Multiplicities is a broad audience seminar geared towards transversal topics whose aim is to highlight the diversity of mathematics and mathematicians.

It is especially intended for PhD students, interested in widening their horizons and is supported by the PRIDE Grant “Geometry, Probability and their Synergies (GPS)”.


 April 2, 2019

Béatrice de Tilière, The Z-invariant Ising model via dimers

 June 18, 2019

Diana Davis, Periodic paths on the pentagon

 May 12, 2020

Olga Romaskevich, T.B.A.

Béatrice de Tilière

The Z-invariant Ising model via dimers

 April 1, 2019    16:00 - 16:50
 MNO 1.020, Campus Belval

Abstract. The Ising model is one of the most classical models of statistical mechanics. We shall present its relation to dimers, its Z-invariant version and some results obtained with C. Boutillier and K. Raschel.

Diana Davis

Periodic paths on the pentagon

 June 18, 2019    16:30 - 17:20
 MNO 1.020, Campus Belval

Abstract. Mathematicians have long understood periodic trajectories on the square billiard table, which occur when the slope of the trajectory is rational. In this talk, I'll explain my joint work with Samuel Lelièvre on periodic trajectories on the regular pentagon, describing their geometry, symbolic dynamics, and group structure. The periodic trajectories are very beautiful, and some of them exhibit a surprising "dense but not equidistributed" behavior.

Olga Romaskevich


 May 12, 2020    16:30 - 17:20
 MNO 1.020, Campus Belval

Abstract. T.B.A.