|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.
|08/06/18||Seminario||15:30||16:30||1101 D'Antoni||Gabriele GULLÀ||Università di Roma "Tor Vergata"||Logical methods across mathematics: three examples in algebra
In this seminar I will talk about three well known examples of algebraic problems which have been engaged with logical tools (in particular set theoretic tools).
The first one, due to Patrick Dehornoy, is about the use of very high Large Cardinals Axioms to solve problems linked to Laver Tables, which are objects closely related to Braids theory.
The second one is about the study of relations among Forcing Axioms (which are extensions of Baire Category Theorem) and Operator Algebras, in particular C*-algebra problems. This field of research has particularly grown thanks to Ilijas Farah and Nick Weaver.
The last one concerns the proof (by Saharon Shelah, 1974) of the independence of Whitehead Problem (a group theory problem from the '50s) from ZFC (the usual Zermelo-Fraenkel set theory with the Axiom of Choice). In this example in particular the set theoretic ideas which are useful are the Continuum Hypothesis (which can be considered as a cardinal assumption), Martin's Axiom (a specific Forcing Axiom) and the Axiom of Constructibility which is, in a certain way, an anti-Large Cardinal axiom.
|08/06/18||Seminario||14:30||16:00||1201 Dal Passo||Leticia Brambila-Paz ||CIMAT, Guanajuato, Mexico||"Coherent systems and Butler's conjecture" (Algebraic Geometry Seminar - in the framework of the Excellence Project Math@TOV awarded to the Departement of Mathematics)
(Seminar - in the framework of the Excellence Project Math@TOV awarded to the Departement of Mathematics https://www.mat.uniroma2.it/Progetto/ ) Let (E, V) be a general generated coherent system of type (n, d, n+m) on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semistability of E to the semistability of the kernel of the evaluation map V x O_X -> E. In this talk, some results will be given about the existence of generated coherent systems and a necessary condition is given for the Butler conjecture to be satisfied.
|07/06/18||Seminario||14:30||16:00||1101 D'Antoni||Leticia Brambila-Paz ||CIMAT, Guanajuato, Mexico||"Moduli Spaces" (Department Seminar - in the framework of the Excellence Project Math@TOV awarded to the Departement of Mathematics)|
(Department Seminar - in the framework of the Excellence Project Math@TOV awarded to the Departement of Mathematics https://www.mat.uniroma2.it/Progetto/)
The concept of 'moduli space' arises in connection with classification problems. The basic ingredients of a classification problem are a collection of objects A and an equivalence relation * on A. We would like to give A/* a structure that reflects how the objects vary in families. In this talk I will explain the concept of moduli spaces with some examples and see how the study of some moduli spaces gives an interaction with different areas of mathematics like algebraic geometry, differential geometry, topology, representation theory etc., and also with other disciplines like theoretical physics.