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Wednesday 12 February 2025, 13:30 at IHP, Amphi Choquet-Bruhat (batiment Perrin) SEED (Seed Seminar of Mathematics and Physics) math-ph
Bertrand Duplantier ( Institut de Physique Théorique, Université Paris-Saclay ) Hamiltonian Paths on Random Planar Maps
Abstract: Hamiltonian paths are self-avoiding random walks that visit all sites of a given lattice. We consider various configuration exponents of Hamiltonian walks drawn on random planar maps. Estimates from exact enumerations are compared with predictions based on the Knizhnik-Polyakov-Zamolodchikov (KPZ) relations, as applied to exponents on the regular hexagonal lattice. Astonishingly, when the maps are bipartite, a naive use of KPZ does not reproduce all the measured exponents, but an Ansatz may possibly account for the observed discrepancies. We further study Hamiltonian cycles on various families of bipartite planar maps, which fall into two universality classes, with respective central charges c = -1 or c = -2. The first group comprises maps of fixed vertex valency p larger than 3, whereas the second group involves maps with mixed vertex valencies, as well as a so-called rigid case. For each class, a universal configuration exponent and a novel critical exponent associated with long-distance contacts along a Hamiltonian cycle are predicted from KPZ and the corresponding exponent on regular (hexagonal or square) lattices. This time, the KPZ predictions are numerically confirmed by exact enumeration results for p-regular maps, with p = 3, 4, 5, 6, 7, and for maps with mixed valencies (2,3) and (2,4). The scaling limit of fully-packed systems thus poses intriguing unresolved questions from both the Liouville Quantum Gravity and the Schramm-Loewner Evolution perspectives. Based on joint works with Ph. Di Francesco, O. Golinelli and E. Guitter.

Wednesday 12 February 2025, 15:00 at IHP, Amphi Choquet-Bruhat (batiment Perrin) SEED (Seed Seminar of Mathematics and Physics) math-ph
Yizheng Yuan ( Statistical Laboratory, Cambridge University, UK ) The chemical distance metric for non-simple CLE
Abstract: We construct the continuum analogue of the chemical distance metric in lattice models such as percolation. The chemical distance metric is the graph distance induced by the percolation clusters. It is known that for critical percolation, the lengths have non-trivial scaling behaviour, however it is very difficult to find the exact scaling exponent. (This is one of the questions from Schramm's ICM 2006 article that remains unsolved.) In a joint work with Valeria Ambrosio and Jason Miller, we construct a chemical distance metric on the CLE gasket for each $\kappa\in]4,8[$. We show that it is unique metric that is geodesic, Markovian, and conformally covariant. The characterisation is reminiscent of the LQG metric, but our objects behave very differently, and hence our techniques also differ significantly from those used in LQG. For $\kappa=6$, we conjecture that our random metric space is the scaling limit of critical percolation.

Wednesday 12 February 2025, 16:15 at IHP, Amphi Choquet-Bruhat (batiment Perrin) SEED (Seed Seminar of Mathematics and Physics) math-ph
Léonie Papon ( Durham University, UK ) Interface scaling limit for the critical planar Ising model perturbed by a magnetic field
Abstract: In this talk, I will consider the interface separating +1 and -1 spins in the critical planar Ising model with Dobrushin boundary conditions perturbed by an external magnetic field. I will prove that this interface has a scaling limit. This result holds when the Ising model is defined on a bounded and simply connected subgraph of $\delta\mathbb{Z}^2$, with $\delta > 0$. I will show that if the scaling of the external field is of order $\delta^{15/8}$, then, as $\delta \to 0$, the interface converges in law to a random curve whose law is conformally covariant and absolutely continuous with respect to $\text{SLE}_3$. This limiting law is a massive version of $\text{SLE}_3$ in the sense of Makarov and Smirnov and I will give an explicit expression for its Radon-Nikodym derivative with respect to $\text{SLE}_3$. I will also prove that if the scaling of the external field is of order $\delta^{15/8}g(\delta)$ with $g(\delta) \to 0$, then the interface converges in law to $\text{SLE}_3$. In contrast, I will show that if the scaling of the external field is of order $\delta^{15/8}f(\delta)$ with $f(\delta) \to \infty$, then the interface degenerates to a boundary arc.

