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SUMMARY:Pieter Belmans
DTSTART:20201006T140000Z
DTEND:20201006T150000Z
DTSTAMP:20260423T052833Z
UID:Freemath/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/25/
 ">Graph potentials as mirrors to moduli of vector bundles on curves</a>\nb
 y Pieter Belmans as part of Free Mathematics Seminar\n\n\nAbstract\nIn a j
 oint work with Sergey Galkin and Swarnava Mukhopadhyay we have a class of 
 Laurent polynomials associated to decorated trivalent graphs which we call
 ed graph potentials. These Laurent polynomials satisfy interesting symmetr
 y and compatibility properties. Under mirror symmetry they are related to 
 moduli spaces of rank 2 bundles (with fixed determinant of odd degree) on 
 a curve of genus $g\\geq 2$\, which is a class of Fano varieties of dimens
 ion $3g-3$. I will discuss (parts of) the (enumerative / homological) mirr
 or symmetry picture for Fano varieties\, and then explain what we understa
 nd for this class of varieties and what we can say about the (conjectural)
  semiorthogonal decomposition of the derived category.\n
LOCATION:https://researchseminars.org/talk/Freemath/25/
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