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Abstract The goal of this talk is to showcase how we can use stochastic processes to study the geometry of surfaces. More precisely, we use the Brownian loop measure to express the lengths of closed geodesics on a hyperbolic surface and zeta-regularized …

Abstract The Homeric Hymn to Demeter depicts the goddess' anger at the abduction of her daughter by Hades, with Zeus' consent. The poem is fully in keeping with the theme of sacrificial culture : the strike by Demeter, withdrawn to her temple at Eleusis, …

Abstract Combinatorial maps are discrete surfaces obtained as gluings of polygons. The first enumerative results about them were obtained by Tutte in the 1960's. During the 1980-90's, they were intensively studied in theoretical physics (under various …

Abstract As the principal judicial organ of the United Nations, the International Court of Justice occupies a unique place in the landscape of international institutions and jurisdictions. It is the only universal international court with general …

Abstract In this talk, I will explain how Witten, at the beginning of the 1990's, computed the symplectic volume of the moduli space of flat connections on a principal bundle over a closed compact surface. Witten's main idea was to approximate the …

Abstract Random geometry involves calculating expectations and probabilities on random geometric objects, typically surfaces (hyperbolic surfaces, discrete surfaces, surfaces immersed in a target space, or carrying certain fields, etc.) Remarkably, the …

Abstract In this talk I will present several random image models that are else explicit (such as Gaussian models or Boolean models for instance), or more "implicit" (such as images generated by a neural network). I will discuss how these models are used …

Abstract Some geometrical and topological features of the excursions of smooth random fields will be presented, such as their expected Lipschitz-Killing curvatures. The concerned random fields will be Gaussian or Gaussian based, but also shot-noise fields …

References to works cited in the lecture Oswald de Andrade, Manifeste anthropophage , Dijon, Les presses du réel, 2011 [1928]. David Armitage, The Declaration of Independence: A Global History , Cambridge (MA), Harvard University Press, 2009. Jean …

Abstract The talk will first introduce unimodular random graphs and give several examples from the theory of point processes, branching processes, random walks and self-similar discrete random sets. Several types of results on these graphs will then be …

Abstract Why recount the world if not to restore it each time and transpose it  ? Even the cruellest works carry within them, by the very fact of their writing, an act of generosity. Writing to repair, to patch up, to put amputations back together and …

Abstract How writing, even the cruellest, carries the seeds of love. Passing on wounds. Transmitting them again. Speaking the words of others. Write "   for   ". "   Pour   " in the sense of "   à l'adresse de   " but also in the sense of "   à la place …

Lecture outline : Curry-Howard   ; gentzen's natural deduction   ; inductive definitions following Martin-Löf   ; algebraic presentation of type theory and term model as initial model   ; some examples of models, in particular the set model and prefix …

Abstract Some soldiers are particularly well known to us, like General Yasim-El. But lesser officers, such as Yamṣum, also wrote enough letters to allow us to sketch a portrait. Finally, we'll see how ordinary soldiers escaped …

Abstract We are not all equal when it comes to infections. Thanks to recent advances in genomics and data science, it is now possible to imagine a more precise medicine, better adapted to individual needs, also in the field of infectious diseases. From …

Abstract This lecture will be devoted to the presentation of discoveries concerning the genetic causes of monogenic diseases, with emphasis on mutations responsible for serious pathologies. It will recall Mendelian principles of trait transmission, with …

Abstract Types of regulatory landscapes. Analysis of chromatin architectures at the single-cell level using super-resolution microscopy. In this fifth   lesson, different types of topological organization of enhancers are described, in particular those …