Group, Lie and Number Theory Seminar

I will talk about my recent joint work with A.-M. Aubert (with special contribution by C.-C. Tsai) on the explicit Local Langlands Correspondence for G_2. This uses our earlier results on Hecke algebras attached to Bernstein components of reductive p-adic groups, as well as an expected property on cuspidal support due to AMS, along with a list of characterizing properties. In particular, we obtain "mixed" L-packets containing F-singular supercuspidals and non-supercuspidals. Speaker(s): Yujie Xu (MIT)