本文印刷
全画面プリント
離散数理モデリングセミナー
過去の記録 ～05/01｜次回の予定｜今後の予定 05/02～
| 担当者 | 時弘哲治, ウィロックス ラルフ |
|---|
2023年06月08日(木)
18:15-19:15 オンライン開催
Zoomを用いてオンラインで行います．参加希望の方はウィロックスまでZoomのリンクをお尋ねください．
Andy Hone 氏 (University of Kent)
Deformations of Zamolodchikov periodicity, discrete integrability and the Laurent property (English)
Zoomを用いてオンラインで行います．参加希望の方はウィロックスまでZoomのリンクをお尋ねください．
Andy Hone 氏 (University of Kent)
Deformations of Zamolodchikov periodicity, discrete integrability and the Laurent property (English)
[ 講演概要 ]
Zamolodchikov periodicity was a conjectured property of Y-systems observed in exactly solvable models of quantum field theory associated with simple Lie algebras. The advent of Fomin & Zelevinsky's theory of cluster algebras provided an ideal mathematical framework for proving and formulating extensions of this property. Recently we have found a family of birational maps which deforms the periodic dynamics observed by Zamolodchikov, and destroys the Laurent property that is an inherent feature of cluster dynamics, but still preserves integrability. In this talk we present a variety of examples of deformed integrable maps in types A, B & D, and show how to restore the Laurent property in higher dimensions. This is the combined result of joint work with Grabowski, Kouloukas, Kim and Mase.
Zamolodchikov periodicity was a conjectured property of Y-systems observed in exactly solvable models of quantum field theory associated with simple Lie algebras. The advent of Fomin & Zelevinsky's theory of cluster algebras provided an ideal mathematical framework for proving and formulating extensions of this property. Recently we have found a family of birational maps which deforms the periodic dynamics observed by Zamolodchikov, and destroys the Laurent property that is an inherent feature of cluster dynamics, but still preserves integrability. In this talk we present a variety of examples of deformed integrable maps in types A, B & D, and show how to restore the Laurent property in higher dimensions. This is the combined result of joint work with Grabowski, Kouloukas, Kim and Mase.
