[Turkmath:6602] FW:

Cemal Koc ckoc at dogus.edu.tr
7 Eki 2009 Çar 15:01:33 EEST


 

 

 

Sayın Matematikçiler,

 

Oklahoma Üniversitesi(ABD) öğretim üyelerinden Prof. Dr. Murad Özaydın Doğuş Üniversitesi Matematik Bölümünde bir konuşma yapacaktır. İlgilenenlere saygıyla duyurulur.

 

Tarih: 13 Ekim 2009 SALI

Saat: 16:00-18:00

Yer:  H-705

 

 

Dear All,

 

Professor Murad Özaydın, The University of Oklahoma, USA. will give a talk at the Department of Department of Mathematics, Doğuş University. All interested are cordially  invited.

 

Date Oct.13, 2009 Tuesday

Time 16:00-18:00

Place:  H-705

 

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 generalization 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.

 

 

 

C.Koç

Doğuş Üniversitesi

 

 

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