The research seminars Analysis & Geometry (A&G)  and Dynamical Systems & Mathematical Physics (DS&MP) are organised by the research groups of Prof. David Hasler, Prof. Daniel Lenz, Prof. Vladimir Matveev, Prof. Tobias Jäger and Prof. Thomas Wannerer.

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When: Thursdays @ 14:30-16:00 (A&G) and 16:00-17:30 (DS&MP)

Where: Ernst-Abbe-Platz 2, seminar room 3517 (OpenStreetMap)

 

Winter term 2019/20

 

October 17, 2019

14:30 (A&G), seminar room 3517

Nikolay Martynchuk (Friedrich-Alexander-Universität Erlangen-Nürnberg)

Scattering monodromy in integrable Hamiltonian systems

Abstract: The notion of Hamiltonian monodromy was introduced by Duistermaat, who defined this invariant as an obstruction to the existence of global action-angle coordinates in integrable Hamiltonian systems. Since then, non-trivial monodromy was observed in various specific examples of integrable systems, such as the spherical pendulum, the Lagrange top, and the hydrogen atom in crossed fields.
In this talk, we shall first discuss the classical notion of Hamiltonian monodromy and then focus on the so-called scattering monodromy, which generalises Hamiltonian monodromy to the case of non-compact systems; specifically, to systems that are both integrable and scattering. We present a new general description of this scattering invariant and compute it for the spatial Euler two-centre problem.
This talk is based on joint works with H.W. Broer, H.R. Dullin, K. Efstathiou and H. Waalkens.
(Contact: V. Matveev)

 

October 24, 2019

16:00 (Mathematical Colloquium Jena),

Ulf Hashagen (Forschungsinstitut für Technik- und Wissenschaftsgeschichte, Deutsches Museum München)

Rechnen, Denken und Erfinden im Zeitalter des Barock: Die Rechenmaschinen von Schickard, Pascal und Leibniz

 

 

November 7, 2019

14:30 (A&G), seminar room 3517

Uri Grupel  (Universität Innsbruck)

TBA

Abstract: 

(Contact: T. Wannerer)

 

 

November 14, 2019

14:30 (A&G), seminar room 3517

Jonas Knörr  (Goethe-Universität Frankfurt)

TBA

Abstract: 

(Contact: T. Wannerer)

 

 

December 5, 2019

14:30 (A&G), seminar room 3517

Siegfried Beckus  (Universität Potsdam)

TBA

Abstract: 

(Contact: M. Schmidt)

 

 

January 16, 2020

16:00 (Mathematical Colloquium Jena),

Daniel Rosen  (Ruhr-Universität Bochum)

TBA

Abstract: 

(Contact: T. Wannerer)