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SUMMARY:Ida Zadeh (University of Southampton\, UK)
DTSTART:20260225T111500Z
DTEND:20260225T121500Z
DTSTAMP:20260416T031118Z
UID:PHK-cohomology-seminar/148
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/148/">Tracking the symmetries of Z3-orbifold K3s within the Mat
 hieu groups</a>\nby Ida Zadeh (University of Southampton\, UK) as part of 
 Prague-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics a
 nd statistics\n\nLecture held in ZOOM meeting.\n\nAbstract\nThis seminar s
 tarts <b>EARLIER</b> than the usual schedule.\n\n<b>We shall open the semi
 nar room + ZOOM meeting at 12.00</b> for (virtual) coffee and close ZOOM a
 t 13.30\n\nThe goal of this talk is to determine the group of holomorphic 
 symplectic automorphisms of Z3-orbifold limits of K3 surfaces\, and to tra
 ck this group within two of the sporadic groups Mathieu 12 and Mathieu 24.
  To do so\, I will provide a counterpart to the extensive studies by Nikul
 in and others of the geometry and symmetries of classical Kummer surfaces\
 , which involves a variation of Kondo's lattice techniques that Taormina a
 nd Wendland introduced earlier in the genesis of their symmetry surfing pr
 ogramme. I will realise the finite group of symplectic automorphisms of th
 is class of K3 surfaces as a subgroup of Mathieu 12 and Mathieu 24 in term
 s of permutations of respectively 12 and 24 elements. The talk is based on
  a joint work with Kasia Budzik\, Anne Taormina\, Mara Ungureanu and Katri
 n Wendland.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/148/
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