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X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20260413T161500
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CREATED:20260320T224421Z
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UID:4058-1776096900-1776100500@colleges.claremont.edu
SUMMARY:Extremal Eigenvalues of Weighted Steklov Problems (Chiu-Yen Kao\, CMC)
DESCRIPTION:Abstract: We study the optimization of Steklov eigenvalues with respect to a boundary density function ρ on a bounded Lipschitz domain. We investigate the minimization and maximization of a Steklov eigenvalue over admissible densities satisfying pointwise bounds and a fixed integral constraint. We establish the existence of optimal solutions and provide structural characterizations: minimizers are bang-bang functions and may have disconnected support\, while maximizers are not necessarily bang-bang. On circular domains\, the minimization problem admits infinitely many minimizers generated by rotational symmetry\, while the maximization problem has infinitely many distinct maximizers that are not symmetry-induced. We also show that an eigenvalue is generally neither convex nor concave with respect to the density function\, limiting the use of classical convex optimization tools. To address these challenges\, we analyze the objective functional and introduce a Fréchet differentiable surrogate that enables the derivation of optimality conditions. We further design an efficient numerical algorithm\, with experiments illustrating the difficulty of recovering optimal densities when they lack smoothness or exhibit oscillations.
URL:https://colleges.claremont.edu/ccms/event/extremal-eigenvalues-of-weighted-steklov-problems-chiu-yen-kao-cmc/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260414T121500
DTEND;TZID=America/Los_Angeles:20260414T131000
DTSTAMP:20260403T163522
CREATED:20260123T051413Z
LAST-MODIFIED:20260131T213058Z
UID:3971-1776168900-1776172200@colleges.claremont.edu
SUMMARY:ANTC talk -- John Yoonseok Chae
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/antc-talk-helen-wong-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260417T110000
DTEND;TZID=America/Los_Angeles:20260417T121500
DTSTAMP:20260403T163522
CREATED:20260110T235143Z
LAST-MODIFIED:20260303T023223Z
UID:3956-1776423600-1776428100@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Ryan Moruzzi (CSU Northridge)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-6/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260421T121500
DTEND;TZID=America/Los_Angeles:20260421T131000
DTSTAMP:20260403T163522
CREATED:20260123T053557Z
LAST-MODIFIED:20260209T235048Z
UID:3972-1776773700-1776777000@colleges.claremont.edu
SUMMARY:ANTC talk -- Sehun Jeong (CMC)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sehun-jeong-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260424T110000
DTEND;TZID=America/Los_Angeles:20260424T121500
DTSTAMP:20260403T163522
CREATED:20260110T235232Z
LAST-MODIFIED:20260303T023400Z
UID:3957-1777028400-1777032900@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Manuel Reyes (UCI)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-7/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260428T121500
DTEND;TZID=America/Los_Angeles:20260428T131000
DTSTAMP:20260403T163522
CREATED:20260123T011543Z
LAST-MODIFIED:20260123T011543Z
UID:3970-1777378500-1777381800@colleges.claremont.edu
SUMMARY:ANTC talk -- Tom Gannon (UCR)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/antc-talk-tom-gannon-ucr/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260501T110000
DTEND;TZID=America/Los_Angeles:20260501T121500
DTSTAMP:20260403T163522
CREATED:20260110T235319Z
LAST-MODIFIED:20260303T023528Z
UID:3958-1777633200-1777637700@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Andy Fiss
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-8/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260505T121500
DTEND;TZID=America/Los_Angeles:20260505T131000
DTSTAMP:20260403T163522
CREATED:20260119T224840Z
LAST-MODIFIED:20260209T235152Z
UID:3962-1777983300-1777986600@colleges.claremont.edu
SUMMARY:ANTC talk -- Michael Orrison (HMC)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/antc-talk-michael-orrison-hmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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