Thursday 13 February 2025, 10:00 at IHP, Pierre Grisvard RENC-THEO (Rencontres Théoriciennes) hep-th
Simone Giacomelli ( Milano-Bicocca ) TBA

Thursday 13 February 2025, 11:00 at IHES, Amphithéâtre Léon Motchane
( Séminaire de Géométrie Arithmétique )
MATH-IHES (TBA) math
Takumi Watanabe ( Université de Tokyo & IHES ) On the (phi, Gamma)-modules Corresponding to Crystalline Representations, Semi-stable Representations and de Rham Representations
Abstract: From the 1980s to the 1990s, Jean-Marc Fontaine introduced the theory of (phi, Gamma)-modules to study p-adic Galois representations. They are simpler than p-adic Galois representations, but he showed an equivalence between them. Among p-adic Galois representations, some classes are particularly important in number theory. Main examples are crystalline representations, semi-stable representations and de Rham representations. In this talk, I will explain how we can determine the (phi, Gamma)-modules corresponding to these representations. These results can be seen, in a sense, as generalizations of Wach modules.

Thursday 13 February 2025, 14:00 at LPTMC, campus Jussieu, couloir 12-13, 5ème étage, salle 5-23 SEM-LPTMC (Séminaire du Laboratoire de Physique Théorique de la Matière Condensée) cond-mat
Nicolas Regnault ( LPENS Paris ) TBA
Abstract: TBA

Tuesday 18 February 2025, 10:30 at IHES, Amphithéâtre Léon Motchane
( Cours de l'IHES )
MATH-IHES (TBA) math
Dustin Clausen ( IHES ) Algebraic K-theory and Chromatic Homotopy Theory (1/4)
Abstract: The most universal kind of linear algebra is based not on abelian groups, but on homotopy-theoretic objects known as spectra. According to chromatic homotopy theory, one can systematically organize spectra into periodic families. On the other hand, a natural source of spectra is provided by algebraic K-theory, a highly refined cohomological invariant of rings (or schemes, etc). This leads to the subject of this course: the interaction of the chromatic theory with algebraic K-theory. The story begins with classical theorems of Thomason, Mitchell, and Hesselholt-Madsen. Bold generalizations of these theorems were conjectured by Rognes and Ausoni-Rognes, under the umbrella term of "redshift". Several of these conjectures are now theorems due to recent work of many people. Remarkably, this work has applications to "pure" chromatic homotopy theory: Burklund-Hahn-Levy-Schlank used it to settle (in the negative) the "telescope conjecture", the last of Ravenel's conjectures. Lecture 1: Introduction to chromatic homotopy theory. Lecture 2: Descent and "soft redshift". Lecture 3: "Hard redshift", a.k.a. the Lichtenbaum-Quillen property. Lecture 4: The telescope conjecture.

Thursday 20 February 2025, 10:30 at IHES, Amphithéâtre Léon Motchane
( Cours de l'IHES )
MATH-IHES (TBA) math
Dustin Clausen ( IHES ) Algebraic K-theory and Chromatic Homotopy Theory (2/4)
Abstract: The most universal kind of linear algebra is based not on abelian groups, but on homotopy-theoretic objects known as spectra. According to chromatic homotopy theory, one can systematically organize spectra into periodic families. On the other hand, a natural source of spectra is provided by algebraic K-theory, a highly refined cohomological invariant of rings (or schemes, etc). This leads to the subject of this course: the interaction of the chromatic theory with algebraic K-theory. The story begins with classical theorems of Thomason, Mitchell, and Hesselholt-Madsen. Bold generalizations of these theorems were conjectured by Rognes and Ausoni-Rognes, under the umbrella term of "redshift". Several of these conjectures are now theorems due to recent work of many people. Remarkably, this work has applications to "pure" chromatic homotopy theory: Burklund-Hahn-Levy-Schlank used it to settle (in the negative) the "telescope conjecture", the last of Ravenel's conjectures. Lecture 1: Introduction to chromatic homotopy theory. Lecture 2: Descent and "soft redshift". Lecture 3: "Hard redshift", a.k.a. the Lichtenbaum-Quillen property. Lecture 4: The telescope conjecture.

