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DTSTART;TZID=America/Los_Angeles:20230302T163000
DTEND;TZID=America/Los_Angeles:20230302T173000
DTSTAMP:20260508T120451
CREATED:20230302T165631Z
LAST-MODIFIED:20230302T165631Z
UID:3090-1677774600-1677778200@colleges.claremont.edu
SUMMARY:The Fell topology and the modular Gromov-Hausdorff propinquity (Jiahui Yu\, Pomona College)
DESCRIPTION:Given a unital AF (approximately finite-dimensional) algebra A equipped with a faithful tracial state\, we equip each (norm-closed two-sided) ideal of A with a metrized quantum vector bundle structure\, when canonically viewed as a module over A\, in the sense of Latrémolière using previous work of Aguilar and Latrémolière. Moreover\, we show that convergence of ideals in the Fell topology implies convergence of the associated metrized quantum vector bundles in the modular Gromov-Hausdorff propinquity of Latrémolière. In a similar vein but requiring a different approach\, given a compact metric space (X\,d)\, we equip each ideal of C(X) with a metrized quantum vector bundle structure\, and show that convergence in the Fell topology implies convergence in the modular Gromov-Hausdorff propinquity. (This is joint work with Konrad Aguilar).
URL:https://colleges.claremont.edu/ccms/event/the-fell-topology-and-the-modular-gromov-hausdorff-propinquity-jiahui-yu-pomona-college/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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DTSTART;TZID=America/Los_Angeles:20230309T163000
DTEND;TZID=America/Los_Angeles:20230309T173000
DTSTAMP:20260508T120451
CREATED:20230306T061639Z
LAST-MODIFIED:20230306T061639Z
UID:3094-1678379400-1678383000@colleges.claremont.edu
SUMMARY:Existence and uniqueness of minimizers in variational problems (Wilfrid Gangbo\, UCLA)
DESCRIPTION:We comment on the main steps to take when studying some variational problems. This includes optimization problems arising in geometry\, machine learning\, non linear elasticity\, fluid mechanics\, etc… For the sake of illustration\, in this talk\, we keep our focus on a minimization problem obtained after a time-discretization of the incompressible Navier-Stokes equations. Elementary geometric intuitions are used to uniquely characterize equilibria which are minimizers.
URL:https://colleges.claremont.edu/ccms/event/existence-and-uniqueness-of-minimizers-in-variational-problems-wilfrid-gangbo-ucla/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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DTSTART;TZID=America/Los_Angeles:20230323T163000
DTEND;TZID=America/Los_Angeles:20230323T173000
DTSTAMP:20260508T120451
CREATED:20230323T212318Z
LAST-MODIFIED:20230323T212318Z
UID:3108-1679589000-1679592600@colleges.claremont.edu
SUMMARY:The Hilbert space approach in the theory of differential equations (Adolfo Rumbos\, Pomona College)
DESCRIPTION:In this talk we discuss the Hilbert space approach\, or the variational approach\, in the study of questions of existence and multiplicity for some two-point boundary-value problems for nonlinear\, second order\, ordinary differential equations (ODEs).  We illustrate the use of the Hilbert space approach in obtaining some old existence results for periodic solutions of a semilinear ODE\, and some recent multiplicity results for a related problem. The talk is based on joint work with Noah Benjamin (Pomona College ’23) and Leandro Recôva (Cal Poly Pomona).
URL:https://colleges.claremont.edu/ccms/event/the-hilbert-space-approach-in-the-theory-of-differential-equations-adolfo-rumbos-pomona-college/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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