The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


ICMS Seminar

October 10, 2023, 14:00 EET, Sofia (GMT+2)

ICMS-Sofia, Room 403

Stéphanie Cupit-Foutou

Ruhr Universitat, Bohum

About a generalisation of Sylvester’s law of inertia

Sylvester’s law of inertia can be formulated in terms of group actions when considering real linear groups acting on real quadratic forms by base change. After reviewing this celebrated result from this perspective, I will give a generalisation of it in the setting of so-called spherical varieties (a class of complex varieties including flag varieties, toric varieties, symmetric spaces, etc.). This is a joint work with D. Timashev
Stéphanie Cupit-Foutou is a professor at the Ruhr University of Bochum. She obtained her doctorate at the University of Strassbourg I in 2000, supervised by Peter Littlemann, with a thesis on the classification of two-orbit varieties. She works in algebraic and complex analytic geometry, Lie theory, and the theory of spherical varieties.