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Oberseminar Differentialgeometrie: Ursula Ludwig (Duisburg-Essen), Vortrag: Witten deformation and Cheeger-Müller theorem for singular spaces with conical singularities

Monday, 10.05.2021 16:15 per ZOOM: Link to Zoom info

Mathematik und Informatik

The Witten deformation on a smooth compact manifold is an analytic proof of the Morse inequalities, which has been proposed by Witten in the 80s and is inspired from ideas in quantum field theory. The Witten deformation is one of the main actors in the extension by Bismut and Zhang of the comparison between analytic and topological torsion of a smooth compact manifold, aka the Cheeger-Müller theorem. The aim of this talk is to explain how to extend the Witten deformation to singular spaces with conical singularities and radial Morse functions, and how this can be used to achieve a Cheeger-Müller theorem for these spaces.



Angelegt am Tuesday, 30.03.2021 11:19 von shupp_01
Geändert am Tuesday, 27.04.2021 09:38 von shupp_01
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