[Turkmath:8302] MSGSU Seminar, Friday 30th by M. Haluk Şengün at 14:00

[Safak Ozden]

Mimar Sinan Fine Arts University



Department of Mathematics



*General * *Seminar*

*M. Haluk Şengün*

*(University of Warwick)*





*Cohomology of Bianchi Groups*



Abstract: Bianchi groups are groups of the form SL(2,R) where R is the ring
of integers of an imaginary quadratic field. They arise naturally in the
study of hyperbolic 3-manifolds and of certain generalizations of the
classical modular forms (called Bianchi modular forms) for which they
assume the role of the classical modular group SL(2,Z). In this latter
sense, the study of Bianchi groups is fundamental for developing Langlands'
programme for GL(2) beyond totally real fields.

The overall goal of this talk is to give the audience an overview of some
of the fundamental problems in the arithmetic aspects of the theory of
Bianchi groups. After giving the necessary background, I will start with a
discussion of the problem of understanding the behavior of the dimensions
of the cohomology of Bianchi groups and their congruence subgroups. Next, I
will focus on the amount of the torsion that one encounters in the
cohomology . Finally, I will discuss the arithmetic significance of these
torsion classes.



*Place :*  MSGSÜ Faculty of Science and Arts (Bomonti)

*Date   :*   April 13th,  2012 Friday, 14:00

Google map directions<http://maps.google.com/maps?saddr=Osmanbey+Metro+Dura%C4%9F%C4%B1,+Istanbul,+T%C3%BCrkiye&daddr=Silah%C5%9F%C3%B6r+Cd&hl=en&ie=UTF8&sll=41.054648,28.983843&sspn=0.0111,0.022724&geocode=FedkcgIdC1G6ASEannS9gJWiuA%3BFU5_cgIdCDC6AQ&oq=tarihi+bira&mra=dme&mrsp=1&sz=16&t=m&z=16>
to
MSGSU from Osmanbey Subway station.
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