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TZID:Europe/Vienna
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DTSTART:20200329T030000
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TZOFFSETTO:+0200
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DTSTART:20191027T020000
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BEGIN:VEVENT
DTSTAMP:20260403T220530Z
UID:5c3337d568dfc261116493@ist.ac.at
DTSTART:20200305T133000
DTEND:20200305T153000
DESCRIPTION:Speaker: Lenny Taelman\nhosted by Tamas Hausel\nAbstract: In th
 is talk we consider auto-equivalences of the bounded derived category D(X)
  of coherent sheaves on a smooth projective complex variety X. By a result
  of Orlov\, any such auto-equivalence induces an (ungraded) automorphism o
 f the singular cohomology H(X\,\\Q). If X is a K3 surface\, then work of M
 ukai\, Orlov\, Huybrechts\, Macr and Stellari completely describes the ima
 ge of the map \\rho_X : \\Aut D(X) --> Aut(H(X\, \\Q)). We will study the 
 image of \\rho_X for higher-dimensional hyperkhler varieties. An important
  tool is a certain Lie algebra acting on H(X\, \\Q)\, introduced by Verbit
 sky\, Looijenga and Lunts. We show that this Lie algebra is a derived inva
 riant\, and use this to study the image of \\rho_X.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Lenny Taelman: Derived equivalences of hyperkähler varieties
URL:https://talks-calendar.ista.ac.at/events/2511
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