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November 14, 2016 By GeometryAdmin

Vladimir Fock to speak in geometry seminar 16 November

Vladimir Fock will speak in the geometry seminar on Wednesday 16 November at 13h30, in the Salle de Profs (9th floor, building NO). Please note the unusual day! His title is “Teichmuller space as the main example of a cluster variety” and his abstract is below.

We will review a combinatorial approach to the Teichmüller space of complex structures on Riemann surfaces and show that such approach can be generalized to a large class of simple Lie groups related manifolds. The main advantage of this approach is to be able to use constructions natural in the Teichmüller spaces theory to study Lie groups or integrable systems and visa versa. In the second part of the talk we will discuss two main conjectures concerning cluster varieties in general. The duality conjecture (recently proved by Gross, Hacken, Keel and Kontsevich) claiming the existence of a kind of Fourier transform on a cluster variety. The second conjecture suggests a canonical hyperkähler structure on a double of a cluster variety.

Filed Under: geometry seminar news

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Département de mathématiques
Université libre de Bruxelles CP 218
Boulevard du Triomphe, Bruxelles 1050,
Belgium

Getting here

The department of mathematics is in building NO, on the Campus de la Plaine, of the Université libre de Bruxelles. The geometry group is on the 7th floor. This page has a map of the campus as well as information on how to reach it via public transport. See the STIB website for more information on public transport in Brussels.

Image credits

Polished ammonite fossil, by Kara Stenberg, Creative Commons licence CC BY-NC 2.0.

Model of 3D projection of a 120-cell, by Edmund Harriss.

The root system of the exceptional Lie algebra E8. By Jared Tarbell, Creative Commons Licence CC BY 2.0.

Getting here

The department of mathematics is in building NO, on the Campus de la Plaine, of the Université libre de Bruxelles. The geometry group is on the 7th floor. This map shows NO, as well as the metro station Delta and entrance 2, which is right by the stop for the number 71 and 72 buses. The number 95 also stops a short walk from the department. See the STIB website for more information on public transport in Brussels.

Image credits

Polished ammonite fossil, by Kara Stenberg, Creative Commons licence CC BY-NC 2.0.

Model of 3D projection of a 120-cell, by Edmund Harriss.

The root system of the exceptional Lie algebra E8. By Jared Tarbell, Creative Commons Licence CC BY 2.0.

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