergej Monavari (Università degli Studi di Padova)

Abstract

Counting the number of higher dimensional partitions is a hard classical problem. Computing the motive of the Hilbert schemes of points is even harder. I will discuss some structural formulas for the generating series of both problems, their stabilisation properties when the dimension grows very large and how to apply all of this to obtain (infinite) new examples of motives of singular Hilbert schemes.

This is joint work with M. Graffeo, R. Moschetti and A. Ricolfi.