Settimana 11/09/2023 - 15/09/2023

 

• Seminari

• Eventi

• Archivio Bollettini

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Seminari

 

Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

DIFFERENTIAL EQUATIONS SEMINAR

Date: Tuesday 12th September

Schedule: 14:30 - Rome Time

Where: Conference Room "R. Dal Passo"

Title: " Sharp exponential decay at infinity for solutions to the perturbed Dirac equation "

Speaker: Biagio Cassano (Università delle Campania “Luigi Vanvitelli")

Abstract: We determine the largest rate of exponential decay at infinity for non-trivial solutions to the stationary Dirac equation in presence of a (possibly non-Hermitian) matrix-valued perturbation V such that |V (x)| ∼ |x|^(−ε) at infinity, for −∞ < ε < 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.

Organizing Committee:
Riccardo Molle (mail to contact)
Alfonso Sorrentino (mail to contact)

Further Info: Click here

Streaming Link (MS Teams): This seminar will be held in person

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

COMPLEX ANALYSIS SEMINAR

Date: Thursday 14th September

Schedule: 14:00 - Rome Time

Where: Conference Room " C. D'Antoni "

Title: " Spectra of invertible weighted composition operators (on D) of hyperbolic symbol "

Speaker: Jesús Oliva-Maza (Universidad de La Rioja)

Abstract: Weighted composition operators, i.e., operators of the form (uCψf )(z) = u(z)f (ψ(z)) for holomorphic u : D → C, ψ : D → D, play an important role in the study of Banach spaces of holomorphic functions on the unit disc D. For instance, all surjective isometries on Hardy spaces and weighted Bergman spaces are given by {(φ′)γ Cφ | φ : D → D automorphism}, for a parameter γ > 0 depending on the space. Properties of such operators, such as norm, compactness, spectra, etc., have been thoroughly studied through the last decades. In particular, the spectrum of invertible weighted composition operators uCφ is known (under mild assumptions on u) in the case the automorphism φ of D is either elliptic or parabolic. If φ is hyperbolic, there are only partial results about the spectrum of uCφ. In this talk, we present an ongoing work where we obtain the spectrum of an invertible uCφ with φ hyperbolic. Therefore, such a result completes the spectral description of invertible weighted composition operators (again, under mild assump- tions on u). The key of our work is the following remarkable finding: for each in- vertible uCφ with φ hyperbolic, there exists a one-parameter group (utCφt )t∈R such that u1Cφ1 = uCφ.

Organizing Committee:
Filippo Bracci (mail to contact me)
Leandro Arosio (mail to contact me)

Further Info:
Click here for Seminar Webpage
Click here for Scientific Area Webpage

Streaming Link (MS Teams): This seminar will be held in person

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Università degli Studi Roma Tor Vergata
Dipartimento di Matematica

 

RoMaDS - Rome Centre on Mathematics for Modelling and Data ScienceS SEMINAR

Date: Friday 15th September

Schedule: 14:00 - Rome Time

Where: Conference Room " Gismondi (aka Aula Magna) "

Title: " Workshop: A day on Statistical Physics for Machine Learning "

Speaker:
Andrea Agazzi (University di Pisa)
Elena Agliari (University of Rome La Sapienza)
Giulio Biroli (École normale supérieure - Paris)
Matthieu Wyart (École Polytechnique Fédérale de Lausanne)
Riccardo Zecchina (Università Bocconi)

For Abstracts of speaker's workshop see this Webpage: Click here
Registration: click herefor registration page.

• Poster: click here for download

Organizing Committee:
Domenico Marinucci (mail to contact me)
Michele Salvi (mail to contact me)
Stefano Vigogna (mail to contact me)

Further Info:
Click here for Workshop Webpage
Click here for RoMaDS Webpage

Streaming Link (MS Teams): This seminar will be held in person

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Eventi