[Turkmath:7957] MSGSÜ General Seminar, by Alp Bassa and Departmental Seminar, by Kıvanç Ersoy

[Ayse Berkman]

Mimar Sinan Fine Arts University


Department of Mathematics


General Seminar

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                      Alp Bassa
*        *

*Modular Towers of Function Fields*

In this talk we will consider the question of how many rational points a
curve over a finite field of large genus can have. One of the main sources
for curves with many points are modular curves. In fact the first examples
of curves with many points and good asymptotic behavior given by Ihara and
Tsfasman--Vladut--Zink were of this type and many of the interesting
explicit examples of Garcia--Stichtenoth and others have been shown by
Elkies to have a modular interpretation as well. We will elaborate further
on this modularity, show how it can be used to obtain more insight in
explicit optimal towers and sketch a Drinfeld modular interpretation for a
new family of towers of function fields. These towers give examples with
large limits over all non-prime finite fields.
This is joint work with Beelen, Garcia and Stichtenoth.

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

*Date   :*  October 21st, 2011 Friday, 15:00

You can find the directions to Bomonti campus in the following link:

http://maps.google.com/maps/ms?ie=UTF8&source=embed&oe=UTF8&msa=0&msid=213795424289905705960.0004a0d39a9a5543f043b



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You can also attend our departmental seminar, which will be given by Kıvanç
Ersoy, in Bomonti, at 13:30.

Mimar Sinan Fine Arts University

Department of Mathematics


Departmental Seminar

* *

                                      Kıvanç Ersoy

"Finite groups with a splitting automorphism of odd order

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         Thompson proved that a finite group with a fixed-point-free
automorphism of prime order is nilpotent. Kegel generalized this result to
finite groups with a splitting automorphism of prime order. Rowley proved
that a finite group with a fixed-point-free automorphism is solvable. In
this talk we will prove that a finite group with a splitting automorphism of
odd order is solvable and give an example of a non-solvable group with a
splitting automorphism of even order.



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

*Date   :*  October 21st, 2011 Friday, 13:30
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