[Turkmath:6596] METU Math. Dep. General Seminar

[Konstantin Zheltukhin]

Dear all,


We are happy to welcome Prof. Murad Ozaydin, The University of Oklahoma, USA,
at Mathematial Department General Seminar.
Prof. Murad Ozaydin will give a talk

Title: Topological Combinatorics

  Abstract:  Topological Combinatorics is a relatively new  
subdiscipline of mathematics, with a history of merely three decades,  
where methods of  (usually equivariant) Algebraic Topology are used to  
prove theorems in Combinatorics.(This is in contrast to the more  
classical Combinatorial Topology where Combinatorics is the tool and  
the aim is Topology.) In many cases either no "combinatorial" proof is  
known, or such proofs are more complicated, less intuitive and are  
discretized versions of the continuous proof. Examples are the Kneser  
and Lovasz Conjectures (about graph colorings), the Evasiveness  
Conjecture (of Complexity Theory), Necklace Splittings as well as  
related results in finite group theory (Homological Sylow Theorems)  
and discrete/convex geometry (Topological Radon-Tverberg Theorems).

By far the most useful facts are the Borsuk-Ulam Theorem, the so  
called Dold's Theorem (a geralization of Borsuk-Ulam) and extensions  
of these. Some of these (completely topological) results were in fact  
motivated by such applications as mentioned above.  The talk will be  
mostly explaining and fleshing out this abstract with examples.




  Date:  08.10.2009
  Time:  15:40 - 16:30
  Place: Gunduz Ikeda Seminar Room


On behalf of recearch committee,
Kostyantyn Zheltukhin



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