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SUMMARY:David Favero (University of Alberta)
DTSTART:20220217T160000Z
DTEND:20220217T170000Z
DTSTAMP:20260423T053049Z
UID:ZAG/186
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/186/">Pa
 th Homotopy Quiver Algebras and Mirror Symmetry</a>\nby David Favero (Univ
 ersity of Alberta) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nA
 bstract\nGiven a quiver (directed graph) embedded in a topological space\,
  one can consider the algebra of directed paths up to homotopy.  Conversel
 y\, given a certain type of algebra\, I will construct a quiver and a topo
 logical space which recovers this algebra by the above procedure.  These c
 onstructions induce an equivalence between the derived category of the alg
 ebra and a certain subcategory of the derived category of sheaves on the t
 opological space.  As applications\, I will recover some examples of homol
 ogical mirror symmetry for Berglund-Hubsch-Krawitz mirrors and for toric v
 arieties following work of Bondal and Fan-Lui-Treumann-Zaslow.\n
LOCATION:https://researchseminars.org/talk/ZAG/186/
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