Institut Henri Poincaré
Bande Annonce Le Graveur de mathématiques - Documentaire
updated
Organisé par :
- Rosario Fazio (ICTP)
- Thierry Giamarchi (University of Geneva)
- Anna Minguzzi (LPMMC, University Grenoble-Alpes, CNRS)
- Patrizia Vignolo (InPhyNi, University Côte d’Azur, CNRS)
Retour en vidéo sur ce programme dédié aux systèmes quantiques à plusieurs corps hors d'équilibre.
Les systèmes quantiques à plusieurs corps sont d'une complexité redoutable, qui croît de manière exponentielle avec la taille des systèmes. Il a été l’occasion, pour les chercheuses et les chercheurs, d’élargir leur vision d’une discipline qui ne cesse de se complexifier.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Par Matteo Barsuglia (APC-CNRS)
Résumé : En 1916, Einstein prédisait l'existence des ondes gravitationnelles, des petites vibrations du tissu de l'espace-temps, conséquence de la théorie de la relativité générale. Un siècle plus tard, le 14 septembre 2015, les instruments LIGO détectaient pour la première fois une onde gravitationnelle produite par la fusion de deux trous noirs à un milliard d’années-lumière de la Terre. Depuis, les détecteurs LIGO aux États-Unis et Virgo en Europe ont détecté une cinquantaine de sources d'ondes gravitationnelles avec des résultats majeurs pour l'astrophysique et la physique fondamentale. Cette conférence racontera l'aventure des premières détections des ondes gravitationnelles, fera un bilan des premières années de l’astronomie des ondes gravitationnelles et tentera de décrire les réponses que cette nouvelle discipline pourrait nous apporter dans les prochaines années.
Webconférence grand public par Matteo Barsuglia, directeur de recherche CNRS au Laboratoire Astroparticule et Cosmologie (CNRS et Université de Paris).
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
Abstract: Quasinormal modes in the ringdowns are powerful probes for testing the behaviour of strong-field gravity around the black holes. In this talk, first, I want to quickly review the tests of gravity that are being done using the binary black-hole quasi-normal modes currently. Then I will discuss some possible tests of gravity that can be performed using the next-generation detectors using the quasi-normal modes.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
----------------------------------
Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
----------------------------------
Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Meeting of the National Research Group on Gravitational Waves
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Abstract: I will define a Floer complex associated to a pair of transverse Lagrangian cobordisms in the symplectization of a contact manifold, by a count of SFT pseudo-holomorphic discs. Then I will show that this complex is endowed with an A_\infty structure. Moreover, I will describe a continuation element in the complex associated to a cobordism L and a small transverse push-off of L.
Joint work with Chris Woodward.
Abstract: A multiple cut operation on a symplectic manifold produces a collection of cut spaces, each containing relative normal crossing divisors. We explore what happens to curve count-based invariants when a collection of cuts is applied to a symplectic manifold. The invariant we consider is the Fukaya algebra of a Lagrangian submanifold that is contained in the complement of relative divisors. The ordinary Fukaya algebra in the unbroken manifold is homotopy equivalent to a `broken Fukaya algebra' whose structure maps count `broken disks' associated with rigid tropical graphs. Via a further degeneration, the broken Fukaya algebra is homotopy equivalent to a `tropical Fukaya algebra' whose structure maps are sums of products over vertices of tropical graphs.
Joint work with John Baldwin and Ying Hu.
Abstract: In this talk I will outline a proof that Khovanov homology detects the (2,5) torus knot. The proof makes use of deep results in Floer homology and many recent developments in Khovanov homology and homotopy, but, perhaps surprisingly, it does not require us to know that knot Floer homology detects T(2,5).
Abstract: In dimension 3, every contact structure is supported by an open book decomposition. When the structure is overtwisted one can strengthen the statement and have an OBD with genus-zero pages. For tight structures, there are many examples of OBD with genus-one pages, and Etnyre asked around 2006 whether it always exists. The question is still open. I will discuss a parallel and related question, for Anosov flows instead of contact structures. I will explain some constructions of genus-one OBD, and report on a partial result for OBD with genus-two pages (with the assistance of a computer).
Joint work with Alberto Abbondandolo and Christian Lange.
Abstract: A closed connected contact manifold is called Besse when all of its Reeb orbits are closed, and Zoll when furthermore all Reeb orbits have the same minimal period. In this talk, I will present a recollection of recent results/work in progress on the subject:
- It is known that Besse contact 3-spheres are strictly contactomorphic to rational ellipsoids. In higher dimensions, the analogous statement is open. Nevertheless, I will show that at least those contact (2n-1)-spheres that are convex hypersurfaces in symplectic vector spaces still "resemble" a rational ellipsoid. This is joint work with Marco Radeschi.
- Inspired by recent results on the systolic optimality of Zoll contact manifolds, I will show that Besse contact 3-manifolds are local maximizers of a suitable generalized systolic ratio.
Joint work with Jennifer L. Dalton and John B. Etnyre.
Abstract: Legendrian torus knots were classified by Etnyre and Honda. I will explain the classification of Legendrian torus links. In particular, I will describe restrictions on the Legendrian torus knots that can be realized as the components of a Legendrian torus link, and I will give examples of Legendrian torus links that cannot be destabilized even though they do not have maximal Thurston-Bennequin invariant. Furthermore, I will explain that there are some smooth symmetries of Legendrian torus links that cannot be realized by a Legendrian isotopy. These torus link statements have extensions to Legendrian cable links. All these results are applications of convex surface theory.
