Lefschetz fixed point theorem and beyond

par Prof. Hang WANG (University of Adelaide & IHÉS)

mardi 4 févr. 2014, 15:30 → 16:00 Europe/Paris

Amphitéâtre Léon Motchane (IHES)

We start by the example of the classical Lefschetz fixed point theorem for an isometry of a compact manifold. The Lefschetz number is a localized index as a result of the pairing on the level of K-theory. The localized indices can be used to produce topological invariants of the manifold such as the Lefschetz numbers.