Dirac cohomology for complex reductive groups

：Dan Barbasch（美国Cornell University）
：2024-07-20 09:00
：海韵园实验楼106报告厅

报告人：Dan Barbasch（美国Cornell University）

时  间：2024年7月20日9:00

地  点：海韵园实验楼106报告厅

内容摘要:

Dirac cohomology is an invariant which generalizes (g, K)-cohomology and captures interesting properties of unitary representations. Some time ago, Pandzic and myself made a precise conjecture that classifies unitary representations with nontrivial Dirac cohomology for complex reductive groups. This talk will review the background and previous work, and in particular report on joint work with Daniel Wong that completes this classification.

个人简介：

Dan Barbasch received his PhD under the supervision of Ranga Rao at the University of Illinois at Urbana Champaign in 1976. He has been a C.L.E. Moore instructor at MIT, a fellow at IAS, held positions at Rutgers and Cornell, and has held many visiting positions around the world.  He was an invited speaker of the International Congress of Mathematicians in 1990. His main research has been in the area of infinite dimensional representations of real and p-adic groups, analytic and algebraic aspects. Among his accomplishments count the classification of unitary representations for complex classical groups and the spherical dual of split real and p-addictive groups. Joint with David Vogan he has initiated the systematic study of unipotent representations, which according to the original conjectures of Arthur form the building blocks of the residual spectrum of locally symmetric spaces.

 

联系人：余世霖