PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee.

Title:Torsion homology of Bianchi Groups and Arithmetic
Seminar:Algebra and Number Theory Seminar
Speaker:Mehmet Haluk Sengun, U. Warwick, UK
Abstract:
Bianchi groups are groups of the form SL(2,R) where R is the ring of integers of an imaginary quadratic field. They form an important class of arithmetic Kleinian groups and moreover they hold a key role for the development of the Langlands program for GL(2) beyond totally real fields. In this talk, I will discuss several interesting questions related to the torsion in the homology of Bianchi groups. I will especially focus on the recent results on the asymptotic behavior of the size of torsion, and the reciprocity and functoriality (in the sense of the Langlands program) aspects of the torsion. Joint work with N.Bergeron and A.Venkatesh on the cycle complexity of arithmetic manifolds will be discussed at the end. The discussion will be illustrated with many numerical examples.

Room Reservation Information

Room Number:MB106
Date:10 / 10 / 2013
Time:11:15am - 12:05pm