Quantum deformation theory of some algebraic curves (cont.)
主讲人: Jian Zhou
活动时间: 从 2014-10-08 00:00 到 00:00
场地: Room 09 at Quan Zhai, BICMR
Time: Wednesday Oct. 8, 14:00-16:00
Venue: Room 9 at Quan Zhai, BICMR
Speaker: Jian Zhou
Abstract. Inspired by mirror symmetry, we propose to study a quantum theory of deformation of complex structures on the mirror of Gromov-Witten like theories. This means the following two things: (1) Enlarge the ordinary moduli space to incorporate gravitational descendants; (2) Quantize this enlarged moduli space to include quantum corrections in higher genera. We will explain these by going through some examples of plane algebraic curves, the Airy curve that encodes all information about the Witten-Knotsevich tau-functions.