Speaker: Vyacheslav Lysov （SIMIS and Fudan）
Time: 2025-10-22 16:00-18:00
Location: 1710, SIMIS
Zoom Meeting ID:842 8469 0354 Passcode:577098
Abstract: In the first part, I will briefly review the Gromov-Witten theory on the projective line with gravitational descendants. In particular, I will describe the topological recursion approach to evaluation for all descendant invariants. In the next part, I will define the correlation functions for the descendants in the Landau-Ginzburg-Saito (LGS) theory and show that they obey puncture, divisor, dilaton, and topological recursion relations. I will describe the map between the descendant observables in the GW theory on the projective line and those in the mirror LGS theory. Finally, I will outline the proof of the main theorem that the LGS correlation functions of the mirror observables are equal to the GW invariants with descendants. Given enough time, I will provide interesting examples of the LGS evaluation for particular descendant GW invariants on the projective line.
About Speaker: Vyacheslav Lysov is an Assistant Professor at the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). Before joining SIMIS, he was an Arnold Fellow at the London Institute for Mathematical Sciences (LIMS) in the UK. He obtained his Ph.D. in physics at Harvard in 2014. He was a postdoctoral fellow at Harvard, Caltech, and Okinawa Institute of Science and Technology (OIST). His current research interests mainly focus on tropical mirror symmetry and other related interdisciplinary topics in theoretical physics and mathematical physics.
简体中文 
English