MATH 592 Harmonic analysis on p-adic Lie algebras, Winter 2014, Term 2

Reading seminar on harmonic analysis on p-adic Lie algebras (Math 592, Term II 2014/2015)

Math 592 is organized by Lior Silberman, Bill Casselman and myself.

We will closely follow the lecture notes by R. Kottwitz in 2004 Clay lecture notes volume .

Tuesdays 3:34-5:15pm in Math 126. However, there will be many scheduling changes, please check this page often.

It's moving to Fridays for the rest of the term (and not every week) -- please watch the schedule and announcements! After March 10, the seminar will meet on Fridays March 13, March 27, and April 27 only!

January 8: Organization meeting and introduction: local Trace formula for compact groups (J. Gordon). In Math 126, 3:30pm.
January 13: The tree and unipotent orbital integrals for GL(2). (Radhika)
Useful reference for this and next talk: Notes by W. Casselman on the tree for SL(2).
Here is a summary of this computation that only uses double cosets and not the tree.
January 20: Semisimple orbital integrals in GL(2) (Laura).
January 27: Weyl integration formula (Athena).
February 3 and February 10: no meeting.
February 17: Preliminary discussion of the local Trace formula for the Lie algebra (Ed).
February 24: Preliminary discussion of the Local Trace Formula for the Lie algebra -- computing the weight function. Statement of the local TF for GL(2) (Ed and Julia). (This was Sections 9 -- 10.2).
March 3: a glimpse of Arthur's Trace Formula in the case of GL(2) (Justin).
March 10: From nice-ness of orbital integrals to nice-ness of their Fourier transform, via local Trace formula. (Julia) (This is based on Sections 10.3-10.4 and 25, 26).
Friday March 13 (note the date!) 12pm, in Math 126: Continuation from March 10.
Friday March 27 (note the date!) 12pm, in Math 126: Shalika germs: definition and main properties (Athena).
Friday April 10 (note the date!) 12pm, in Math 126: Finishing the proof of nice-ness of orbital integrals (Laura?)