|SHIMURA VARIETIES AND TRACE FORMULA SEMINAR|
|Topic:||Formal Degrees and Adjoint Gamma Factors|
|Affiliation:||Osaka City University, Japan and Member, School of Mathematics|
|Date:||Friday, December 5|
|Time/Room:||10:30am - 12:00pm/S-101|
Harish-Chandra established the Plancherel formula for reductive groups over local fields, in which formal degrees and Plancherel measures are key ingredients. In this talk, we give a natural extension of Langlands' conjecture, which relates Plancherel measures and local L and epsilon factors, to formal degrees. Using twisted endoscopy, we also prove the conjecture for stable discrete series of U(3) over non-archimedean local fields of characteristic zero. This is joint work with Kaoru Hiraga and Tamotsu Ikeda.