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SUMMARY:Matthew Habermann
DTSTART:20210216T150000Z
DTEND:20210216T160000Z
DTSTAMP:20260423T021313Z
UID:Freemath/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/39/
 ">Homological mirror symmetry for nodal stacky curves</a>\nby Matthew Habe
 rmann as part of Free Mathematics Seminar\n\n\nAbstract\nIn this talk I wi
 ll explain the proof of homological mirror symmetry where the B-side is a 
 ring or chain of stacky projective lines joined nodally\, and where each i
 rreducible component is allowed to have a non-trivial generic stabiliser\,
  generalising the work of Lekili and Polishchuk. The key ingredient is to 
 match categorical resolutions on the A- and B-sides with an intermediary c
 ategory given by the derived category of modules of a gentle algebra. I wi
 ll begin by explaining how to construct this category from the data of the
  A- and B-models before moving on to applications. In particular\, one can
  show homological mirror symmetry where the B-model is taken to be an inve
 rtible polynomial in two variables\, but where the grading group is not ne
 cessarily maximal. In the maximally graded case the mirror is shown to be 
 graded symplectomorphic to the Milnor fibre of the transpose invertible po
 lynomial\, thus establishing the Lekili-Ueda conjecture in dimension one.\
 n
LOCATION:https://researchseminars.org/talk/Freemath/39/
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