Speaker: Kenji Fukaya (YMSC & BIMSA)
Time:17:00-17:45, 2024-09-23
Venue: A6-1
Zoom:388 528 9728
Password: BIMSA
Speaker Intro
Kenji Fukaya became a professor of BIMSA and YMSC in September 2024. He received his BA in Mathematics at the University of Tokyo in 1981, and continued graduate studies at the University of Tokyo, receiving his PhD in 1986. His thesis was entitled A boundary of the set of Riemannian manifolds with bounded curvatures and diameters. He was at the University of Tokyo from 1983 through 1990, where he was first a research assistant and then an Associate Professor. He was a Professor of Mathematics at Kyoto University in 1994, and became a permanent member of the Simons Center in 2013. He was awarded the Japan Academy Award in 2003, Asahi prize in 2009, and Fujiwara prize in 2012. He is a member of the Japanese National Academy of Sciences.
Fukaya’s recent work has been in symplectic geometry and in particular has centered around the study of Lagrangian submanifolds and the Floer homology related to intersections of these submanifolds. Fukaya developed and has studied extensively a theory in which the Lagrangian submanifolds of a given symplectic manifold are the objects of a generalized category, now called the Fukaya category, and the morphisms are the Floer homology groups. This work is closely related to Kontsevich’s homological mirror symmetry conjecture . This is now formulated as the conjecture that the derived category of coherent sheaves on a Kahler manifold should be isomorphic to the Fukaya category of a `mirror’ symplectic manifold. His earlier work was in Riemannian geometry and especially dealt with collapsing results in this context.
Member Seminar Intro
The BIMSA member seminar is a weekly event during which researchers engage in discussions about their extensive research interests, addressing a diverse audience that includes fellow researchers and all postdoctoral scholars within the institute. This forum provides a unique privilege and an invaluable opportunity for each research faculty member, serving as a speaker, to introduce their research field, promote the subject within the institute, and ignite the potential for future collaborations with other research groups within the institute.
The lecture format consists of a 30-minute colloquium-style presentation, thoughtfully tailored to be accessible to postdoctoral scholars and researchers from diverse disciplines within the institute. Following the presentation, a 15-minute discussion session is anticipated, involving active participation from postdocs representing various fields.
It is mandatory for all postdocs at the institute to actively participate in this event. The enthusiastic involvement of faculty members is greatly valued and will prove mutually beneficial for both the speaker and the junior audience.
Organizers
Yuval Peres
Professor
Probability Theory
Artan Sheshmani
Professor
Algebraic Geometry
Hossein Yavartanoo
Professor
Mathematical Physics