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Discrete mathematical modelling seminar
Seminar information archive ～04/24｜Next seminar｜Future seminars 04/25～
| Organizer(s) | Tetsuji Tokihiro, Ralph Willox |
|---|
Next seminar
2024/05/01
13:00-15:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Jaume Alonso (Technische Universität Berlin)
Semitoric systems and their symplectic invariants (English)
Jaume Alonso (Technische Universität Berlin)
Semitoric systems and their symplectic invariants (English)
[ Abstract ]
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.
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.
