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DTSTART;TZID=America/Los_Angeles:20220207T161500
DTEND;TZID=America/Los_Angeles:20220207T171500
DTSTAMP:20260412T215009
CREATED:20220125T183035Z
LAST-MODIFIED:20220201T005247Z
UID:2565-1644250500-1644254100@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Yunied Puig de Dios (CMC)
DESCRIPTION:Title: Modern techniques to approach the invariant subspace problem \nAbstract:  The invariant subspace problem is by far one of the most important problems in operator theory. It has been open for more than half a century\, and there are many significant contributions with a huge variety of techniques\, making this challenging problem so interesting; however the solution seems to be nowhere in sight. In this talk we are going to present a technique born in the 90’s and developed in the last two decades that has contributed tremendously to approach the invariant subspace problem\, becoming a very popular branch of operator theory and functional analysis\, called linear dynamics.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-yunied-puig-de-dios-cmc/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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DTSTART;TZID=America/Los_Angeles:20220214T161500
DTEND;TZID=America/Los_Angeles:20220214T171500
DTSTAMP:20260412T215009
CREATED:20220125T182526Z
LAST-MODIFIED:20220125T182526Z
UID:2560-1644855300-1644858900@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Project Pitch Day
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-project-pitch-day/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
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DTSTART;TZID=America/Los_Angeles:20220228T161500
DTEND;TZID=America/Los_Angeles:20220228T171500
DTSTAMP:20260412T215009
CREATED:20220125T180406Z
LAST-MODIFIED:20220317T190247Z
UID:2558-1646064900-1646068500@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Illia Karabash (IAMM of NAS of Ukraine and TU Dortmund)
DESCRIPTION:Title: Pareto optimization of resonances and optimal control methods \nAbstract: \nFirst successes in fabrication of high-Q optical cavities two decades ago led to active applied physics and numerical studies of optimization problems involving resonances. The questions is how to design an open resonator that has an eigenvalue as close as possible to the real line under certain constraints. The analytic spectral optimization theory for such types of non-Hermitian eigenproblems is still in the stage of development. It is planned to explain briefly why the Pareto optimization settings are natural for non-Hermitian spectral problems\, and how the associated nonlinear Euler-Lagrange eigenproblems can be rigorously derived for the case of resonances in 1-d photonic crystals. Then we concentrate on the recently developed optimal control approach of (Karabash\, Koch\, Verbytskyi `20) and show how it is related to Pareto frontiers and Hamilton-Jacobi-Bellman PDEs. An application of Pontryagin Maximum Principle and a special method of minimum-time shooting to a line of no-return will be also discussed.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-illia-karabash-tu-dortmund/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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