We construct for the first time hairy black holes within a well-established theoretical framework: the electroweak theory minimally coupled to Einstein’s General Relativity. These black holes support an axially symmetric electroweak condensate — the hair — made of massive W, Z, and Higgs fields. In the extremal limit, they are surrounded in addition by a symmetric phase where the Higgs field vanishes, and their size can be macroscopic. We analyze their properties and establish connections with known flat-space results in the electroweak theory.
 
 
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Probability and analysis informal seminar
The Elastic Manifold is a model of an elastic interface in a disordered medium, introduced in the 80’s in order to understand the competition between the effects of disorder and those of elasticity. This model gave us a very vast literature in statistical physics, from Daniel Fisher to Marc Mezard and Giorgio Parisi, and many more works inspired by the progress of the Parisi school on Spin Glasses, up to the more mathematical recent works by Yan Fyodorov and Pierre Le Doussal.
I will cover here recent progress, first on the topological complexity of the energy  landscape for the Elastic Manifold, obtained with Paul Bourgade (Courant) and Benjamin McKenna (Georgia Tech), and then on the Parisi formula for the quenched free energy, and the nature of the glass transition at low temperature, more recently proved in a series of works, with Pax Kivimae (Courant).
 
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Séminaire Amplitudes et Gravitation sur l’Yvette (IHES/IPhT)
Accurate and efficient modeling of binary black holes (BBHs) is crucial for detecting gravitational waves (GWs) they emit. Closed-form solutions to these systems in their initial inspiral state are highly sought after and have been worked out by many groups in the past few decades. Most of these solutions are valid only in certain limits (small eccentricity, zero spins, equal mass binary, etc). In this talk, we will discuss our solution for the most general post-Newtonian (PN) BBH system (with arbitrary masses, eccentricity, and spins). Two newly discovered constants of motion, along with the action-angle variables of these BBHs will also be presented. Throughout, we will confine ourselves to 1.5PN and 2PN orders.
 
 
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In a dynamical system that incorporates an exponentially growing number of degrees of freedom, can information sent at early time be retrieved at late time? This “inflationary inference problem” arises in several contexts: statistical inference, error correction, measurement-altered quantum criticality, quantum Darwinism, and cosmology. In this talk, we will introduce the problem, and propose a general criterion for inference, extending the Kesten-Stigum threshold. Implications in some of the aforementioned contexts will be discussed. In particular, we will revisit the question of “classicalisation” during inflation.
 
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Any closed, flat Riemannian manifold is finitely covered by the torus, by Bieberbach’s classical theorem. Similar classifications have been pursued for closed, Riemannian conformally flat manifolds, as well as for closed, flat Lorentzian manifolds. I will present the classification of closed, Lorentzian conformally flat manifolds with unipotent holonomy. This is joint work with Rachel Lee.
 

Thurston defined a mapping class group-equivariant spine for Teichmüller space: the « Thurston spine ». This spine is a CW complex, consisting of the points in Teichmüller space at which the set of shortest geodesics — the systoles — cut the surface into polygons. The systole function is a map from Teichmüller space to R+ whose value at any point is given by the length of the systoles. It is known that the systole function is a topological Morse function on Teichmüller space, whose critical points are contained in the Thurston spine. This talk surveys what the systole function tells us about the Thurston spine.

We shall try to assign  mathematical meaning to the language used by biologists for describing   basic structures and processes in  living organisms, from the   (sub)cellular level up to  evolutionary dynamics of populations. 
In particular, we shall elucidate  the mathematical as well as biological meaning of the following concepts.
● biological (non-Shannon) information,● descriptional (non-Kolmogorov) complexity,● biological structure,● biological function (performed by a particular structure), ● biological purpose (of a function),● information/program encoded and stored by a material structure (DNA, RNA),● information/signal transmitted by a matter/energy process/flow, ● information/program, which controls such a « flow »,● biological structures build by (networks of) matter/energy flows, e.g transcription –> translation –>  protein folding.
Also we indicate a potential use of formalisation of  biological language  in genetic engineering, e.g. in the analysis/applications of CRISPR and of  phage assisted continuous evolution.

