Topological automorphic forms
著者
書誌事項
Topological automorphic forms
（Memoirs of the American Mathematical Society, no. 958）
American Mathematical Society, c2009
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注記
"Volume 204, number 958 (second of 5 numbers)."
Includes bibliographical references (p. 129-132) and index
内容説明・目次
内容説明
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)
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