[Turkmath:7332] ODTÜ Matematik Bölümü Genel seminer 20.11.2025

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  Dear all,

   You are cordially invited to this week Mathematical Department
   General Seminar.

   Speaker:  Alex Degtyarev, Bilkent University

   Title: Automorphisms of sextic $K3$-surfaces

   Abstract: $K3$-surfaces play the role of elliptic curves in the  realm 
of algebraic surfaces. They are sophisticated enough to produce  
interesting and meaningful results that may hint possible  
generalizations, yet simple enough to make their study feasible. One  
remarkable feature of $K3$-surfaces is that, among all complete  
intersections of dimension at least two, they are the only ones whose  
group of projective automorphisms may (and typically is) much smaller  
than their group of birational automorphisms.

  I will discuss a particular example of sextic $K3$-surfaces and a  
particular construction of non-projective automorphisms, related to  
lines. In particular, it will be shown that, whenever a sextic has at  
least two lines, its group of birational automorphisms is infinite.

  This is a joint work with Igor Dolgachev, Shigeyuki Kondo, and Slawomir 
Rams.

   Date:  November 20, 2025

   Time: 15:40

   Place: Gündüz Ikeda Seminar Room



   On behalf of research committee,
   Kostyantyn Zheltukhin



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