|24/09/18||Seminario||14:30||15:30||1101 D'Antoni||Pramod N. ACHAR||Louisiana State University|| TBA
|18/07/18||Seminario||16:00||16:45||1201 Dal Passo||Aleks Jevnikar||Università di Pisa||Uniqueness results for singular Liouville equations.|
We discuss uniqueness aspects for solutions to Liouville equations. We start by giving an overview of the known results. Then, we present some recent results as well as a new self-contained proof of previously known results. To this end, we introduce the so-called Sphere Covering Inequality.
|18/07/18||Seminario||15:00||15:45||1201 Dal Passo||Youngae Lee||Kyungpook National University (South Korea)||Existence of non-topological solutions in the SU(3) Chern-Simons model|
We consider non-topological solutions of a nonlinear elliptic system problem derived from the SU(3) Chern-Simons models. The existence of non-topological solutions even for radial symmetric case has been a long standing open problem. Recently, Choe, Kim, and Lin showed the existence of radial symmetric non-topological solution when the vortex points collapse. However, the arguments in that paper cannot work for an arbitrary configuration of vortex points. In this talk, I introduce a new approach by using different scalings for different components of the system to construct a family of partial blowing up non-topological solutions.
|17/07/18||Colloquium||11:00||12:00||1201 Dal Passo||Gigliola STAFFILANI||MIT (Boston)||The many faces of dispersive equations (EMS Lecture) |
In recent years great progress has been made in the study of dispersive and wave equations. Over the years the toolbox used in order to attack highly nontrivial problems related to these equations has developed to include a variety of techniques from Fourier and harmonic analysis, analytic number theory, mathematical physics, dynamical systems, probability and symplectic geometry. In this talk I will introduce a variety of problems connected with dispersive and wave equations, such as the derivation of a certain nonlinear Schrodinger equations from a quantum many-particles system, periodic Strichartz estimates, the concept of energy transfer, the invariance of a Gibbs measure associated to an infinite dimension Hamiltonian system and non-squeezing theorems for such systems when they also enjoy a symplectic structure.
|13/07/18||Seminario||12:00||13:00||1101 D'Antoni||Sara Malacarne||University of Oslo||Martin boundary of the dual of a free unitary quantum group
Given a free unitary quantum group G different from the one defined by the unit ary 2 by 2 matrix, we show that the Martin boundary of hat G with respect to any finite range nondegenerate G and hat G-invariant quantum random walk coincides with the topological boundary defined by Vander Vennet and Vaes. This can be thought as a quantum analogue of the fact that the Martin boundary of a free group coincides with its Gromov boundary.
(Joint work with Sergey Neshveyev.)
|11/07/18||Seminario||16:00||17:00||1201 Dal Passo||Eduardo Testé||Instituto Balseiro, Bariloche / University of California Santa Barbara||The entropic c-theorems and vacuum Modular Hamiltonian and entropies for regions with arbitrary boundary on the light-cone|
I will present the explicit expressions for the vacuum Modular Hamiltonian and Rényi/von Neumann entropies for spacetime regions with arbitrary boundary on the light-cone. For these regions, it is shown the vacuum of any CFT saturates the strong subadditivity inequality (Markov property of the vacuum). This is the key ingredient to extend the entropic proof of the c theorems in two and three dimensions to the case of four dimensions (A-theorem). I will show the main ideas and tools used these proofs.
|19/06/18||Seminario||14:30||15:30||1201 Dal Passo||Patrick Martinez||Universite' Toulouse III||Inverse problems for energy balance models in climate science|
|15/06/18||Seminario||11:00||12:00||1201 Dal Passo||Patrick Martinez||Universite' Toulouse III||Control cost for degenerate parabolic equations|
|12/06/18||Seminario||16:00||17:00||1101 D'Antoni||Yaacov Kopeliovich||University of Connecticut||Thomae formulas for general Abelian covers of CP^1|
100 years and a change: Thomae designed a formula
calculating certain value of theta functions as polynomial up to a
constant. I will explain the generalization of these formulas for
General Abelian Covers.
|08/06/18||Seminario||17:00||18:00||1101 D'Antoni||Jacinta TORRES||KIT - Karlsruher Institut für Technologie||Kostant Convexity and the Affine Grassmannian
We present some ideas and results towards a building-theoretical affine Grassmannian. One of our aims is to substitute many proofs carried out using relations in the Kac-Moody group using certain retractions. This is joint work in progress with Petra Schwer.