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Research Bernoulli Institute Calendar

Colloquium Mathematics - N. Martynchuk (PhD student)

When:Th 20-09-2018 16:00 - 17:00
Where:5161.0165 (Bernoulliborg, Zernike)


On monodromy in integrable Hamiltonian systems


Hamiltonian monodromy was introduced by Duistermaat as an obstruction to the existence of global action coordinates in integrable Hamiltonian systems. Since then the notion of Hamiltonian monodromy has received considerable interest and has been generalized in several different directions, leading to the notions of quantum, fractional, and scattering monodromy.

In this talk, we will mainly discuss fractional monodromy. We will show that fractional monodromy can be defined for Seifert manifolds and that it is determined by the deck group and the Euler number of the associated Seifert fibration. This result allows one, in particular, to find non-trivial fractional monodromy in integrable systems where it has not (or could not have) been observed before.

If time permits, monodromy in scattering integrable systems will also be discussed.

Colloquium coordinators are Prof.dr. A.J. van der Schaft (a.j.van.der.schaft,

Dr. A.V. Kiselev (e-mail: a.v.kiselev