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SUMMARY:Yulieth K. Prieto (Università di Bologna)
DTSTART:20210419T200000Z
DTEND:20210419T210000Z
DTSTAMP:20260423T021407Z
UID:AGSAGS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSAGS/27/">
 On K3 surfaces admitting symplectic automorphism of order 3</a>\nby Yuliet
 h K. Prieto (Università di Bologna) as part of American Graduate Student 
 Algebraic Geometry Seminar\n\n\nAbstract\nThe theory of K3 surfaces with s
 ymplectic involutions and their quotients is now a well-understood classic
 al subject thanks to foundational works of Nikulin\, Morrison\, and van Ge
 emen and Sarti. In this talk\, we will try to develop analogous results fo
 r K3 surfaces with symplectic automorphisms of order three: we will explic
 itly  describe the induced  action of these automorphisms on the K3-lattic
 e\, which is isometric to the second cohomology group of a K3 surface\; we
  deduce the relation between the families that admitting these automorphis
 ms and the ones given by their quotients. If time permits\, we give some a
 pplications: one related to Shioda-Inose structures\, and another one in t
 he construction of infinite towers of isogeneous K3 surfaces. This is join
 t work with Alice Garbagnati.\n
LOCATION:https://researchseminars.org/talk/AGSAGS/27/
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