BIMSA > BIMSA AG Seminar BV differentials and Derived Lagrangian intersections in moduli spaces of surfaces on Fano and CY threefolds
BV differentials and Derived Lagrangian intersections in moduli spaces of surfaces on Fano and CY threefolds
Organizers
Mao Sheng , Artan Sheshmani , Nan Jun Yang , Bei Hui Yuan
Speaker
Artan Sheshmani
Time
Thursday, September 28, 2023 3:30 PM - 5:00 PM
Venue
YMSC-Jingzhai-304
Online
Zoom 638 227 8222 (BIMSA)
Abstract
We elaborate on construction of a derived Lagrangian intersection theory on moduli spaces of divisors on compact Calabi Yau threefolds. Our goal is to compute deformation invariants associated to a fixed linear system of divisors in CY3. We degenerate the CY3 into a normall crossing singular variety composed of Fano threefolds meeting along a K3. The deformation invariance arguments, together with derived Lagrangian intersection counts over the special fiber of the induced moduli space degeneration family, provides one with invariants of the generic CY fiber. This is report on several joint projects in progress with Ludmil Katzarkov, Tony Pantev, Vladimir Baranovsky and Maxim Kontsevich.
Speaker Intro
Artan Sheshmani is a Professor of pure Mathematics, specialized in Algebraic geometry, Enumerative and Derived Geometry, and Mathematics of String Theory. He joined BIMSA as a Professor in September 2023. Prior to BIMSA he was a senior personnel (Professor) at Simons Collaboration Program on Homological Mirror Symmetry at Harvard University Center for Mathematical Sciences and Applications (CMSA) for 7 years, during which he was also an Associate Professor of Mathematics at Institut for Mathematik (formerly the Center for Quantum Geometry of Moduli Spaces) at Aarhus University in Denmark (2016-2022). He is working on geometry of moduli spaces of sheaves and curves from enumerative geometry point of view as well as studying their structural properties from derived geometry and geometric representation theory point of view. He has been an invited speaker to ICCM and ICBS and a recipient of several awards. In 2019 he was one of the 30 winners of the IRFD "Research Leader" grant (approx 1M USD) in 2019.