The index theorem for manifolds with cusps

Abstract: I will speak on the result obtained with W. Ballmann and J. Brüning about index theorem on manifold with cusps :

-Eigenvalues and holonomy. Int. Math. Res. Not. 2003, no. 12, 657–665.

-Regularity and index theory for Dirac-Schrödinger systems with Lipschitz coefficients.

J. Math. Pures Appl. (9) 89 (2008), no. 5, 429–476.

-Index theorems on manifolds with straight ends. Compos. Math. 148 (2012), no. 6, 1897–1968.

I will start with a review of the case of compact manifolds and manifolds with cylindrical ends (i.e. the work of Atiyah-Patodi-Singer) and then describe the main technical difficulties we had to face.

differential geometry

Audience: researchers in the topic

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Pangolin seminar

Series comments: TIME HAS CHANGED: 15:30 Paris 10:30AM Rio de Janeiro

Description: Differential geometry seminar

Zoom link posted on the webpage 15 minutes before each lecture: https://sites.google.com/view/pangolin-seminar/home

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