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Abstract I will start to motivate a few recent results on Poincaré series from a naive personal viewpoint. Then I will report on joint work with Yannick Bonthonneau, Matthieu Léautaud, Gabriel Rivière where we consider Poincaré series on the torus which …

Abstract We will complete the calculation of Ruelle resonances of a compact hyperbolic surface, started in the last lecture, using the representation theory of PSL(2, R). The case of principal series will be treated in detail. We'll calculate the Fourier …

Abstract The development of architectures exploiting " deep " neural learning methods in machine translation has led to a considerable increase in the acceptability and usability of machine-computed translations. These new architectures have also made it …

Abstract What current migration owes to colonization Migration " regional ", intercontinental migration Neither denial nor repentance, but facing up to our shared …

Abstract History of the discipline, recent approaches. Current challenges : cover less endowed languages ; take context into account ; be robust to linguistic …

Abstract Systems of particles are naturally described in a Lagrangian way : the unknowns (positions, velocities...) are related to the entities, numbered once and for all, and the Euclidean frame in this Lagrangian framework is very well adapted to the …

Abstract The world's poorest people face a multitude of risks, exacerbated by climate change. How are they protected ? How will they be protected in the …

Abstract From epidemics to lovesickness, both without remedy, the same imaginary of contamination and fascination circulates. This first introductory session is devoted to studying the doctrines and languages of medieval love, placing the object of study …

Abstract After recalling the ambiguous powers of literature -   which can arouse the emotions as well as spread evil   - Pierre Assouline looks back at how he reads the books he receives in the summer for the Académie Goncourt prize. First, he describes …

Documents and media Download support Abstract In his Cours de poétique , Paul Valéry explained that aesthetic feeling is what remains when everything around us has collapsed. It's a kind of aesthetic cogito, Descartes-style : not " je pense, donc je …

Abstract Over the past fifteen years, various ultra-precise photometric space missions have enriched stellar physics through asteroseismology. Listening carefully to stellar vibrations has proved to be a rich and acute tool, making it possible to …

Abstract The peaks in elemental abundance observed in the solar system correspond to magic numbers and increased core stability. Apart from the light elements formed in the Big Bang, the elements are all formed in stars, most of them off the main …

Abstract In the sixth of his Lettres philosophiques (1734), Voltaire offers an apology for the tolerance that reigns at the London Stock Exchange, where different faiths coexist peacefully : " There, the Jew, the Mohammedan and the Christian treat each …