[Turkmath:4235] Bilkent Topoloji Semineri - Alex Degtyarev- 25.11.2019

[Bilkent Mathematics]

Değerli liste üyeleri,
 
Bilkent Matematik Bölümü Topoloji Seminerleri kapsamında 25 Kasım'da Alex Degtyarev konuşmacı olacaktır.

Alex Degtyarev (Bilkent)

"Lines generate the Picard group of a Fermat surface" 

Özet: I will explain a purely topological solution of a long standing algebra-geometric problem, viz. the so-called Shioda conjecture. After a brief introduction to the subject, I will state the problem and reduce it to the computation of the fundamental group (or, rather, properly understood Alexander module) of a certain arrangement of lines in the plane. Then, in the bulk of the talk, I will try to explain this computation in detail: 
We will discuss the braid monodromy, Zariski--van Kampen theorem (with its pros and contras) computing the fundamental group of a plane curve, and, essentially, Fox' free calculus explained via cellular complexes.

The talk will largely be accessible to graduate and senior undergraduate students. At the end of the talk I am planning to discuss the generalizations to the so-called Delsarte surfaces and state a few open problems that may constitute a master or Ph.D. project.


Tarih: 25 Kasım 2019 Pazartesi, 13:40

Yer: SA - 141

Konuşma sonrasında çay-kurabiye ikramı yapılacaktır.
 
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Bilkent Üniversitesi Matematik Bölümü
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