LYSeMinar

LYSeMinar, the seminar of LYSM, will take place once a month in various Roman locations. It is a general seminar open to all, whose speakers will often, but not only, come from the “pool” of beneficiaries of missions financed by the LYSM.

2024

  • December 3 10.30,

Jean-Luc Sauvageot (TBC)

IMJ-PRG, Pari

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  • November 19 10.30

Gérard Besson

Institut Fourier, Grenoble

  • October 1 10.30, sala conferenze INdAM Piazzale Aldo Moro, 5 – Roma

Frédéric Patras

LYSM, Rome

Algebra and probability: old and new

Abstract: The talk will survey various aspects of the manifold interactions between algebra and probability, starting from Poincaré’s insights on card shuffles till recent advances on the structures underlying quantum probabilities and their applications.

  • September 3 10.30, sala conferenze INdAM Piazzale Aldo Moro, 5 – Roma

Michela Procesi (TBC)

Dipartimento di Matematica e Fisica, Università di Roma 3

Maximal tori in infinite dimensional dynamical systems

Abstract: I shall discuss  the existence of infinite-dimensional invariant tori in a mechanical system made of infinitely many rotators weakly interacting with each other. I shall concentrate on interactions depending only on the angles, with the aim of discussing in a simple case the analyticity properties to be required on the perturbation of the integrable system in order to ensure the persistence of a large measure set of invariant tori with finite energy.

  • June 4 10.30, sala conferenze INdAM Piazzale Aldo Moro, 5 – Roma

Adriana Garroni

Dipartimento di Matematica, Università di Roma “La Sapienza”

Variational modelling of grain boundaries

Abstract: I will describe a recent result in collaboration with M. Fortuna and E. Spadaro, based on a model introduce by Lauteri and Luckhaus for the analysis of small angle grain boundaries in crystals. The latter is a semi-discrete model where the elastic distortion of the bulk of the crystal is described by a continuum deformation field and  a small parameter is reminiscent of the lattice spacing of the underlying discrete structure. It also accounts for the crystal symmetry and the presence of defects. In the asymptotic analysis as the lattice spacing tends to zero we recover a sharp interface model for polycrystalline grain boundaries which, for small angles, agrees with the classical Read-Schokley formula.

  • May 7 10.30, sala conferenze INdAM Piazzale Aldo Moro, 5 – Roma

Eitan Tadmor

University of Maryland and Fondation Sciences Mathématiques de Paris & Laboratoire Jacques-Louis Lions – CNRS – Sorbonne Université/Université Paris Cité

Emergent Behavior in Alignment Dynamics

Abstract: A fascinating aspect of collective dynamics is self-organization of small-scale interactions into high-order structures with larger-scale patterns. In different contexts these are clusters which take the form of flocks, swarms, consensus, synchronized states etc.

In this talk I will survey recent mathematical developments in alignment dynamics, which is driven by the tendency of steering towards average headings. A main question of interest is how different alignment kernels affect the large-crowd, long-time dynamics. We discuss how short- vs. long-range interactions dictate the large-crowd emergent behavior, and the role of pressure away thermal equilibrium