Barcodes of Persistent Intersection Cohomology and Arrhenius Law for Spaces with Isolated Conical Singularities

par Robert Franz (Université de Münster)

mardi 18 nov. 2025, 11:00 → 13:00 Europe/Paris

Salle de conference (LJAD)

In his analytical proof of the Morse inequalities, Witten showed that the critical points of a Morse potential on a smooth manifold are in one-to-one correspondence with the exponentially small eigenvalues of a deformed Laplace operator, the so-called Witten Laplacian. Under weak assumptions on the potential, recent work by Le Peutrec, Nier and Viterbo has shown that the precise decay rates of these exponentially small eigenvalues are determined by the lifetimes of features in persistent cohomology. In this talk, I will report on work in progress that aims to generalize their result to singular spaces. 
This is part of a PhD project  supervised by Ursula Ludwig.