Shelstad's Character Identity from the Point of View of Index Theory
Hang Wang 王航  (ECNU)
10:00-11:00, Dec 26, 2017   Science Building A1510
Abstract:
About the speaker:
Shelstad’s character identity is an equality between sums of characters
of tempered representations in corresponding L-packets of two
real, semisimple, linear, algebraic groups that are inner forms to each
other. We reconstruct this character identity in the case of the discrete
series, using index theory of elliptic operators in the framework
of K-theory. Our geometric proof of the character identity is evidence
that index theory can play a role in the classification of group representations via the Langlands program.
Attachments: