Dear colleagues,

We are happy to announce the following *hybrid - that is, in person with online streaming - *talks:

Speaker: *Eliseo Luongo* (SNS Pisa) *Title:* A stochastic particle approximation approach of the 2D Navier-Stokes equations with vorticity generation. (See Abstract below.)

Speaker: *Francesco Grotto *(Univ. di Pisa) *Title:* Area Excursions and nodal Leray measures for Random Waves on hyperbolic space. (See Abstract below.)

Date and Time: *Monday January 23, 14:30-16:30 (Rome time zone)*

Place: *Aula 3014,* *Dip. di Matematica e Applicazioni, Univ. di Milano-Bicocca*, via R. Cozzi 55, Milano

*Webex link:https://unimib.webex.com/unimib-it/j.php?MTID=m4a814f4cfe7e7a7ace5ef5e4d3f67... https://unimib.webex.com/unimib-it/j.php?MTID=m4a814f4cfe7e7a7ace5ef5e4d3f67a2f*

*Meeting number:* 2743 324 2093

*Password:*YPiMid9rP83

*-* *Abstract (Luongo)*: Particle approximation of 2D Navier-Stokes equations is a relevant problem in fluid dynamics with consequences also in its numerical analysis. The problem is essentially solved in the case of domains without boundary, but it remains mostly open in the case of no-slip boundary conditions, due to the difficulty of understanding and modeling generation of vorticity close to the boundary. The solution of this problem could have a deep impact in our understanding of turbulence. In this talk we present a stochastic particle approximation method which allows us to treat 2D Navier-Stokes equations in the case of prescribed vorticity generation. Our approach is almost completely functional analytic based. Moreover we obtain finer convergence results to the solution of the Navier-Stokes equations compared to propagation of chaos techniques. The talk is based on a joint work with F. Grotto and M. Maurelli.

*Abstract (Grotto):* Focusing on the asymptotic behavior of a couple of relevant geometric functionals, we will discuss analogies and differences between random wave models on hyperbolic space and other geometric settings on which the related theory is by now well-established. Based on joint work with Giovanni Peccati. -

These talks are part of the *(PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics* organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico.

Participation is free and welcome!

Best regards The organizers (Carlo Orrieri, Maurizia Rossi, Margherita Zanella)