Abstract: Let S be a convex hypersurface with neighborhood N(S) inside of some contact manifold. When dim(S)=2 the contact topology of N(S) is governed by simple closed curves on S. However, few tools are currently available to study N(S) when dim(S)\gt2. We provide such a tool which is applicable in any dimension by computing the sutured contact homology of N(S) in terms of linearized invariants of the positive and negative regions of S. The proof combines Morse-Bott, obstruction bundle gluing, and virtual perturbation techniques.
Joint work with Yujin H. Kim, Eyal Lubetzky, Bastien Mallein and Ofer Zeitouni.
Abstract: Consider a branching Brownian motion in Rd with d ≥ 1. Where are the particles that have traveled the furthest away from the origin (at a large time t)? If one conditions by what happened early on in the process, in which direction are we likely to fond the furthest particle? Can one describe the structure of the extremal point process at large times? Those questions were already well understood for the case d = 1. In this talk I will present some recent results concerning the multidimensional case.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Abstract: Natural populations live in a heterogeneous environment and tend to adapt their pheno-types to their local environment. To understand the range dynamics of a population, we thus need to consider the spatial propagation of the population, but also its evolutionary dynamics. Starting from simple 1D linear environments, we will discuss how we can try to consider more complex situations: populations living in the 2D plane, and populations living in an environment that has a general heterogeneity at large scales. We will dis-cuss how we can take advantage of stochastic phenomena to derive a simple macroscopic description of a population range.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Joint work with Yves Le Jan.
Abstract: Our goal is to study the genetic composition of a population in which each individual has 2 parents, who contribute equally to the genome of their o˙spring. We use a bi-parental Moran model, which is characterized by its fixed number N of individuals. We fix an individual and consider the proportions of the genomes of all individuals living n time steps later, that come from this individual. When n goes to in˝nity, these proportions all converge almost surely towards the same random variable. When N then goes to infinity, this random variable multiplied by N (i.e. the stationary weight of any ancestor in the whole population) converges in law towards the mixture of a Dirac measure in 0 and an exponential law with parameter 1/2, and the weights of a ˝nite number of ancestors are independent. As a consequence, we obtain that the sequence of increasing weights of all ancestors, when properly rescaled, converges to the function −2 ln(2(1 − u)) for u superior at 1/2.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Abstract: One of the most widely cited hypotheses to explain the evolutionary maintenance of sex and recombination states that recombination increases the efficiency of natural selection by reducing interference among selected loci. Until recently, this possible benefit of re-combination was quanti˝ed analytically only in the case of haploid, randomly mating organisms, with selection acting at a few loci only. In this talk, I will present recent analytical and simulation results quantifying the strength of selection for recombination along continuous chromosomes infinite, diploid populations. Interestingly, selection for recombination caused by recurrent deleterious mutations can often be approximated by a simple function of the effective population size and the chromosomal mutation rate and genetic map length (average number of crossovers at meiosis). The results will then be ex-tended to the case of partially inbred populations (by considering partially self-fertilizing hermaphroditic organisms), and to the effect of transposable elements, representing an important source of mutation in the genomes of eukaryotes.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
By Ignacio Madrid Canales (Ecole Polytechnique)
Abstract: We aim to study the steady-state cell size distribution of a population of E. coli cells, integrating information collected at the individual scale. To that extent, we propose a stochastic individual-based dynamic model which can be calibrated using temporal single-cell lineage data acquired via micro˛uidic techniques. In particular, this data also grants access to the age structure, which then can be used to to provide a more precise non-Markovian characterisation of the growing population. Using probabilistic techniques, we prove the exponential convergence of the expected value of our stochastic process towards the unique stationary distribution, which can also be observed in real time in the data. A brief heuristic idea of the sufficient criteria for convergence which were used are discussed. We finally compare the predicted distributions to empirical distributions issued from macroscopic observations to validate the proposed micro-to-macro links for healthy and perturbed bacterial populations under different growing conditions.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Abstract: We explore how overlapping generations due to seed-dormancy affect the times to and probabilities of fixation of beneficial alleles. We also follow the expected genomic signatures associated with selective sweeps, evaluating our ability to detect them.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/
Abstract: Many populations can somehow adapt to rapid environmental changes. To understand this fast evolution, we investigate the genealogy of individuals inside those populations. More precisely, we use a deterministic model to describe the phenotypic density of a population under selection when the fitness optimum moves at constant speed. We study the inside dynamics of this population using the neutral fractions approach. We then define a Markov process characterizing the distribution of ancestral phenotypic lineages inside the equilibrium. This construction yields qualitative as well as quantitative properties on the phenotype of typical ancestors. In particular, we show that in asexual populations typical ancestors of present individuals carried traits much closer to the fitness optimum than most individuals alive at the same time. We also investigate more deeply the asymptotic regime of small mutation effects. In this regime, we obtain an explicit formula for the typical ancestral lineage using the description of the solutions of Hamilton Jacobi equation as a minimizer of an optimization problem. In addition, we compare our deterministic results on lineages with the lineages of stochastic models.
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Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS
http://www.ihp.fr/