Topological automorphic forms on U(1, 1)

Mark Behrens; Tyler Lawson

doi:10.1007/s00209-009-0632-6

Topological automorphic forms on U(1, 1)

Mark Behrens, Tyler Lawson

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The homotopy type and homotopy groups of some spectra TAF_GU of topological automorphic forms associated to a unitary similitude group GU of type (1, 1) are explicitly described in quasi-split cases. The spectrum TAF_GU is shown to be closely related to the spectrum TMF in these cases, and homotopy groups of some of these spectra are explicitly computed.

Original language	English (US)
Pages (from-to)	497-522
Number of pages	26
Journal	Mathematische Zeitschrift
Volume	267
Issue number	3
DOIs	https://doi.org/10.1007/s00209-009-0632-6
State	Published - Apr 2011

Bibliographical note

Funding Information:
M. Behrens was partially supported by NSF Grant #0605100, a grant from the Sloan foundation, and DARPA. T. Lawson was partially supported by NSF Grant #0805833.

Keywords

Automorphic forms
Cohomology theories
Homotopy groups
Shimura varieties

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KW - Cohomology theories

KW - Homotopy groups

KW - Shimura varieties

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Topological automorphic forms on U(1, 1)

Abstract

Bibliographical note

Keywords

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