10:00 - 11:30, September 20, 2024 (Friday) Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
Quantum Cohomology of Toric Bundles Yuki Koto (Academia Sinica)
Abstract
Quantum cohomology of a smooth projective variety is a deformation of a ring structure on usual cohomology defined by virtual counting of rational curves on . It is known to be deeply related to various fields, including mirror symmetry, enumerative geometry and birational geometry. When is a fiber bundle, the relationship between cohomology of a base/fiber and cohomology of the total space is well understood. While it is natural to expect a similar phenomenon in quantum cohomology, it remains unclear in a general situation. In this talk, I will explain the progress in this problem when the fiber is a smooth (semi)projective toric variety. This work is partially based on joint work with Iritani.
