8–12 sept. 2025
Le Bois-Marie
Fuseau horaire Europe/Paris

Determinant Values on Irrational Lattices

10 sept. 2025, 09:30
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Hee Oh (Yale Univ.)

Description

We study the value-distribution problem of det on an irrational lattice $L < M_n(\mathbb R)$: how are the values of det on L distributed on $\mathbb R$? In a recent joint work in progress with Wooyeon Kim, we obtain quantitative results toward this question; for n=2, this amounts to a quantitative version of the Oppenheim conjecture for quadratic forms of signature (2,2), as studied by Eskin-Margulis-Mozes (2005).

Documents de présentation