CERAMATHS - DMATHS seminar: presentation by Ilias Ftouhi

The CERAMATHS mathematics department seminar will welcome Ilias Ftouhi (FAU Erlangen-Nuremberg, Germany) at 2pm on Friday, July 5, 2024, for the following talk:

Around Cheeger's inequality

In this talk, we prove new optimal inequalities relating the Cheeger constant of plane convexes to simple geometric functionals. These estimates are then used to study the relations between the Cheeger constant and the first eigenvalue of the Laplace operator with Dirichlet condition at the edge. This problem is closely related to the study of the classical Cheeger inequality, for which we provide an improvement in the class of plane convexes. The talk is based on collaborative work with Alba Lia Masiello and Gloria Paoli (University Federico II, Naples).