Infinite Analysis Seminar Tokyo

Seminar information archive ~07/21Next seminarFuture seminars 07/22~

Date, time & place Saturday 13:30 - 16:00 117Room #117 (Graduate School of Math. Sci. Bldg.)

2023/12/06

13:00-14:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Misha Feigin (University of Glasgow)
This seminar has been cancelled.

Flat coordinates of algebraic Frobenius manifolds (ENGLISH)
[ Abstract ]
This seminar has been cancelled.

Orbit spaces of the reflection representation of finite irreducible Coxeter groups provide Frobenius manifolds with polynomial prepotentials. Flat coordinates of the corresponding flat metric, known as Saito metric, are distinguished basic invariants of the Coxeter group. They have applications in representations of Cherednik algebras. Frobenius manifolds with algebraic prepotentials remain not classified and they are typically related to quasi-Coxeter conjugacy classes in finite Coxeter groups. We obtain flat coordinates for the majority of known examples of algebraic Frobenius manifolds in dimensions up to 4. In all the cases, flat coordinates appear to be some algebraic functions on the orbit space of the Coxeter group. This is a joint work with Daniele Valeri and Johan Wright.