We shall try to assign  mathematical meaning to the language used by biologists for describing   basic structures and processes in  living organisms, from the   (sub)cellular level up to  evolutionary dynamics of populations. 
In particular, we shall elucidate  the mathematical as well as biological meaning of the following concepts.
● biological (non-Shannon) information,● descriptional (non-Kolmogorov) complexity,● biological structure,● biological function (performed by a particular structure), ● biological purpose (of a function),● information/program encoded and stored by a material structure (DNA, RNA),● information/signal transmitted by a matter/energy process/flow, ● information/program, which controls such a « flow »,● biological structures build by (networks of) matter/energy flows, e.g transcription –> translation –>  protein folding.
Also we indicate a potential use of formalisation of  biological language  in genetic engineering, e.g. in the analysis/applications of CRISPR and of  phage assisted continuous evolution.

We shall try to assign  mathematical meaning to the language used by biologists for describing   basic structures and processes in  living organisms, from the   (sub)cellular level up to  evolutionary dynamics of populations. 
In particular, we shall elucidate  the mathematical as well as biological meaning of the following concepts.
● biological (non-Shannon) information,● descriptional (non-Kolmogorov) complexity,● biological structure,● biological function (performed by a particular structure), ● biological purpose (of a function),● information/program encoded and stored by a material structure (DNA, RNA),● information/signal transmitted by a matter/energy process/flow, ● information/program, which controls such a « flow »,● biological structures build by (networks of) matter/energy flows, e.g transcription –> translation –>  protein folding.
Also we indicate a potential use of formalisation of  biological language  in genetic engineering, e.g. in the analysis/applications of CRISPR and of  phage assisted continuous evolution.

We shall try to assign  mathematical meaning to the language used by biologists for describing   basic structures and processes in  living organisms, from the   (sub)cellular level up to  evolutionary dynamics of populations. 
In particular, we shall elucidate  the mathematical as well as biological meaning of the following concepts.
● biological (non-Shannon) information,● descriptional (non-Kolmogorov) complexity,● biological structure,● biological function (performed by a particular structure), ● biological purpose (of a function),● information/program encoded and stored by a material structure (DNA, RNA),● information/signal transmitted by a matter/energy process/flow, ● information/program, which controls such a « flow »,● biological structures build by (networks of) matter/energy flows, e.g transcription –> translation –>  protein folding.
Also we indicate a potential use of formalisation of  biological language  in genetic engineering, e.g. in the analysis/applications of CRISPR and of  phage assisted continuous evolution.

Probability and analysis informal seminar
In this talk, we will briefly review the main ideas for solving singular SPDEs with the use of Regularity Structures. After presenting the main symmetries known, we will focus on some recent progress concerning the chain rule symmetry in the full subcritical regime. These symmetries allow us to restrict the space of solutions.
 
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Séminaire Amplitudes et Gravitation sur l’Yvette (IHES/IPhT)
In this talk, it will be shown that the Kerr metric describes a pair of self-dual and anti-self-dual Taub-NUT instantons, like the N and S poles of a bar magnet. The implications of this fact will be discussed. Firstly, it derives the Newman-Janis algorithm without an ambiguity: a mathematical procedure that generates spinning black hole solutions from non-spinning ones by means of a complex transformation, previously believed as merely a formal construct. Secondly, it uniquely determines the effective point-particle Lagrangian of Kerr black hole in post-Minkowskian gravity, based on the topological nature of the gravitational Dirac string (Misner string) associated with the NUT charges. This off-shell construction resolves the longstanding struggle that the gravitational dynamics of Kerr black holes at the second post-Minkowskian order is not uniquely, or easily, determinable from the scattering amplitudes methods. The gravitational Compton amplitude for Kerr black hole will be presented, which achieves correct factorizations without spurious poles in a simple manner. Finally, a new chapter of relativity will be proposed, in which spin is intrinsically unified into spacetime: « spinspacetime”.
 
Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_physique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.