These lectures given in Montreal in Summer are mainly based on, and form a condensed survey of, the book by N. Chriss and V. Ginzburg: `Representation Theory and Complex Geometry', Birkhauser Various algebras arising naturally in Representation Theory such as the group algebra of a Weyl group, the universal enveloping algebra of a complex semisimple Lie algebra, a Quantum group . Browse other questions tagged aic-geometry entation-theory fundamental-group p-adic or ask your own question. Featured on Meta Question closed notifications experiment results and . Books. Nonarchimedean Functional Analysis. Springer Science & Business Media. 20 November ISBN p-adic Lie groups, Grundlehren der mathematischen Wissenschaften, Springer Verlag, ; Modular Representation Theory of Finite Groups. Springer Science & Business Media. 27 November ISBN The representation theory and harmonic analysis on locally compact groups, particularly the groups of rational points of real and p-adic reductive groups. One would like to know how to construct such representations, how to compute their character function, and how .

Andreas Höring and Thomas Peternell – Bimeromorphic geometry of Kähler threefolds Sándor J. Kovács – Moduli of stable log-varieties—an update Andrei Okounkov – Enumerative geometry and geometric representation theory. BibTeX @INPROCEEDINGS{Miličić_equivariantderived, author = {Dragan Miličić and Pavle P}, title = {Equivariant derived categories, Zuckerman functors and localization, Geometry and representation theory of real and p-adic Lie groups}, booktitle = {Progress in Mathematics}, year = {}, pages = { . Publisher Summary. This chapter presents the dimension formula for Siegel modular forms. For general group Γ and representation μ, two main approaches are first is a geometric one that uses Riemann–Roch–Hirzebruch's formula and the holomorphic Lefschetz fixed points formula, when Γ has fixed points. The second is a group-theoretical one that uses Selberg's trace formula. geometry and analysis no 1 volume 17 of the advanced lectures in mathematics series Posted By Catherine Cookson Media TEXT ID e Online PDF Ebook Epub Library advanced study in this book provides an introduction to the theory of harmonic analysis on reductive p adic groups originally published in the lectures on.

Symmetry groups come in many different flavors: finite groups, Lie groups, p-adic groups, loop groups, adelic groups,.. A striking feature of representation theory is the persistence of fundamental structures and unifying themes throughout this great diversity of settings. This is the central result which implies that the same salient features permeate both representation theory of p-adic groups and (categorical) representation theory of loop groups. The goal of this book is to present a systematic and self-contained introduction to the local geometric Langlands Correspondence for loop groups and the related. For continuous homomorphisms, these things are well-known, going between additive and multiplicative structures being failrly straightforward using exp or log on the p-adic or real side. Abstract: This course will focus on recent developments in the spectral theory of automorphic forms on GL(n,R) with n > 2. I will begin by reviewing the basic theory of automorphic forms and L-functions on the upper half plane H^n. A reference is my book: Automorphic forms and L-functions for the group GL(n,R), Cambridge University Press (