The Hodge conjecture is a central problem in modern algebraic geometry. It is notoriously difficult to attack, and we still lack general evidence towards its validity. In my talk I will present a proo...
In this talk, we describe the kinetic equation for the Bogoliubov excitations of the Bose-Einstein Condensate. We find three collisional processes: One of them describes the 1↔2 interactions between t...
In the 80's Kudla and Millson introduced a theta function in two variables, nowadays known as the Kudla--Millson theta function. This behaves as a Siegel modular form with respect to one variable, and...
Abstract: Le equazioni alle derivate parziali iperboliche descrivono numerosi fenomeni fisici e trovare soluzioni analitiche di questi problemi è spesso impossibile. Per questo dobbiamo ricorrere a me...
In this talk, we will present two kinetic models that are used to describe the evolution of charged particles in plasmas: the Vlasov-Poisson system and the Vlasov-Poisson system with massless electron...
We will investigate the arithmetic properties of the j-invariant of a rank two Drinfeld module having CM by an order of an << imaginary quadratic function field. This talk is based on a joint wo...
