Topological automorphic forms on U(1, 1)

Mark Behrens, Tyler Lawson

Research output: Contribution to journalArticlepeer-review

Abstract

The homotopy type and homotopy groups of some spectra TAFGU of topological automorphic forms associated to a unitary similitude group GU of type (1, 1) are explicitly described in quasi-split cases. The spectrum TAFGU 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 languageEnglish (US)
Pages (from-to)497-522
Number of pages26
JournalMathematische Zeitschrift
Volume267
Issue number3
DOIs
StatePublished - Apr 2011

Keywords

  • Automorphic forms
  • Cohomology theories
  • Homotopy groups
  • Shimura varieties

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