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SUMMARY:DISPERSIVE INTEGRABLE EQUATIONS: PATHFINDERS IN HAMILTONIAN PDE
DTSTART:20260615T073000Z
DTEND:20260703T160000Z
DTSTAMP:20260425T184400Z
UID:indico-event-14714@indico.math.cnrs.fr
CONTACT:soliton2026@ihp.fr
DESCRIPTION:Thematic 3-weeks programme at the Institut Henri Poincaré\, P
 aris\, June 15th to July 3rd\, 2026.\nProgramme talks and conference are i
 n amphithéâtre Yvonne Choquet-Bruhat in the new IHP Perrin building.\nBe
 ware: It was reported to us that scammers are sending to participants frau
 dulent e-mails about accomodation/fees. Please be particularly cautious ab
 out e-mails not coming from the organisers nor from an @ihp.fr address. \
 nPresentation of the programme\nCompletely integrable systems have long se
 rved as pathfinders in mathematical physics.Integrable PDE are regularly u
 sed as effective models for a wide array of phenomena seen in nonlinear op
 tics\, magnetohydrodynamics\, Bose–Einstein condensates\, and for both s
 urface and internal waves in fluid mechanics. That such a seemingly narrow
  class of equations should attract such enduring attention from generation
 s of mathematiciansand physicists is indicative of several factors: these 
 equations exhibit myriad physical behaviors\, including the elastic intera
 ction of solitary waves\, the soliton resolution phenomenon\, but also blo
 wup\, turbulence\, and ergodicity. More strikingly\, in the completely int
 egrable context\, it is sometimes possible to describe such phenomena with
  explicit formulae! Furthermore\, these behaviours that were first witness
 ed in the completely integrable setting are robust enough to be observed n
 ot only in non-integrable analogues\, but even in experiments.In hindsight
 \, it is not surprising that these phenomena were first described mathemat
 ically in the completely integrable setting. Indeed\, the rich algebraic a
 nd analytic structure of these equations renders them amenable to treatmen
 t via tools and techniques from across a wide spectrum of mathematics\, su
 ch as harmonic analysis\, Lie theory\, algebraic geometry\, inverse scatte
 ring\, partial differential equations\, random matrices\, etc.This proposa
 l focuses on analytical tools used in the study of completely integrable s
 ystems. Even in this realm there are a multitude of competing technologies
 \, such as Riemann–Hilbert methods\, the theory of Hankel and Toeplitz o
 perators\, the method of commuting flows\, dispersive PDE techniques\, and
  harmonic analysis tools. The goalof the proposed program is to bring toge
 ther experts on these multifaceted approaches\, with a view toward creatin
 g a new generation of researchers that are multilingual and can seamlessly
  glide between the vocabulary and tools that are currently endemic toeach 
 research group.\n \nThe program unfolds over three weeks: lectures and a 
 workshop.\nIntroductory lectures: from June 15 to 19\, IHP\, Amphithéâtr
 e Choquet-Bruhat - Perrin building\nWorkshop: "Modern methods\, techniques
  & results in dispersive integrable equation": from June 22 to 26\, IHP\, 
 Amphithéâtre Choquet-Bruhat - Perrin building\nInvited lectures & talks:
  from June 29 to July 3\, IHP\, Amphithéâtre Choquet-Bruhat - Perrin bu
 ilding\n \n \nRegistration is free but mandatory.Deadline for asking fin
 ancial support: January 15th\, 2026. Financial support is limited.\nDeadl
 ine for registration : January 31st\, 2026. Places are limited.\n \nOrgan
 ising committee:\n\nPatrick Gérard (Laboratoire de Mathématique d’Orsa
 y) \nTamara Grava (SISSA) \nPeter Miller (University of Michigan) \nMon
 ica Visan (University of California)\nNicolas Burq (Laboratoire de Mathém
 atique d’Orsay)\n\n \nScientific committee:\n\nHajer Bahouri (Laboratoi
 re Jacques-Louis Lions - Sorbonne Université)\nRowan Killip (University o
 f California)\nCatherine Sulem (University of Toronto)\nJean-Claude Saut (
 Université Paris-Saclay / CNRS Laboratoire de Mathématiques d'Orsay)\n\n
  \nFundings: \n\n\n\n\n\n\n\n \n \n\n\n\nThe program receives also sup
 port from\n \n\nhttps://indico.math.cnrs.fr/event/14714/
IMAGE;VALUE=URI:https://indico.math.cnrs.fr/event/14714/logo-2817421479.pn
 g
LOCATION:Institut Henri Poincaré
URL:https://indico.math.cnrs.fr/event/14714/
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