Integrable Deformations and Frobenius-Saito Structures, I


10:30:00 - 12:00:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

This is the first part of two talks on integrable deformations of bundles on the Riemann sphere and Frobenius-Saito structures. We will follow the book in the Reference item to introduce these notions along with some examples. More concretely, we intend to include the following topics:
(a) Integrable deformations of solutions to the Riemann-Hilbert problem and to the Birkhoff problem;
(b) Definition and basic properties of the Frobenius-Saito structure;
(c) Frobenius-Saito structures of type A_d.
Reference: C. Sabbah, Isomonodromic Deformations and Frobenius Manifolds: An Introduction. Chapters VI and VII.