The Langlands program for Classical Groups

Abstract

A major achievement in the Langlands program is Arthur's 2013 book on the endoscopic classification of square-integrable automorphic forms of (quasi-split) classical groups. In the first lecture, I will summarize the main results of this book and some key ingredients of their proofs. In particular, some of the ingredients were at that point in time anticipated but not yet fully written down. Several of these ingredients have subsequently been addressed. In the second lecture, I will discuss a recent work with Hiraku Atobe, Atsushi Ichino, Tasho Kaletha, Alberto Minguez, and Sug Woo Shin in which we supply most of the remaining ingredients.

About the Speaker

Wee Teck Gan is the Tan Chin Tuan Centennial Professor at the National University of Singapore. He obtained his PhD from Harvard University under the supervision of Benedict Gross and has been a postdoc at Princeton University and a faculty member at University of California, San Diego. He was an invited speaker at ICM2014 and a winner of the President's Science Award (Singapore) in 2017.

Prof Gan is known for his work on automorphic forms and representation theory in the context of the Langlands program, especially the theory of theta correspondence, the Gan–Gross–Prasad conjecture, and the Langlands program for Brylinski–Deligne covering groups.

Tues., 14:00-15:00, Feb. 25, 2025

Thur., 16:30-17:30, Feb. 27, 2025

Tues.: Room LG1-12, Jian Hua Building

Thur.: Room A109, Jian Hua Building

建华/经管新楼

Online Zoom Meeting: 276 366 7254

Passcode: YMSC