Mathematical Center in Akademgorodok invites you to take part in the Beijing-Novosibirsk web-seminar on geometry and mathematical physics on May 1 at 16:00 Novosibirsk time (GMT+7).
Stokes phenomenon, reflection equations and Frobenius manifolds
Xu Xiaomen
(Peking university, Beijing, China)
Reflection equations, arsing from quantum integrable systems with boundary conditions, are the analog of Yang-Baxter equations on a half line. Geometrically, they encode the cylinder braid groups. Algebraically they are closely related to quantum homogenous spaces. In this talk, we first give an introduction to the Stokes phenomenon of an ODE with irregular singularities. We then prove that the Stokes matrices of cyclotomic Knizhnik鈥揨amolodchikov (KZ) equations give universal solutions to reflection equations. As an application, we show that the isomonodromy deformation of the KZ equations is a quantization of the Dubrovin connections of Frobenius manifolds from various aspects.
To attend the seminar, join a conference in Zoom at
on May 1 after 15:45 Novosibirsk time (GMT+7).
Conference ID: 935 9166 2421
Password 9T7zXH
