For more information about this meeting, contact Karl Schwede, 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 |
|---|
