Topological automorphic forms on U(1, 1)

Mark Behrens, Tyler Lawson

Research output: Contribution to journalArticlepeer-review


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
Issue number3
StatePublished - 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.


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


Dive into the research topics of 'Topological automorphic forms on U(1, 1)'. Together they form a unique fingerprint.

Cite this