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4D/2D duality and representation theory

This talk is about the 4D/2D duality by Beem et al., a new connection between quantum field theory and representation theory discovered rather recently. It associates an algebraic object called VOA to...

Sistemi di marce aleatorie cicliche interagenti

(chiamata in qualità di Professore di II fascia all'esito di procedure valutative ai sensi e con le modalità previste dall'art. 24, comma 5, della Legge 240/2010, riservate ai ricercatori a tempo dete...

Maximum principles and related problems for some degenerate nonlocal operators

Abstract I will present recent results concerning fully nonlinear integral operators with nonhomogenous diffusion, the general idea being that new phenomena may occur when the uniform e...

Spectral gap of the symmetric inclusion process.

Abstract: In this talk, we consider the symmetric inclusion process on a general finite graph. Our main result establishes universal upper and lower bounds for the spectral gap of this interacting par...

On some isoperimetric and spectral energies with repulsion

In the talk I will introduce some variational models where an aggregating term, like the perimeter or a Dirichlet-type energy, is in competition with a repulsive one. Examples of such models arise nat...

Interactions between Mathematics and Physics

Alias: Vittorio Gatti. An event in honor of Victor G. Kac...

Margulis Lemma and RCD spaces

The Margulis Lemma states that in a hyperbolic manifold, the subgroup of the fundamental group generated by small loops around a certain point behaves like an abelian group (more precisely, it is virt...

HIDDEN TEMPERATURE IN THE KIPNIS-MARCHIORO-PRESUTTI MODEL

Abstract: Stationary non equilibrium states (SNS) have a rich and complex structure. The large deviations rate functionals for the empirical measure of a few one dimensional SNS of stochastic interact...

Weak KAM theory and viscosity solutions on metric spaces

Weak KAM theory originally connected Mather theory of Lagrangian Systems with Viscosity Theory of the solutions of the corresponding Hamilton-Jacobi Equation, at least when the Hamiltonian is obtained...

Neuronal network structure inference by simulation

Abstract: Neurophysiologists are nowadays able to record from a large number of extracellular electrodes and to extract, from the raw data, the sequences of action potentials or spikes generated by ma...

Correlation energy of an electron gas in the mean-field approximation

The correlation energy of a high density fermionic Coulomb gas, called Jellium, is expected to be given by the Gell-Mann Brueckner formula. I will discuss an analogue of this formula for the mean-fiel...