Thursday 20 February 2025, 11:00 at LPTHE, LPTHE library SEM-LPTHE (Séminaire du LPTHE) cond-mat.str-el
Clément Delcamp ( IHES ) TBA

Tuesday 25 February 2025, 10:30 at IHES, Amphithéâtre Léon Motchane
( Cours de l'IHES )
MATH-IHES (TBA) math
Dustin Clausen ( IHES ) Algebraic K-theory and Chromatic Homotopy Theory (3/4)
Abstract: The most universal kind of linear algebra is based not on abelian groups, but on homotopy-theoretic objects known as spectra. According to chromatic homotopy theory, one can systematically organize spectra into periodic families. On the other hand, a natural source of spectra is provided by algebraic K-theory, a highly refined cohomological invariant of rings (or schemes, etc). This leads to the subject of this course: the interaction of the chromatic theory with algebraic K-theory. The story begins with classical theorems of Thomason, Mitchell, and Hesselholt-Madsen. Bold generalizations of these theorems were conjectured by Rognes and Ausoni-Rognes, under the umbrella term of "redshift". Several of these conjectures are now theorems due to recent work of many people. Remarkably, this work has applications to "pure" chromatic homotopy theory: Burklund-Hahn-Levy-Schlank used it to settle (in the negative) the "telescope conjecture", the last of Ravenel's conjectures. Lecture 1: Introduction to chromatic homotopy theory. Lecture 2: Descent and "soft redshift". Lecture 3: "Hard redshift", a.k.a. the Lichtenbaum-Quillen property. Lecture 4: The telescope conjecture.

Thursday 27 February 2025, 10:30 at IHES, Amphithéâtre Léon Motchane
( Cours de l'IHES )
MATH-IHES (TBA) math
Dustin Clausen ( IHES ) Algebraic K-theory and Chromatic Homotopy Theory (4/4)
Abstract: The most universal kind of linear algebra is based not on abelian groups, but on homotopy-theoretic objects known as spectra. According to chromatic homotopy theory, one can systematically organize spectra into periodic families. On the other hand, a natural source of spectra is provided by algebraic K-theory, a highly refined cohomological invariant of rings (or schemes, etc). This leads to the subject of this course: the interaction of the chromatic theory with algebraic K-theory. The story begins with classical theorems of Thomason, Mitchell, and Hesselholt-Madsen. Bold generalizations of these theorems were conjectured by Rognes and Ausoni-Rognes, under the umbrella term of "redshift". Several of these conjectures are now theorems due to recent work of many people. Remarkably, this work has applications to "pure" chromatic homotopy theory: Burklund-Hahn-Levy-Schlank used it to settle (in the negative) the "telescope conjecture", the last of Ravenel's conjectures. Lecture 1: Introduction to chromatic homotopy theory. Lecture 2: Descent and "soft redshift". Lecture 3: "Hard redshift", a.k.a. the Lichtenbaum-Quillen property. Lecture 4: The telescope conjecture.

Wednesday 5 March 2025, 14:00 at LPENS, L378 FORUM-ENS (Forum de Physique Statistique @ ENS) cond-mat.stat-mech
Felix Werner ( LKB ) TBA

Thursday 6 March 2025, 11:00 at LPTHE, bibliothèque du LPTHE, tour 13-14, 4eme étage SEM-DARBOUX (Séminaire Darboux - physique théorique et mathématiques) hep-th
Sofia Tarricone ( IMJ-PRG ) TBA

Wednesday 12 March 2025, 13:30 at DPT-PHYS-ENS, salle ConfIV (Département de Physique de l'ENS - 24 rue Lhomond 75005 PARIS) COLLOQUIUM-ENS (Colloquium of the Physics Department of ENS) physics
Geoffrey Vallis TBA
Abstract: TBA

