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Topological Automorphic Forms (Memoirs of the American Mathematical Society)

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The authors apply a theorem of J. Lurie to produce cohomology theories associated to certain Shimura varieties of type $U(1,n-1)$. These cohomology theories of topological automorphic forms ($\mathit{TAF}$) are related to Shimura varieties in the same way that $\mathit{TMF}$ is related to the moduli space of elliptic curves. Table of Contents: $p$-divisible groups; The Honda-Tate classification; Tate modules and level structures; Polarizations; Forms and involutions; Shimura varieties of type $U(1,n-1)$; Deformation theory; Topological automorphic forms; Relationship to automorphic forms; Smooth $G$-spectra; Operation on $\mathit{TAF}$; Buildings; Hypercohomology of adele groups; $K(n)$-local theory; Example: chromatic level $1$; Bibliography; Index. (MEMO/204/958)

Product Specifications

Format: paperback
ASIN: 082184539X
Category: Books > Subjects > Biography > Professionals & Academics
Domain: Amazon UK
Release Date: 15 March 2010
Listed Since: 18 January 2010

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Topological Automorphic Forms (Memoirs of the American Mathematical Society)

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