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Xiang Tang: An index theorem on the tempered dual of a real reductive Lie group

Tid: On 2021-01-27 kl 15.15

Föreläsare: Xiang Tang, Washington University in St. Louis

Plats: Zoom, meeting ID: 685 0671 8075

Abstract

Let \(G\) be a (real reductive) Lie group. The tempered dual of \(G\) is the space of isomorphism classes of irreducible unitary \(G\)-representations that are contained in the (left) regular representation of \(G\) on \(L^2(G)\). In this talk, we will report our study on the geometry of the tempered dual. As an application, we will present an index theorem for proper cocompact \(G\)-actions. This talk is based on the joint works with Peter Hochs, Markus Pflaum, Hessel Posthuma, and Yanli Song.

Note: The passcode was sent to the AG and NT mailing lists. If you're not on these lists and would like to attend, or are having trouble accessing the meeting, please email Wushi Goldring at wgoldring@math.su.se or one of the other seminar organizers.

Innehållsansvarig:webmaster@math.kth.se
Tillhör: Institutionen för matematik
Senast ändrad: 2021-01-20