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SUMMARY:Hodge theory and categorical Torelli for double covers
DTSTART:20240206T140000
DTEND:20240206T160000
DTSTAMP:20260504T021232Z
UID:152fa6ca67146683e0ab9f3b78fa08b0762868f9505c6eb1284451e0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Franco Rota (Glasgow)\nThe work of Kuznetsov and Perry describ
 es the derived category of a cyclic cover X of weighted projective space. 
 The description is in terms of the categories of the base and of the branc
 h locus Z and works under the assumption that both Z and X are Fano. We re
 lax this assumption on Z and obtain an analogous result for canonically po
 larized branch loci.  This extended framework unlocks information about t
 wo deformation families of low degree Fano threefolds\, which arise as dou
 ble covers. We then use categorical K-theory to show that a specific compo
 nent of the derived category of the threefolds determines them up to isomo
 rphism (solving a so-called categorical Torelli problem). This is joint wo
 rk with A. Jacovskis and H. Dell.
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A1%2010
STATUS:CONFIRMED
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