Nearby events

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IST Distinguished Lecture

16/12/2017 17:30 Departamento de Física, Instituto Superior Técnico, Lisboa Locate in map

Landau damping: old and new
Clément Mouhot

The celebrated and mysterious Landau damping predicts relaxation of the kinetic distribution of a classical collisionless plasma, without any diffusion or irreversibility. Similar predictions were later proposed in galactic dynamics by Lynden-Bell. For more than sixty years, Landau damping has been treated exclusively for the linearized model, with the exception of very partial results. In a collaboration with Villani (2011), Clément opened the door to the study of Landau damping in nonlinear dynamics, uncovering links with the KAM theory and plasma echoes. Novel developments in the last 6 years, and in particular unexpected connexions to incompressible fluid dynamics, will be discussed.

Clément Mouhot is Professor of mathematical sciences at the University of Cambridge and Fellow of the King’s College, Cambridge. He received his Ph.D. in 2004 from École Normale Supérieure de Lyon, under the supervision of Cédric Villani, and was then a researcher at the CNRS (Centre National de la Recherche Scientifique, France) until 2010, associated with Université Paris-Dauphine and École Normale Supérieure de Paris.

His main research interest is the rigorous study of partial differential equations in kinetic theory. He has published around 50 papers in specialized mathematical journals, as well as several popularisation papers. His paper "On Landau damping" with Villani (published in 2011) was quoted in the Fields Medal laudation of Villani in 2010. He was awarded two ERC grants (2011 and 2017) and several prizes from the London Mathematical Society in 2013, the french Académie des Sciences in 2014, and the University of Cambridge in 2016. He is Associate Editor of several journals, including Journal of Statistical Physics, Communications in Mathematical Physics and Archive for Rational Mechanics and Analysis.

@ Salão Nobre, Instituto Superior Técnico.

Symposium on Big Data in finance, retail and commerce — Statistical and Computational Challenges

02/11/2017 — 03/11/2017 Universidade de Lisboa (CEAUL) Locate in map

The objective of the symposium is to present new approaches to deal with Big Data Applications in finance, retail and commerce bringing together professionals from companies in these areas and researchers who generate sound methods and tools to handle such data. It is hoped that such an interaction may help in understanding the new needs and trends in the emerging field of Data Sciences.

Axiomatic Thinking

11/10/2017 09:00 — 14/10/2017 Academia das Ciências de Lisboa Locate in map

100 years ago, in 1917 David Hilbert gave his seminal talk Axiomatisches Denken at a meeting of the Swiss Mathematical Society in Zurich. It marks the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to Göttingen as his main collaborator in foundational studies in the years to come.

The aim of this conference is to reevaluate the success of Hilbert's axiomatic method which did not only lay the foundations for the understanding of modern mathematics, but which also found its way in many applications, first of all - and as vividly advocated by Hilbert - in Physics. Even for the seemingly negative results, as in the case of Gödel's incompleteness theorems, it were Hilbert's sharply posed questions which opened up completely new and unexpected perspectives for our understanding of Mathematics.

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