30/10/18  Seminario  16:00  17:00  1101 D'Antoni  Uros Kuzman  University of Ljubljana  On Poletsky theory of discs in compact (almost) complex manifolds
We provide a direct construction of Poletsky discs via local
arc approximation and a Rungetype theorem. That is, we will discuss
approximation of nonholomorphic maps in almost complex manifolds and a
certain Okatype result by A. Gournay. 
24/10/18  Seminario  14:30  15:30  1201 Dal Passo  Mikhail Zaidenberg  Institut Fourier, Grenoble (France)  FanoMukai fourfolds of genus 10 and their automorphism groups (Algebraic Geometry Seminar, in the framework of Research Project "Families of curves: their moduli and their related varieties"  Mission Suistanability Tor Vergata, CUP: E8118000100005, Principal Investigator Flaminio Flamini)
The celebrated Hirzebruch Problem asks to describe all possible smooth compactifications of C^n with second Betti number 1. Projective completions of C^n $ are Fano varieties; in dimension at most 3 they are all known (Remmertvan de Ven, BrentonMorrow, Peternell, Prokhorov, Furushima). It occurs that any variety in the title provides a new example in dimension 4. These varieties form a 1parameter family. The group Aut^0(V) of a general member V of this family is isomorphic to the algebraic 2torus (C^*)^2. There are two exceptional members of the family with ${
m Aut}^0(V)$ equal GL(2, C} and C x C^*, respectively. The discrete part of the automorphism group Aut(V) is a finite cyclic group. To compute Aut(V) we use three different geometric realizations of Aut(V). The talk is based on a joint work with Yuri Prokhorov
[Algebraic Geometry Seminar, in the framework of Research Project "Families of curves: their moduli and their related varieties"  Mission Suistanability Tor Vergata, CUP: E8118000100005, Principal Investigator Flaminio Flamini] 
22/10/18  Seminario  16:00  17:00  1201 Dal Passo  Layla SORKATTI  AlNeelain University, Khartoum  Symplectic alternating algebras
We first give some general overview of symplectic alternating algebras and then focus in particular on the structure and classification of nilpotent symplectic alternating algebras.
N.B.: this talk is part of the activity of the MIUR Excellence Department Project CUP E83C18000100006 
10/10/18  Seminario  16:00  17:00  1201 Dal Passo  Alexander Stottmeister  Roma "Tor Vergata"  Operator algebras, lattice gauge theory, and renormalization
We will discuss an operatoralgebraic approach to lattice gauge theory and its relation to a recent construction by Jones of representations of the Thompson group. Furthermore, we will outline a framework of rigorous renormalization group theory and scaling/continuum limits in this context.

02/10/18  Seminario  14:30  15:30  1201 Dal Passo  Antonio Marigonda  Universita' di Verona  A Bolza problem for multiagent systems
A multiagent system is a system in the finitedimensional Euclidean space where the number of possibly interacting agents is so large that only a statistical description of the state of the system is actually available. A common way to model such kind of systems is to describe the state of the system at time t by mean of a Borel measure m_t where, for each Borel subset A of R^d, the quotient m_t(A)/m_t(R^d) represents the fraction of the total number of agents that are present in the set A at time t over the total number of agents. In the case where neither creation nor destruction of agents are allowed, we normalize the total mass to the constant 1, thus m_t becomes a timedepending probability measure. We consider such a system subject to a centralized controller aiming to minimize a cost function of Bolza type. We formulate the minimization problem as a problem for a dynamics in the Wasserstein space represented by a controlled continuity equation describing the macroscopical evolution of the system. We prove that the value function V of the problem solves a HamiltonJacobi equation in the Wasserstein space in a suitable viscosity sense, and prove a comparison principle for such an equation, thus characterizing V as the unique viscosity solution of the HamiltonJacobi equation associated to the problem. 
24/09/18  Seminario  14:30  15:30  1101 D'Antoni  Pramod N. ACHAR  Louisiana State University 
The Humphreys conjecture on support varieties of tilting modules
Let G be a reductive algebraic group over a field of positive characteristic. This talk is about geometric invariants of representations of G. Given a finitedimensional Grepresentation V, classical results of AndersenJantzen and FriedlanderParshall make it possible to associate to V a certain subset of the nilpotent elements in the Lie algebra of G, called the "support variety of V". About 20 years ago, Humphreys proposed a conjectural description of the support variety for an important class of modules called tilting modules. I will discuss recent progress on this conjecture. This is joint work with William Hardesty and Simon Riche.
N.B.: this talk is part of the activity of the MIUR Excellence Department Project CUP E83C18000100006 
12/09/18  Seminario  16:00  17:00  1201 Dal Passo  Yasuyuki Kawahigashi  University of Tokyo  Relative boundarybulk duality and orbifold subfactors.

11/09/18  Seminario  14:30  15:30  1201 Dal Passo  Gershon Wolansky  Department of Mathematics, Technion  Israel Institute of Technology, Haifa 32000, Israel  From optimal transportation to optimal teleportation
I will review basic concepts from optimal transportation theory, and introduce some limit theorems which reveal some connections between different metrics on measure spaces. Among possible application are new models for congested traffic.

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 selfcontained proof of previously known results. To this end, we introduce the socalled Sphere Covering Inequality.

18/07/18  Seminario  15:00  15:45  1201 Dal Passo  Youngae Lee  Kyungpook National University (South Korea)  Existence of nontopological solutions in the SU(3) ChernSimons model
We consider nontopological solutions of a nonlinear elliptic system problem derived from the SU(3) ChernSimons models. The existence of nontopological solutions even for radial symmetric case has been a long standing open problem. Recently, Choe, Kim, and Lin showed the existence of radial symmetric nontopological 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 nontopological solutions. 