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…
Eventi
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…
An introduction to Khovanov homology – Laura Marino (Institut de Mathématiques de Jussieu)
Introduced around 2000, Khovanov homology marked the start of a new field of study in knot theory. It was born as a “categorification” (or generalisation) of the Jones polynomial, a classical link invariant, but it proved to be more than just that…
ProSTEAM Pisa Meeting
The homology cobordism group – Oğuz Şavk (Stanford University / Boğaziçi University)
Since the 1980s, the homology cobordism group has been a
central object in the development of low-dimensional topology. …
Generic properties of billiards on bodies – João Lopes Dias (ISEG, University of Lisbon)
We will talk about generic properties of multidimensional billiards. In particular, we will discuss the proof of the existence of a C2 dense set of convex bodies whose billiard maps have positive topological entropy. …
Critical points at prescribed energy levels – Gaetano Siciliano (Univ. San Paulo, Brazil)
In this talk, we discuss the existence of critical points for a family of abstract and smooth functionals on Banach spaces under the energy constraint. By using the Ljusternick-Schnirelmann theory and the fibering method of Pohozaev we show, under…