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DTSTART:20070311T020000
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DTSTAMP:20221207T181555
DTSTART;TZID=America/Detroit:20221207T160000
DTEND;TZID=America/Detroit:20221207T173000
SUMMARY:Workshop / Seminar:Algebraic Geometry Seminar
DESCRIPTION:Compact Hyperkähler manifolds are one of the building blocks of Kähler manifolds with trivial first chern class\, but very few examples are known. One strategy for potentially finding new examples is to look at finite groups of symplectic automorphisms of the known examples\, and study the fixed loci or quotient. In this talk\, we will obtain a classification of birational symplectic involutions of manifolds of OG10 type. We do this from two vantage points: firstly following classical techniques relating birational transformations to automorphisms of the Leech lattice. Secondly\, we look at involutions that are obtained from cubic fourfolds via the compactified intermediate Jacobian construction. In this way\, we obtain new involutions that could potentially give rise to new holomorphic symplectic varieties. If time permits\, we will mention ongoing work to identify the fixed loci in one of these examples. Speaker(s): Lisa Marquand (Stony Brook University)
UID:101469-21801380@events.umich.edu
URL:https://events.umich.edu/event/101469
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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