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SUMMARY:Mark Gross (University of Cambridge)
DTSTART:20211116T150000Z
DTEND:20211116T160000Z
DTSTAMP:20260423T040002Z
UID:ZAG/164
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/164/">Op
 en FJRW theory</a>\nby Mark Gross (University of Cambridge) as part of ZAG
  (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nI will describe joint wo
 rk with Tyler Kelly and Ran Tessler. FJRW (Fan-Jarvis-Ruan-Witten) theory 
 is an enumerative theory of quasi-homogeneous singularities\, or alternati
 vely\, of Landau-Ginzburg models. It associates to a potential W:C^n -> C 
 given by a quasi-homogeneous polynomial moduli spaces of (orbi-)curves of 
 some genus and marked points along with some extra structure\, and these m
 oduli spaces carry virtual fundamental classes as constructed by Fan-Jarvi
 s-Ruan. Here we specialize to the case W=x^r+y^s and construct an analogou
 s enumerative theory for disks. We show that these open invariants provide
  perturbations of the potential W in such a way that mirror symmetry becom
 es manifest. Further\, these invariants are dependent on certain choices o
 f boundary conditions\, but satisfy a beautiful wall-crossing formalism.\n
LOCATION:https://researchseminars.org/talk/ZAG/164/
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