Wednesday 19 March 2025, 12:45 at LPENS, 3 rue dUlm (College de France) FORUM-ENS (Forum de Physique Statistique @ ENS) cond-mat.stat-mech
Dalimil Mazac ( IPHT ) TBA

Thursday 27 March 2025, 14:00 at LPTMC, Jussieu, LPTMC seminar room, towers 13-12, 5th floor, room 523 SEM-LPTMC (Séminaire du Laboratoire de Physique Théorique de la Matière Condensée) cond-mat
Tarik Yefsah ( LKB ) TBA
Abstract: TBA

Thursday 27 March 2025, 17:00 at UFR-PHYS-SU, Amphi 25 Campus Pierre-et-Marie-Curie, Jussieu CPMC (Colloquium Pierre et Marie Curie) astro-ph|cond-mat|gr-qc|hep-ex|hep-lat|hep-ph|hep-th|physics|quant-ph
Lydéric Bocquet ( LPENS, Académie des Sciences ) La mécanique moléculaire des fluides
Abstract: TBA

Wednesday 2 April 2025, 13:30 at DPT-PHYS-ENS, salle ConfIV (Département de Physique de l'ENS - 24 rue Lhomond 75005 PARIS) COLLOQUIUM-ENS (Colloquium of the Physics Department of ENS) physics
Susana Huelga TBA
Abstract: TBA

Friday 4 April 2025, 14:00 at IHES, Amphithéâtre Léon Motchane
( Cours de l'IHES )
MATH-IHES (TBA) math
Daniel Tataru ( UC Berkeley ) Global Solutions for Nonlinear Dispersive Waves (1/4)
Abstract: The key property of linear dispersive flows is that waves with different frequencies travel with different group velocities, which leads to the phenomena of dispersive decay. Nonlinear dispersive flows also allow for interactions of linear waves, and their long time behavior is determined by the balance of linear dispersion on one hand, and nonlinear effects on the other hand. The first goal of these lectures will be to present and motivate a new set of conjectures which aim to describe the global well-posedness and the dispersive properties of solutions in the most difficult case when the nonlinear effects are dominant, assuming only small initial data. This covers many interesting physical models, yet, as recently as a few years ago, there was no clue even as to what one might reasonably expect. The second objective of the lectures will be to describe some very recent results in this direction, in joint work with my collaborator Mihaela Ifrim from University of Wisconsin, Madison.

Monday 7 April 2025, 14:00 at IHES, Amphithéâtre Léon Motchane
( Cours de l'IHES )
MATH-IHES (TBA) math
Daniel Tataru ( UC Berkeley ) Global Solutions for Nonlinear Dispersive Waves (2/4)
Abstract: The key property of linear dispersive flows is that waves with different frequencies travel with different group velocities, which leads to the phenomena of dispersive decay. Nonlinear dispersive flows also allow for interactions of linear waves, and their long time behavior is determined by the balance of linear dispersion on one hand, and nonlinear effects on the other hand. The first goal of these lectures will be to present and motivate a new set of conjectures which aim to describe the global well-posedness and the dispersive properties of solutions in the most difficult case when the nonlinear effects are dominant, assuming only small initial data. This covers many interesting physical models, yet, as recently as a few years ago, there was no clue even as to what one might reasonably expect. The second objective of the lectures will be to describe some very recent results in this direction, in joint work with my collaborator Mihaela Ifrim from University of Wisconsin, Madison.

