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DTSTAMP:20260405T203519Z
UID:1679572800@ist.ac.at
DTSTART:20230323T130000
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DESCRIPTION:Speaker: Justin Sawon\nhosted by Tamas Hausel\nAbstract: The ge
 neralized Kummer variety K_n of an abelian surface A is the fibre of the n
 atural map Hilb^{n+1}A->Sym^{n+1}A->A. Debarre described a Lagrangian fibr
 ation on K_n whose fibres are the kernels of JacC->A\, where C are curves 
 in a fixed linear system in A. A different (isotrivial) Lagrangian fibrati
 on on K_n arises when A is the product of elliptic curves. In this talk we
  consider the dual Lagrangian fibrations. The dual of the Debarre system i
 s constructed in a similar way to the duality between SL- and PGL-Hitchin 
 systems described by Hausel and Thaddeus\, and in a few cases we are able 
 to verify topological mirror symmetry'\, i.e.\, equality of (stringy) Hodg
 e numbers of the Debarre fibration and its dual. The dual of the isotrivia
 l fibration is easier to describe and we can verify topological mirror sym
 metry in many more cases. Finally\, we speculate on how to enhance this to
  homological mirror symmetry'.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\, 
 ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at 
SUMMARY:Justin Sawon: Mirror symmetry for generalized Kummer varieties
URL:https://talks-calendar.ista.ac.at/events/4077
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