时间 Time： 每周三、周四 9:50-11:25 2020-9-14 ~ 12-4
地点 Venue：宁斋 W11会议室
We shall first discuss some backgrounds on the global
and local representation theories and tools for higher rank reductive groups,
at least for GL(3). Topics will include, but no limited, to Whittaker/Kirillov
model, pre-trace formula, Kuznetsov trace formula, compact induction/parabolic
induction, newform theory, Rankin-Selberg theory, etc. Then we shall try to see
if these tools can help us to generalize some recent works on sup norm problem
and subconvexity bound for L-functions on GL(2) to more general groups.
representations of GL(2). Some interest in analytic number theory.
1. I. N. Bernstein and A. V. Zelevinsky.
Induced representations of reductive p-adic groups.
2. C.Bushnell and
P.C.Kutzko. The admissible dual of GL(N) via compact open subgroups.
3. N.Matringe. Essential
Whittaker Functions for GL(n).