Доклад профессора Denis-а Perrot-а, Institut Camille Jordan, Université Lyon 1.

Во вторник, 23 июня, в 15:30 (аудитория будет объявлена перед докладом, встречаемся у 16-19, кафедры дифференциальной геометрии и приложений), состоится доклад профессора Denis-а Perrot-а, Institut Camille Jordan, Université Lyon 1. 

Title: "Noncommutative residues and higher indices"

Abstract: The action of a Lie groupoid on a smooth manifold naturally leads to an algebra of generalized Fourier integral operators. In this talk, we will define and compute the "higher indices" associated to elliptic operators of this type, obtained by pairing the K-theoretic index with cyclic cohomology. In particular we will present a generalisation of the Wodzicki residue which allows to provide explicit formulas for these higher indices.