Topological Automorphic Forms

Buch | Softcover

136 Seiten

2010
American Mathematical Society (Verlag)
978-0-8218-4539-4 (ISBN)

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Applies 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.

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)

Erscheint lt. Verlag	21.9.2010
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	Illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	254 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-4539-X / 082184539X
ISBN-13	978-0-8218-4539-4 / 9780821845394
Zustand	Neuware