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SUMMARY:Deniz Genlik (OSU)
DTSTART:20231117T124000Z
DTEND:20231117T134000Z
DTSTAMP:20260423T021234Z
UID:OBAGS/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/35/">H
 olomorphic anomaly equations for $\\mathbb{C}^n/\\mathbb{Z}_n$</a>\nby Den
 iz Genlik (OSU) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nA
 bstract\nIn this talk\, we present certain results regarding the higher ge
 nus Gromov-Witten theory of $\\mathbb{C}^n/\\mathbb{Z}_n$ obtained by stud
 ying its cohomological field theory structure in detail. Holomorphic anoma
 ly equations are certain recursive partial differential equations predicte
 d by physicists for the Gromov-Witten potential of a Calabi-Yau threefold.
  We prove holomorphic anomaly equations for $\\mathbb{C}^n/\\mathbb{Z}_n$ 
 for any $n\\geq 3$. In other words\, we present a phenomenon of holomorphi
 c anomaly equations in arbitrary dimension\, a result beyond the considera
 tion of physicists. The proof of this fact relies on showing that the Grom
 ov-Witten potential of $\\mathbb{C}^n/\\mathbb{Z}_n$ lies in a certain pol
 ynomial ring. This talk is based on the joint work arXiv:2301.08389 with H
 sian-Hua Tseng.\n
LOCATION:https://researchseminars.org/talk/OBAGS/35/
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