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SUMMARY:Sebastián Torres (IMSA)
DTSTART:20211019T150000Z
DTEND:20211019T160000Z
DTSTAMP:20260423T004547Z
UID:DerSem/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/29/">
 The BGMN conjecture via windows and stable pairs</a>\nby Sebastián Torres
  (IMSA) as part of Derived seminar\n\n\nAbstract\nLet C be a smooth projec
 tive curve of genus at least 2 and let N be the moduli space of stable ran
 k-two bundles on C of odd degree. We construct a semi-orthogonal decomposi
 tion in the derived category of N conjectured by Narasimhan and by Belmans
 \, Galkin and Mukhopadhyay. It contains two copies of the i-th symmetric p
 ower of C for i=0\,...\,g-2\, one copy of the (g-1)-st symmetric power\, a
 nd possibly a semi-orthogonal complement to all those blocks. This complem
 ent is expected to be trivial by the BGMN conjecture. Our approach is base
 d on an analysis of wall-crossing between moduli spaces of stable pairs\, 
 combining classical vector bundles techniques with the method of windows. 
 This is joint work with Jenia Tevelev.\n
LOCATION:https://researchseminars.org/talk/DerSem/29/
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