Growth of quadratic forms under Anosov subgroups

Leon Carvajales (Université de Paris-Sorbonne Université)

06-Apr-2021, 13:30-14:30 (3 years ago)

Abstract: For positive integers p and q we define a counting problem in the (pseudo-Riemannian symmetric) space of quadratic forms of signature (p,q) on R^{p+q}. This is done by associating to each quadratic form a geodesic copy of the Riemannian symmetric space of PSO(p,q) inside the Riemannian symmetric space of PSL_{p+q}(R), and by looking at the orbit of this geodesic copy under the action of a discrete subgroup of PSL_{p+q}(R). We then present some contributions to the study of this counting problem for Borel-Anosov subgroups of PSL_{p+q}(R).

differential geometry

Audience: researchers in the topic


Pangolin seminar

Series comments: TIME HAS CHANGED: 15:30 Paris 10:30AM Rio de Janeiro

Description: Differential geometry seminar

Zoom link posted on the webpage 15 minutes before each lecture: https://sites.google.com/view/pangolin-seminar/home

Organizers: Sébastien Alvarez, François Fillastre*, Andrea Seppi, Graham Smith
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