[MD-sorular] Goup Theory at the Math Village

Ali Nesin nesin at bilgi.edu.tr
11 Eyl 2008 Per 15:35:32 EEST


During the bayram there will be a workshop of group theory at the Math Village.

Target: Undergraduates of high level, graduates and researchers.

More details are below, and also at http://matematikkoyu.org/grup_teori 

There may be a bus leaving from Istanbul.

Ali

Dates: September 28 – October 6, 2008. (Nine full days) 

There will be two sessions, one at the basic level directed towards students and the other, more advanced, aiming researchers and graduate students. 

The actual state of the program is below. Each talk will last 110 minutes with a break of 10 minutes in the middle. The timetable will be available later. 

If you want to propose a lecture please write to Ali Nesin (anesin at bilgi.edu.tr) Single talks are welcome. Graduate students may expose their ongoing research. 

No registration fee. 20 YTL/day for students (or whatever they can afford), 30 YTL/day for assistants and staff, 60 YTL for those who have a research grant. 

We may arrange a bus from Istanbul to Sirince. Please register early so that we have time to do the necessary arrangements. 

For registration write to aslican.korkmaz at gmail.com, for information anesin at bilgi.edu.tr. 

1) Basic Advanced Group Theory by Ali Nesin (9 days): Sylow Theorems. Solvable and Nilpotent groups. Decomposition theorems. Hall’s Theorem. Permutation groups, sharply 2 and 3 transitive groups. Prerequisites: A first year abstract algebra course. 

2) Classical Groups by Ali Nesin (9 days): Special linear, symplectic and orthogonal groups. From scratch and as much as the time allows. Prerequisites: Linear algebra and basic group theory. 

3) Kleinian and Fuchsian Groups by Andrei Ratiu (9 days): These are discrete subgroups of PSL2(â„‚). Mobius transformations of the extended complex plane. Action of the Mobius transformations on the upper half-space in â„3. Types of Mobius transformations. The definition and the main properties of Kleinian groups and Fuchsian groups. Prerequisites: Complex numbers and some rudiments of topology. 

4) Jordan Automorphisms of Some Radical Rings by Feride KuzucuoÄŸlu (1 day). 

5) Centralizers in Locally Finite Simple Groups by Mahmut KuzucuoÄŸlu (1 day). 

6) Sylow Subgroups of Some Classical Groups over Finite Fields by Nedim Narman (4 days). Their description. Prerequisites: Basic group theory and finite fields. 

7) Infinite Galois Theory and Profinite Groups by Özlem Beyarslan (3 days). Inverse limits, p-adic numbers and the prüfer group. The absolute Galois group of a finite field. Prerequisites: Basic field theory. 

8) Compact Lie Groups by Selçuk Demir (9 days): Topological groups. Lie groups. Compact Lie groups. Tangent space and its Lie algebra structure. Exponential mapping. Maximal tori. Root systems, Weyl group, Dynkin diagram. Haar measure. Peter-Weyl Theorem. 

9) Informal talks by master and doctorate students exposing their problems and research. 

 

-------------- sonraki bölüm --------------
Bir HTML eklentisi temizlendi...
URL: http://lists.math.bilgi.edu.tr/pipermail/md-sorular/attachments/20080911/c5647145/attachment.htm 


MD-sorular mesaj listesiyle ilgili daha fazla bilgi