In this talk we introduce a geometric refinement of Gromov-Witten invariants for P1-bundles relative to the natural fiberwise boundary structure. We call these refined invariants correlated Gromov-Wit...
The aim of this course is to present some recent advances in the theory of stable sheaves on higher dimensional varieties, in particular Fano and hyper-Kähler manifolds. We will start by reviewing the...
In this talk I will present some recent results concerning modelling and simulations of collective behaviors emerging in pedestrian dynamics. Starting from the '70s, a great variety of models have bee...
We are concerned with a generalization to the singular case of a result of C.C. Chen e C.S. Lin [Comm. An. Geom. 1998] for Liouville-type equations with rough potentials. The singular problem is actua...
This talk presents “partition theoretic” analogs of the classical work of Matiyasevich that resolved Hilbert’s Tenth Problem in the negative. The Diophantine equations we consider involve equations of...
In this talk, we deal with pointwise a priori estimates for positive solutions to m-Laplacian problems involving different types of reactions depending on the gradient. In particular, we discuss the...
Iwasawa theory studies arithmetically significant modules (e.g. class groups and Selmer groups) associated with pro-$p$-extensions $K/k$ of global fields ($p$ a prime). It usually focuses on $p$-parts...
Understanding how to characterize quantum chaotic dynamics is a longstanding question. The universality of chaotic many-body dynamics has long been identified by random matrix theory, which led to the...
We consider classical continuous system of interacting particles in Euclidean space (classical gas). Our approach to the limit theorems for the particle number is based on the method of cluster expans...
This talk deals with the stability analysis of discrete shock profiles for systems of conservation laws. These profiles correspond to approximations of shocks of systems of conservation laws by con...
