Top-level heading

Adiabatic evolution of low-temperature many-body quantum systems

We consider finite-range, many-body fermionic lattice models and we study the evolution of their thermal equilibrium state after introducing a weak and slowly-varying time-dependent perturbation. Unde...

GKM-Theory for cyclic quiver Grassmannians

After recalling some background on Goresky-Kottwitz-MacPherson (GKM) version of the Localization Theorem for equivariant cohomology, and some of the applications of such a result to (equivariant) Schu...

Variations of Yang-Mills lagrangians in high dimension

In this talk we will present some analysis aspects of gauge theory in high dimension. First, we will study the completion of the space of arbitrary smooth bundles and connections under L^p-control of ...

Universality of the energy expansion for the dilute Bose gases in the thermodynamic regime

Dilute Bose gases interacting through a positive, pairwise, radial potential have a common expression for the first terms of the energy density expansion given by the so-called Lee-Huang-Yang (LHY) fo...

On the REM approximation of TAP free energies

The free energy of TAP-solutions for the SK-model of mean-field spin glasses can be expressed as a nonlinear functional of local terms: we exploit this feature in order to contrive abstract REM-like m...

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...