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DTSTART:20250330T030000
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DTSTAMP:20241108T141208Z
UID:66d80b0a39147659802593@ist.ac.at
DTSTART:20241127T153000
DTEND:20241127T163000
DESCRIPTION:Speaker: Gigliona 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:Gigliona Staffilani: The Schrödinger equations as inspiration of
beautiful mathematics
URL:https://talks-calendar.ista.ac.at/events/5215
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