100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Siarhei Finski

Gauss-Bonnet theorem with a look towards local index theory
Jeudi, 24 Septembre, 2020 - 15:30 à 16:30
Résumé : 

Gauss-Bonnet theorem states that the mean curvature of a real surface is related to its Euler characteristic. This theorem, hence, relates the geometry of the surface to its topology. By using Hodge theory, the theorem can be rephrased as a calculation of the index of a certain differential operator, which interprets the Gauss-Bonnet theorem as an instance of an index theorem. In this talk, I will explain the above interpretation and show some consequences of that point of view.

Thème de recherche : 
Salle : 
Amphi Chabauty
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