Even before the introduction of Conformal Field Theory by Belavin, Polyakov and Zamolodchikov, it appeared indirectly in the work of den Nijs and Nienhuis using Coulomb gas techniques. The latter post...
In this talk we will discuss the (de-)linearization of modules over smooth varieties, introduced by A. Grothendieck, and we will introduce the classic Berstein-Gelfand-Gelfand (BGG) theory. The two ar...
Tannaka Duality refers to the reconstruction of a compact group from its representations, while Serre's GAGA theorem relates coherent sheaves on an algebraic variety to its analytification. This talk...
I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia (Roma 3),...
We plan to survey the shock wave theory for hyperbolic conservation laws in one spatial dimension. There is the Glimm existence theory, Glimm-Lax decay theory and subsequent works on solution behavior...
We will introduce a singular-regular decomposition of the Green’s function for a linearized Boltzmann equation and based on this decomposition one can decomposed the solution of the Boltzmann equation...
Linear series on smooth curves parametrize invertible sheaves together with linear subspaces of their global sections. This has been generalized to nodal curve of compact type by Eisebud-Harris and Os...
Abstract: We review some recent results from the mathematical theory of quantum transport of charge and spin in insulating crystals. The emphasis will be on transport coefficients, su...
Abstract: This talk addresses the challenges of designing high-order implicit schemes for systems of hyperbolic conservation laws, particularly in the context of stiff problems where wave speeds ...
Abstract: Quali sono i meccanismi che regolano la formazione di strutture ramificate di tipo frattale in natura? Questa domanda ha attratto nell'ultimo secolo l'attenzione di molti fisici, matematici ...
