Topological automorphic forms on U(1,1)

被引：0

作者：

Behrens, Mark ^{[1
]}

Lawson, Tyler ^{[2
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02140 USA

[2] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

来源：

MATHEMATISCHE ZEITSCHRIFT | 2011年 / 267卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

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

D O I：

10.1007/s00209-009-0632-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：497 / 522

页数：26

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