On some matrix counting problems

par Prof. Alina Ostafe (UNSW (Sydney))

mardi 18 févr. 2025, 10:45 → 11:45 Europe/Paris

Salle Fokko du Cloux (ICJ, Université Lyon 1)

We consider some questions of arithmetic statistics for matrices of a given rank or fixed determinant or characteristic polynomial, whose entries are parametrised by arbitrary polynomials over the integers. In particular, some of our results improve a recent bound of V. Blomer and J. Li (2022) for counting matrices of given rank that are parametrised by monomials.

Joint works with Philipp Habegger, Ali Mohammadi and Igor Shparlinski.