Reading of Representation Theory over Local and Global Fields

Bernstein–Zelevinsky 1976 survey on local theory of GL(n)

Main Reference: [BZ76] I. N. Bernstein and A. V. Zelevinsky,
Representation theory of GL(n, F), where F is a non-Archimedean local field,
Russian Mathematical Surveys, 31 (1976), no. 3, 1–68.

Meeting time: Mondays 10:00 AM

Time Contents Speaker Remarks
Oct.22Distributions on l-spaces, l-groupsYuichiP1-13
Oct.29Representations of l-groupsJimmyP10-16
Nov.05l-sheavesYuzhengP10
Nov.12Representations of l-groups, Modules, πN, Schur’s LemmaKewenP19
Nov.19The Contragradient representation, tensor product of repsYuichiP20
Nov.26Character, induced rep, Frobenius Reciprocity, Jacquet FunctorAlanP24
Dec.03Finite (compact) representationsKewenP28
Jan.21Induced and quasi-cuspidal representationsKewenTill 3.11
Jan.28Partitions, general theoryKewenSection 3
Feb.11Functors, Jacquet's theoremKewenSection 3
Feb.17Cuspidal representationsJimmySection 4
Mar.24The Gelfand-Kazhdan theoryAlanChapter 3
Apr.07Proofs of Section 5KewenChapter 3