Download E-books Harmonic Analysis on Reductive, p-adic Groups (Contemporary Mathematics) PDF

This quantity comprises the complaints of the AMS certain consultation on Harmonic research and Representations of Reductive, $p$-adic teams, which used to be hung on January sixteen, 2010, in San Francisco, California. one of many unique guiding philosophies of harmonic research on $p$-adic teams used to be Harish-Chandra's Lefschetz precept, which steered a powerful analogy with genuine teams. From this starting, the topic has built a stunning number of instruments and purposes. to say quite a few, Moy-Prasad's improvement of Bruhat-Tits thought relates research to staff activities on in the neighborhood finite polysimplicial complexes; the Aubert-Baum-Plymen conjecture relates the neighborhood Langlands conjecture to the Baum-Connes conjecture through a geometrical description of the Bernstein spectrum; the $p$-adic analogues of classical symmetric areas play a vital position in classifying representations; and personality sheaves, initially constructed via Lusztig within the context of finite teams of Lie style, even have connections to characters of $p$-adic teams. The papers during this quantity current either expository and learn articles on those and comparable subject matters, offering a wide photograph of the present cutting-edge in $p$-adic harmonic research. The strategies are liberally illustrated with examples, often applicable for an upper-level graduate pupil in illustration concept or quantity thought. The concrete case of the two-by-two unique linear team is a continuing touchstone.

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