SMS scnews item created by James East at Mon 29 Jun 2009 1025
Type: Seminar
Distribution: World
Expiry: 3 Jul 2009
Calendar1: 3 Jul 2009 1205-1255
CalLoc1: Carslaw 375

Algebra Seminar

Existence, covolumes and infinite generation of lattices for Davis complexes

Anne Thomas

Friday July 3, 12:05--12:55pm, Carslaw 375


Let Sigma be the Davis complex for a Coxeter system (W,S). The automorphism group G of Sigma is naturally a locally compact group, and a simple combinatorial condition due to Haglund-Paulin determines when G is nondiscrete. The Coxeter group W may be regarded as a uniform lattice in G. We show that many such G also admit a uniform lattice Gamma, and an infinite family of nonuniform lattices with covolumes converging to that of Gamma. We also show that the nonuniform lattice Gamma is not finitely generated.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East

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