Monday 7 April 2025, 14:00 at LPENS, TBD LPENS-MDQ (Séminaire Matériaux et Dispositifs Quantiques du LPENS) cond-mat
Akashdeep Kamra ( RPTU Kaiserlautern ) TBA

Wednesday 9 April 2025, 14:00 at LPENS, 3 rue dUlm (College de France) FORUM-ENS (Forum de Physique Statistique @ ENS) cond-mat.stat-mech
Marylou Gabrie ( LPENS ) TBA

Wednesday 9 April 2025, 14:00 at IHES, Amphithéâtre Léon Motchane
( Cours de l'IHES )
MATH-IHES (TBA) math
Daniel Tataru ( UC Berkeley ) Global Solutions for Nonlinear Dispersive Waves (3/4)
Abstract: The key property of linear dispersive flows is that waves with different frequencies travel with different group velocities, which leads to the phenomena of dispersive decay. Nonlinear dispersive flows also allow for interactions of linear waves, and their long time behavior is determined by the balance of linear dispersion on one hand, and nonlinear effects on the other hand. The first goal of these lectures will be to present and motivate a new set of conjectures which aim to describe the global well-posedness and the dispersive properties of solutions in the most difficult case when the nonlinear effects are dominant, assuming only small initial data. This covers many interesting physical models, yet, as recently as a few years ago, there was no clue even as to what one might reasonably expect. The second objective of the lectures will be to describe some very recent results in this direction, in joint work with my collaborator Mihaela Ifrim from University of Wisconsin, Madison.

Friday 11 April 2025, 14:00 at IHES, Amphithéâtre Léon Motchane
( Cours de l'IHES )
MATH-IHES (TBA) math
Daniel Tataru ( UC Berkeley ) Global Solutions for Nonlinear Dispersive Waves (4/4)
Abstract: The key property of linear dispersive flows is that waves with different frequencies travel with different group velocities, which leads to the phenomena of dispersive decay. Nonlinear dispersive flows also allow for interactions of linear waves, and their long time behavior is determined by the balance of linear dispersion on one hand, and nonlinear effects on the other hand. The first goal of these lectures will be to present and motivate a new set of conjectures which aim to describe the global well-posedness and the dispersive properties of solutions in the most difficult case when the nonlinear effects are dominant, assuming only small initial data. This covers many interesting physical models, yet, as recently as a few years ago, there was no clue even as to what one might reasonably expect. The second objective of the lectures will be to describe some very recent results in this direction, in joint work with my collaborator Mihaela Ifrim from University of Wisconsin, Madison.

Wednesday 7 May 2025, 12:45 at LPENS, 3 rue dUlm (College de France) FORUM-ENS (Forum de Physique Statistique @ ENS) cond-mat.stat-mech
Kirone Mallick ( IPHT ) TBA

Thursday 22 May 2025, 17:00 at UFR-PHYS-SU, Amphi 25 Campus Pierre-et-Marie-Curie, Jussieu CPMC (Colloquium Pierre et Marie Curie) astro-ph|cond-mat|gr-qc|hep-ex|hep-lat|hep-ph|hep-th|physics|quant-ph
Didier Queloz ( Cambridge U & ETH Zurich ) The exoplanet revolution
Abstract: TBA

Wednesday 28 May 2025, 13:30 at DPT-PHYS-ENS, salle ConfIV (Département de Physique de l'ENS - 24 rue Lhomond 75005 PARIS) COLLOQUIUM-ENS (Colloquium of the Physics Department of ENS) physics
Buonanno TBA
Abstract: TBA

Thursday 12 June 2025, 11:00 at LPTHE, bibliothèque du LPTHE, tour 13-14, 4eme étage SEM-DARBOUX (Séminaire Darboux - physique théorique et mathématiques) hep-th
Jeremy Lovejoy TBA

Thursday 19 June 2025, 14:00 at LPTMC, Jussieu, LPTMC seminar room, towers 13-12, 5th floor, room 523 SEM-LPTMC (Séminaire du Laboratoire de Physique Théorique de la Matière Condensée) cond-mat
Adam Nahum ( LPENS ) TBA on Z2 gauge theory

Monday 23 June 2025, 13:30 at DPT-PHYS-ENS, salle ConfIV (Département de Physique de l'ENS - 24 rue Lhomond 75005 PARIS) COLLOQUIUM-ENS (Colloquium of the Physics Department of ENS) physics
Brujic TBA
Abstract: TBA

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