The spectral localizer: a new tool for index theory

Abstract.  In a paper which invented the notion of index of a Fredholm operator, Fritz Noether also proved the first index theorem. This theme connecting topological to analytical index was central to the mathematics of the 20th century (Atiyah, Singer, Connes, etc.). Modern index pairings resulting from pairings of K-groups with Fredholm modules are intrinsically objects of infinite dimensional analysis, but with the spectral localizer a new player has appeared on the scene and opens the floor for numerical K-theory. (Joint work with Terry Loring)

About the speaker.  Hermann Schulz-Baldes is a professor at the Department of Mathematics of the Friedrich-Alexander-University of Erlangen-Nuernberg.  He received his Ph.D. from the University Paul-Sabatier in Toulouse as a student ofJean Bellissard.  His research focuses include the theory of topological insulators, index theory, products of random matrices, and quantum–mechanical scattering theory.

There will be coffee tea and cookies in the lounge, 2:30 to 3:30.