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Harmonic analysis, the trace formula and Shimura varieties; proceedings.


Harmonic analysis, the trace formula and Shimura varieties; proceedings.

Clay Mathematics Institute Summer School (2003: Toronto, Canada) Ed. by James Arthur et al.

Amer. Mathematical Society


689 pages



Clay mathematics proceedings; v.4


In these proceedings from the school held in June 2003, the presenters give introductions to the subject of automorphic forms that have come to be called the Langlands program. Although the reciprocity laws proposed by Langlands are still largely unproved, the program ties arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representation. The presenters' topics include an introduction to the trace formula and Shimura varieties (including those with bad reductions of parahoric type), linear algebraic groups, harmonic analysis on reductive p-adic groups and Lie algebras, homogeneity for reductive p-adic groups, compactifications and cohomology of modular varieties, the fundamental lemma, and the generalized Ramanujan conjectures.

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Publication:SciTech Book News
Article Type:Book Review
Date:Mar 1, 2006
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