The attractor of any piecewise affine contraction is either a finite set or a Cantor set. It is known that the former case occurs generically, both in metric and topological sense. In this talk we present recent results regarding the Hausdorff…

# Eventi

## Hilbert-Kunz density function and its applications to some Hilbert-Kunz multiplicity conjectures – Vijaylaxmi Trivedi (Tata Institute of Fundamental Research, India)

In this talk we introduce a compactly supported and real valued continuous function called Hilbert-Kunz (HK) density function. We briefly describe its properties and its applications to study characteristic p-invariants like HK multiplicity and F…

## On finite presentation for the tame fundamental group – Vasudevan Srinivas (Tata Institute of Fundamental Research, India)

This is a report on joint work with H. Esnault and M. Schusterman.Recall that the étale fundamental group of a variety over an algebraically closed field of characteristic 0 is known to be a finitely presented profinite group; this is proved by…

## An introduction to higher rank Teichmüller theory – Andrea Tamburelli (University of Pisa)

For more information about this event, visit our website.…

## A “matching strategy” for optimal control problems with PDEs as constraints – Santolo Leveque (Scuola Normale Superiore, Pisa)

Saddle-point systems arise quite often in many areas of scientific computing. For instance, this type of system can be found in computational fluid dynamics, constrained optimization, finance, image reconstruction, and many more scientific…

## Hyperplane arrangements, monodromy via deformation theory, and stability conditions – Michael Wemyss (University of Glasgow)

The infinite hyperplane arrangements associated to affine Dynkin diagrams (and their associated braid groups) are fundamental throughout mathematics. I will explain a variation on this, which allows us to produce many more arrangements. Whilst these…

## Modelli booleani e come fascificarli – Moreno Pierobon (Università di Pisa)

I modelli booleani sono strutture in cui i valori di verità degli enunciati sono elementi di un’algebra di Boole (tipicamente infinita). Nati come approccio alla tecnica del forcing, essi sono anche un valido strumento per costruire nuove strutture…

## The Heisenberg category of a category – Ádám Gyenge (Alfréd Rényi Institute of Mathematics)

The Heisenberg algebra associated with a lattice is a much-investigated object originating in quantum theory. Khovanov introducedrecently a categorification of the infinite Heisenberg algebraassociated with the free boson or, equivalently, a rank 1…

## Atmospheric circulation compounds anthropogenic warming and its impacts in Europe – Davide Faranda (LSCE IPSL)

The thermodynamic effects of the global-mean anthropogenic warming on the climate system are well documented. However, diagnosing dynamical changes such as those in atmospheric circulation patterns, remains challenging — all the more when focusing…

## Existence of optimal shapes in optimal control theory – Idriss Mazari (Université de Paris Dauphine)

In this talk, we present several recent contributions (in collaboration with G. Nadin and Y. Privat) on the question of the existence of optimal shapes in optimal control theory for bilinear models. Motivated by applications in spatial ecology, we…