Titlebook: Noncommutative Geometry and Number Theory; Where Arithmetic mee Caterina Consani,Matilde Marcolli Textbook 2006 Vieweg+Teubner Verlag | Spr

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The Hecke algebra of a reductive ,-adic group: a geometric conjecture,e prove our conjecture for SL(2) and GL(.). We also prove part (1) of the conjecture for the Iwahori ideals of the groups PGL(.) and SO(5). The conjecture, if true, leads to a parametrization of the smooth dual of . by the points in a complex affine locally algebraic variety.

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Homological algebra for Schwartz algebras of reductive p-adic groups, a consequence, if . is semi-simple, . and . are tempered irreducible representations of ., and . or . is square-integrable, then Ext.(.) ? 0 for all . ≥ 1. We use this to prove in full generality a formula for the formal dimension of square-integrable representations due to Schneider and Stuhler.

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Don Blasius A Bogens ist, zu den E Rechnungen be- C‘ nutzt, verlangert Abb. I. man eine Tangente AB iiber den Winkelpunkt hinaus, setzt eine beliebige Strecke a auf der Verlangerung und auf der anderen Hofer, Bogentafeln. 7. Auf!. 2 Einfiihrung. Tangente ab (BD = BE = a) und miJ3t die Ent- fernung DE = b. Dann ist I -b 978-3-662-01488-2

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