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SUMMARY:Huai-Liang CHANG (Hong Kong University of Science and Technology)
DTSTART:20210713T013500Z
DTEND:20210713T022500Z
DTSTAMP:20260423T024514Z
UID:2021PRCSG/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2021PRCSG/4/
 ">Structure of high genus Gromov Witten invariants</a>\nby Huai-Liang CHAN
 G (Hong Kong University of Science and Technology) as part of 2021 Pacific
  Rim Complex & Symplectic Geometry Conference\n\n\nAbstract\nGromov Witten
  invariants Fg encodes the numbers of genus g curves in Calabi Yau threefo
 lds and play an important role in enumerative geometry. In 1993\, Bershads
 ky\, Cecotti\, Ooguri\, Vafa exhibited a hidden ``Feynman structure” gov
 erning all Fg’s at once\, using path integral methods. The counterpart i
 n mathematics has been missing for many years. After a decades of search\,
  in 2018\, a mathematical approach: Mixed Spin P field (MSP) moduli\, is f
 inally developed to provide the wanted ``Feynman structure”\, for quinti
 c CY 3fold. Instead of enumerating curves in the quintic 3fold\, MSP enume
 rate curves in a large N dimensional singular space with quintic-3-fold bo
 undary. The “P fields” and “cosections” are used to formulate coun
 ting in the singular space via a Landau Ginzburg type construction. In thi
 s talk\, I shall focus on geometric ideas behind the MSP moduli. The resul
 ts follows from a decade of joint works with Jun Li\, Shuai Guo\, Young Ho
 on Kiem\, Weiping Li\, Melissa C.C. Liu\, Jie Zhou\, and Yang Zhou.\n
LOCATION:https://researchseminars.org/talk/2021PRCSG/4/
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