Quebec Mathematical Sciences Colloquium

October 14, 2022 from 15:30 to 16:30 (Montreal/EST time)

(2022 André Aisenstadt Prize) New isoperimetric inequalities and their applications to systolic geometry and minimal surfaces

Colloquium presented by Yevgeny Liokumovich (University of Toronto, Canada)

I will describe two new isoperimetric inequalities for k-dimensional submanifolds of R^n or a Banach space. As a consequence of one we obtain a new systolic inequality that was conjectured by Larry Guth. As a consequence of another, we obtain an asymptotic formula for volumes of minimal submanifolds that was conjectured by Mikhail Gromov. The talk is based on joint works with Boris Lishak, Alexander Nabutovsky and Regina Rotman; Fernando Marques and Andre Neves; Larry Guth.

Address

HYBRID | ON-SITE : Pavillon André Aisenstadt Room 1355, 2920, chemin de la tour, Montréal (Québec)