Young Researchers Seminar in Rome Colloquia of Ph.D. students and Postdocs in Mathematics held at Sapienza, Tor Vergata and Roma Tre Universities

Young Researchers Seminar in Rome

Why giving talks?

The spirit of this initiative is above all to encourage the dialogue, the scientific discussion and the meeting between all PhD students and Postdocs, giving the opportunity to illustrate their studies to the colleagues. We believe it is stimulating that the project involves PhD students and Postdocs from all the main roman Universities, promoting the exchange of ideas and knowledge, communication and collaboration between young researchers in Mathematics of Rome. We hope we will collaborate to keep this project alive!

Next talks

Venue: Sapienza, Department of Mathematics, Sala di Consiglio

Date and time: February 25th

h 10: - 11:05

Martina Magliocca

Title: A survey on fully nonlinear parabolic problems and viscosity solutions

Abstract: The main purpose of this talk is giving an overview on the notion of viscosity solutions and fully nonlinear operators. We will see the background in which viscosity solutions have born and some of their properties. We will also discuss some of the most common techniques related to the viscosity setting, such as the Perron method. We will then focus on the fully nonlinear  parabolic setting  with superlinear lower order terms of first order. Beyond discussing existence and regularity results, we will also compare the difficulties of having powers of the gradient as source terms in the viscosity and in the weak framework.We will finally analyze the behavior of the fully nonlinear parabolic problem in object for large time. To this aim, we will introduce  the related  stationary and the ergodic problems.

h 11:05 - 11:25: Coffee break

h 11:25 - 12:30

Andam Mustafa

Title: Density related with groups of rational numbers

Abstract: I will talk about extending the partial results that already appeared in the literate regarding the densities of particular sets of primes to general setup. The ultimate goal of the presentation is to characterise subgroups of the rationals for which the above densities vanish under the assumption of the generalized Riemann hypothesis.


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