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過去の記録 ～04/26｜次回の予定｜今後の予定 04/27～
| 開催情報 | 土曜日 13:30～16:00 数理科学研究科棟(駒場) 117号室 |
|---|---|
| 担当者 | 神保道夫、国場敦夫、山田裕二、武部尚志、高木太一郎、白石潤一 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/~takebe/iat/index-j.html |
2023年12月06日(水)
13:00-14:30 数理科学研究科棟(駒場) 056号室
Misha Feigin 氏 (University of Glasgow)
本講演はキャンセルとなりました
Flat coordinates of algebraic Frobenius manifolds (ENGLISH)
Misha Feigin 氏 (University of Glasgow)
本講演はキャンセルとなりました
Flat coordinates of algebraic Frobenius manifolds (ENGLISH)
[ 講演概要 ]
本講演はキャンセルとなりました
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.
本講演はキャンセルとなりました
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.
