12/09/23  Seminario  14:30  15:30  1201 Dal Passo  Biagio Cassano  Università delle Campania “Luigi Vanvitelli  Seminario di Equazioni Differenziali
Sharp exponential decay at infinity for solutions to the perturbed Dirac equation
We determine the largest rate of exponential decay at infinity for nontrivial solutions to the stationary Dirac equation in presence of a (possibly nonHermitian) matrixvalued perturbation V such that V(x) goes as x^(e) at infinity, for infty < e < 1. Also, we show that our results are sharp for n=2,3, providing explicit examples of solutions that have the prescribed decay, in presence of a potential with the related behaviour at infinity. In this sense, our work is a result of unique continuation from infinity for the Dirac operator.
NB:This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C23000330006 
14/07/23  Seminario  15:00  16:00  1201 Dal Passo  Timothy Rainone  Occidental College, Los Angeles, CA 
Seminario di Algebre di Operatori
The Matricial Field property in crosssectional C*algebras
Blackadar and Kirchberg introduced the notion of a Matricial Field (MF) C*algebra; an algebra is MF if it can be embedded into a corona of matrix algebras. We will discuss this property in crossedproducts arising from C*dynamical systems and more generally in crosssectional C*algebras constructed from Fell bundles. The C*analogue of Connes' embedding conjecture is the BlackadarKIrchberg Question (BKQ) which asks whether every stablyfinite algebra admits the MF property. Using Ktheoretic techniques we can answer this question in the affirmative for certain crossed products of classificable algebras by free groups. 
10/07/23  Seminario  14:30  15:30  1201 Dal Passo  Juan J. Manfredi  University of Pittsburgh  Seminario di Equazioni Differenziali
Asymptotic mean value expansions for solutions of general elliptic and parabolic equations
The classical mean value property characterizes harmonic functions. It can be extended
to characterize solutions of many linear equations. We will focus in an asymptotic form of
the mean value property that characterizes solutions of nonlinear equations. This question
has been partially motivated by the connection between Random TugofWar games and the
normalized pLaplacian equation discovered some years ago, where a nonlinear asymptotic
mean value property for solutions of a PDE is related to a dynamic programming principle
for an appropriate stochastic game. Our goal is to show that an asymptotic nonlinear mean
value formula holds for several types of nonlinear elliptic equations.
Our approach is flexible and allows us to consider several families of operators obtained
as an infimum, a supremum, or a combination of both infimum and supremum, of linear
operators. We study both when the set of coefficients is bounded and unbounded (each
case requires different techniques). Examples include Pucci, Issacs, MongeAmpere, and
kHessian operators and some of their parabolic versions.
This talk is based in joint work with Pablo Blanc (Buenos Aires), Fernando Charro
(Detroit), and Julio Rossi (Buenos Aires). 
04/07/23  Seminario  14:30  15:30  1201 Dal Passo  Gabriele Benomio  Princeton University (USA)  Seminario di Equazioni Differenziali
Nonlinear stability and instability in the analysis of the Einstein equations
The Einstein equations are the governing equations of general relativity and admit an initial value formulation as a system of nonlinear wave equations. The talk will present some stability and instability results for stationary (black hole) solutions to such evolution equations, enlightening interesting connections between the dynamics of solutions and the number of dimensions considered. No prior exposure to general relativity will be assumed.
Note:
This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (20232027)

27/06/23  Seminario  14:30  15:30  1201 Dal Passo  Wei Cheng  Nanjing University (China)  Seminario di Equazioni Differenziali
Propagation of singularities & minimizing movement
There are various notions of singular characteristics in the theory of propagation of singularities to viscosity solutions. In this talk, we will discuss a variational construction of generalized characteristics and strict singular characteristics. We proved the solution of generalized characteristics can be constructed in an intrinsic way using the idea of minimizing movements and certain process of homogenization. Moreover, the relation between the strict singular characteristics and the EDIEVI frame of gradient flow was also discussed. These results bridge various different topics such as Hamiltonian dynamical systems, weak KAM theory, cut locus in geometry, homogenization and gradient flow theory.
This talk is based on our latest work with Piermarco Cannarsa, Jiahui Hong and Kaizhi Wang.
Note:
This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (20232027)

20/06/23  Seminario  14:30  15:30  1201 Dal Passo  Loredana Lanzani  Università di Bologna  Seminario di Equazioni Differenziali
Applications of the CalderònZygmund theory to holomorphic singular integrals
See the attached
pdf file
Note:
This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (20232027) 
15/06/23  Seminario  16:00  17:00  1201 Dal Passo  Cecilia Gonzalez Tokman  University of Queensland  Quenched limit laws and thermodynamic formalism for random dynamical systems
Nonautonomous or random dynamical systems (RDS) provide useful and flexible models to investigate systems whose evolution depends on external factors, such as noise and seasonal forcing. Modern developments on multiplicative ergodic theory and transfer operators allow us to get useful insights into the longterm behavior of these systems. In this talk, we will present results in this direction, including (quenched) limit theorems and thermodynamic formalism for a class of RDS. Our results will be illustrated with examples, including random open and closed intermittent maps and nontransitive systems. This talk is based on collaborations with J. Atnip, D. Dragicevic, G. Froyland and S. Vaienti.

09/06/23  Seminario  16:00  17:00  1201 Dal Passo  Alessandro ZAMPINI  Università di Napoli "Federico II" 
Algebra & Representation Theory Seminar (ARTS)
"Derivation based differential calculus for a class of noncommutative spaces"
N.B.: partially supported by the MIUR Excellence Department Project MatMod@TOV awarded to the Department of Mathematics, University of Rome "Tor Vergata"
After a general introduction on differential calculi on noncommutative spaces, we equip a family of algebras whose noncommutativity is of Lie type with a derivation based differential calculus obtained, upon suitably using both inner and outer derivations, as a reduction of a redundant calculus over the Moyal four dimensional space. 
09/06/23  Seminario  14:30  15:30  1201 Dal Passo  Rosanna LAKING  Università di Verona 
Algebra & Representation Theory Seminar (ARTS)
"Cosilting complexes and asymptotic triangulations of the annulus"
N.B.: partially supported by the MIUR Excellence Department Project MatMod@TOV awarded to the Department of Mathematics, University of Rome "Tor Vergata"
In 2014 Baur and Dupont introduced the notion of an asymptotic triangulation. This is a combinatorial object arising naturally from the combinatorics of cluster algebras of type Ã. They showed that the set of all asymptotic triangulations has an interesting combinatorial structure: it is a poset and the edges of the Hasse graph can be obtained by flipping the asymptotic arcs. In this talk I will explain how this set parametrises certain 2term complexes in derived category of a finitedimensional algebra called a clustertilted algebra of type Ã and that the flip operation corresponds to a mutation operation.
This is joint work with L. Angeleri Hügel, K. Baur and F. Sentieri.

07/06/23  Seminario  16:00  17:00  1201 Dal Passo  Claudio Dappiaggi  Univerità di Pavia 
Seminario di Algebre di Operatori
Stochastic Partial Differential Equations and Renormalization à la EpsteinGlaser
We present a novel framework for the study of a large class of nonlinear stochastic partial differential equations, which is inspired by the algebraic approach to quantum field theory. The main merit is that, by realizing random fields within a suitable algebra of functionalvalued distributions, we are able to use specific techniques proper of microlocal analysis.These allow us to deal with renormalization using an EpsteinGlaser perspective, hence without resorting to any specific regularization scheme. As a concrete example we shall use this method to discuss the stochastic Phi^3_d model and we shall comment on its applicability to the stochastic nonlinear Schrödinger equation. 