Wednesday and Friday from 9am to 11.30am.
From November 11 to December 18, 2020
Location: FME (UPC)
Organisers: Marcel Guardia and Tere Seara
Speakers: Marcel Guardia and Tere Seara

The goal of this course is to understand the role of invariant manifolds and their intersections on the global dynamics of different models. In particular how this intersections give raise to chaotic dynamics and instability phenomena.

Poisson processes are an important class of stochastic processes featuring in many branches of probability theory. They play a central role in stochastic geometry, where one is often interested in random geometric structures constructed from underlying Poisson processes. Examples include random tessellations, geometric random graphs, Boolean models, and random polytopes.

Days: 15, 20, 23, 27, 30 april from 10h-12h aula de seminaris, IMUB

Since their introduction by Kurt Hensel in 1897, p-adic numbers have become ubiquitous in number theory, as they provide a way to use analytic techniques in arithmetic problems. These play a key role in most of modern results in number theory, such as Fermat’s Last Theorem, the known cases of the Birch and Swinnerton-Dyer conjecture, or the proof of the Sato-Tate conjecture. These lectures, aimed at a broad audience, aim to introduce several techniques that illustrate their power.

Dates: starting the week of the 23rd of March, 2020.

Institut d’Estudis Catalans

Speakers:
José Antonio Lozano (BCAM)
Gábor Lugosi (UPF)