Torsion and refined torsion on singular spaces

par Ursula Ludwig (Munster)

jeudi 14 mars 2024, 14:00 → 16:00 Europe/Paris

The comparison between analytic and topological torsion of a smooth compact manifold equipped with a unitary flat vector bundle, aka Cheeger-Müller theorem, is one of the most important comparison theorems in global analysis. Refined versions of both analytic and topological torsion on a smooth compact manifold have been amply studied as well.
The aim of this talk is to present extensions of the Cheeger-Müller theorem for torsion as well as for refined torsion on singular spaces with conical singularities.