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SUMMARY:Louis Esser (Princeton)
DTSTART:20231020T210000Z
DTEND:20231020T220000Z
DTSTAMP:20260406T162348Z
UID:agstanford/126
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 26/">Symmetries of Fano varieties</a>\nby Louis Esser (Princeton) as part 
 of Stanford algebraic geometry seminar\n\nLecture held in 383-N.\n\nAbstra
 ct\nA landmark result of Birkar\, Prokhorov\, and Shramov shows that autom
 orphism groups of Fano (or more generally rationally connected) varieties 
 over C of a fixed dimension are uniformly Jordan.  This means in particula
 r that there is some upper bound on the size of symmetric groups acting fa
 ithfully on rationally connected varieties of fixed dimension.  We give th
 e first effective asymptotic bound on these symmetric group actions\, as w
 ell as optimal bounds in all dimensions for special classes\, such as Fano
  weighted complete intersections and toric varieties.  Finally\, we show t
 hat klt Fano fourfolds with maximal symmetric actions are bounded\, establ
 ishing a link between boundedness and large group actions. This talk is ba
 sed on joint work with Lena Ji and Joaquín Moraga.\n
LOCATION:https://researchseminars.org/talk/agstanford/126/
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