On some matrix counting problems

Date/heure
6 mars 2025
14:30 - 15:30

Lieu
Salle Döblin

Oratrice ou orateur
Alina Ostafe (UNSW, Sydney)

Catégorie d'évènement
Séminaire de Théorie des Nombres de Nancy-Metz


Résumé

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.