[Turkmath:8196] Matematik Bolumu Seminer duyurusu

[Nejla]

Dear Colleagues,

I would like to draw your attention to the Seminars of Arnaldo Garcia
(Instituto Nacional de Matemática Pura e Aplicada).
Arnaldo Garcia is visiting METU as a guest of the METU SIAM Student Chapter
and his visit is supported by Tubitak. He will give a series of two talks in
METU. Details of his talks follow:

Seminar  1:  On Algebraic Curves Over Finite Fields


Date: February 27, 2012, Monday, 10:30
Place: Department of Mathematics, Room 203


Abstract

Bounding the number of points, with coordinates in a finite field, on
algebraic curves has attracted much attention, especially after the
discovery of V.D. Goppa of good linear codes from such algebraic curves.
This talk will be a survey on Curves with Many Points, specially the
so-called maximal curves; i.e., the ones attaining Hasse-Weil upper bound
(equivalent to the validity of Riemann Hypothesis in this context).


Seminar  2: Explicit Towers Over Non-Prime Finite Fields

Date: February 29, 2012, Wednesday, 15:30
Place: Institute of Applied Mathematics, S-209


Abstract


Bounding the number of rational points (rational places) on algebraic curves
(function fields) over finite fields has attracted much attention.
The most famous result here is the Hasse-Weil bound which is equivalent to
the Riemann Hypothesis in this context. Ihara was the first to realize that
the Hasse-Weil upper bound becomes weaker as the genus grows.  He then
introduced a quantity (now known as Ihara's quantity) that controls the
asymptotic on rational points (rational places) as the genus grows to
infinity. The only situation where the exact value of this quantity is known
is the case of finite fields of square cardinalities (due to Ihara using
Shimura modular curves). Over finite fields of cubic cardinalities one has a
good lower bound (due to Zink and Bezerra-Garcia-Stichtenoth).
For any other cardinality (not a square or a cube) essentially nothing was
known about the behaviour of Ihara's quantity. The aim of this talk is to
present some explicit infinite towers of curves (function fields) giving
very good lower bounds for this quantity over any non-prime finite field.
This is joint work with Bassa-Beelen-Stichtenoth.


Sponsors for this event:
Department of Mathematics, http://math.metu.edu.tr METU SIAM Student Chapter
Website: http://siam.metu.edu.tr Institute of Applied Mathematics,
http://www3.iam.metu.edu.tr


Best regards,

Mohan Bhupal
On behalf of the Research Committee

_______________________________________________
ODTU-MATH mailing list
ODTU-MATH at metu.edu.tr
https://mailman.metu.edu.tr/mailman/listinfo/odtu-math



 

-------------- sonraki bölüm --------------
Bir HTML eklentisi temizlendi...
URL: <http://yunus.listweb.bilkent.edu.tr/cgi-bin/mailman/private/turkmath/attachments/20120227/5c0f0f5c/attachment.htm>