Colloque des sciences mathématiques du Québec

14 octobre 2022 de 15 h 30 à 16 h 30 (heure de Montréal/HNE)

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

Colloque par Yevgeny Liokumovich (Université de 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.


HYBRIDE | SUR PLACE : Pavillon André Aisenstadt Salle 1355, 2920, chemin de la tour, Montréal (Québec)