Yevgeny Liokumovich, University of Toronto

Title: (Prix Aisenstadt) New isoperimetric inequalities and their applications to systolic geometry and minimal surfaces.

Abstract: 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.

Colloquium Colloque des sciences mathématiques du Québec
Salle/Room 1355, Pav. André Aisenstadt

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