離散数理モデリングセミナー

過去の記録 ~04/24次回の予定今後の予定 04/25~

担当者 時弘哲治, ウィロックス ラルフ

次回の予定

2024年05月01日(水)

13:00-15:00   数理科学研究科棟(駒場) 126号室
Jaume Alonso 氏 (Technische Universität Berlin)
Semitoric systems and their symplectic invariants (English)
[ 講演概要 ]
Semitoric systems are a special class of completely integrable systems defined on four-dimensional symplectic manifolds. One of the reasons that make these systems interesting is their classification in terms of five symplectic invariants proposed by Pelayo and Vũ Ngọc. In the last years, many efforts have been made in order to extend this classification to broader settings, to generate more examples and to compute their invariants. In this talk we will discuss some of the most important properties of semitoric systems and introduce some families of systems with one and more focus-focus singularities. We will also show how the symplectic invariants of these systems change as we move the parameters of the families and how they can be computed using mathematical software.

This is a joint work with H. Dullin, S. Hohloch and J. Palmer.