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SUMMARY:Andrea Brini (Sheffield)
DTSTART:20211028T090000Z
DTEND:20211028T100000Z
DTSTAMP:20260423T041352Z
UID:notts_ag/79
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/79/
 ">Quantum geometry of log-Calabi Yau surfaces</a>\nby Andrea Brini (Sheffi
 eld) as part of Online Nottingham algebraic geometry seminar\n\n\nAbstract
 \nA log-Calabi Yau surface with maximal boundary\, or Looijenga pair\, is 
 a pair (X\,D) with X a smooth complex projective surface and D a singular 
 anticanonical divisor in X. I will introduce a series of physics-motivated
  correspondences relating five different classes of enumerative invariants
  of the pair (X\,D):\n * the log Gromov--Witten theory of (X\,D)\,\n * the
  Gromov--Witten theory of X twisted by the sum of the dual line bundles to
  the irreducible components of D\,\n * the open Gromov--Witten theory of s
 pecial Lagrangians in a toric Calabi--Yau 3-fold determined by (X\,D)\,\n 
 * the Donaldson--Thomas theory of a symmetric quiver specified by (X\,D)\,
  and\n * a class of BPS invariants considered in different contexts by Kle
 mm--Pandharipande\, Ionel--Parker\, and Labastida--Marino--Ooguri--Vafa.\n
 I will also show how the problem of computing all these invariants is clos
 ed-form solvable. Based on joint works with P. Bousseau\, M. van Garrel\, 
 and Y. Schueler.\n
LOCATION:https://researchseminars.org/talk/notts_ag/79/
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