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DTSTART:20250330T030000
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DTSTAMP:20260424T143449Z
UID:66d80b0a39147659802593@ist.ac.at
DTSTART:20241127T153000
DTEND:20241127T163000
DESCRIPTION:Speaker: Gigliola Staffilani\nhosted by Robert Seiringer\nAbstr
 act: In the last two decades  great progress has been made in the study o
 f dispersive and wave equations. Over the years the toolbox used in order
  to attack highly nontrivial problems related to these equations has deve
 loped to include a collection of techniques: Fourier and harmonic analysi
 s\, analytic number theory\, math physics\, dynamical systems\, probabili
 ty and symplectic geometry. In this talk I will introduce a variety of res
 ults using as model problem mainly the periodic 2D cubic nonlinear Schr
 ödinger equation. I will start by giving a physical derivation of the eq
 uation from a quantum many-particles system\, I will introduce periodic 
 Strichartz estimates along with some remarkable connections to analytic nu
 mber theory\, I will move on the concept of energy transfer and its conne
 ction to dynamical systems\, and I will end with some results following fr
 om viewing the periodic nonlinear Schrödinger equation as an infinite d
 imensional Hamiltonian system.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Gigliola Staffilani: The  Schrödinger equations as inspiration of 
 beautiful mathematics
URL:https://talks-calendar.ista.ac.at/events/5215
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