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SUMMARY:Federico Barbacovi (UCL)
DTSTART:20201105T133000Z
DTEND:20201105T143000Z
DTSTAMP:20260423T041351Z
UID:notts_ag/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/33/
 ">Understanding the flop-flop autoequivalence using spherical functors</a>
 \nby Federico Barbacovi (UCL) as part of Online Nottingham algebraic geome
 try seminar\n\n\nAbstract\nThe homological interpretation of the Minimal M
 odel Program conjectures that flips should correspond to embeddings of der
 ived categories\, and flops to equivalences. Even if the conjecture doesn
 ’t provide us with a preferred functor\, there is an obvious choice: the
  pull-push via the fibre product. When this approach work\, we obtain an i
 nteresting autoequivalence of either side of the flop\, known as the “fl
 op-flop autoequivalence”. Understanding the structure of this functor (e
 .g. does it split as the composition of simpler functors?) is an interesti
 ng problem\, and it has been extensively studied. In this talk I will expl
 ain that there is a natural\, i.e. arising from the geometry\, way to real
 ise the “flop-flop autoequivalence” as the inverse of a spherical twis
 t\, and that this presentation can help us shed light on the structure of 
 the autoequivalence itself.\n
LOCATION:https://researchseminars.org/talk/notts_ag/33/
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