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DTSTART;TZID=America/Los_Angeles:20210301T150000
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DTSTAMP:20260427T114549
CREATED:20210112T180006Z
LAST-MODIFIED:20210210T190755Z
UID:2104-1614610800-1614614400@colleges.claremont.edu
SUMMARY:Applied math. talk: Blowup rate estimates of a singular potential in the Landau-de Gennes theory for liquid crystals  by Xiang Xu\, Old Dominion   University.
DESCRIPTION:Abstract: The Landau-de Gennes theory is a type of continuum theory that\ndescribes nematic liquid crystal configurations in the framework of the\nQ-tensor order parameter. In the free energy\, there is a singular bulk\npotential which is considered as a natural enforcement of a physical\nconstraint on the eigenvalues of symmetric\, traceless Q-tensors. In this\ntalk we shall discuss some analytic properties related to this singular\npotential. More specifically\, we provide precise estimates of both this\nsingular potential\nand its gradient as the Q-tensor approaches its physical boundary.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-xiang-xu-old-dominion-university/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
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DTSTART;TZID=America/Los_Angeles:20210303T161500
DTEND;TZID=America/Los_Angeles:20210303T173000
DTSTAMP:20260427T114549
CREATED:20210204T003334Z
LAST-MODIFIED:20210221T214207Z
UID:2166-1614788100-1614792600@colleges.claremont.edu
SUMMARY:Ioana Dumitriu
DESCRIPTION:Title:  Spectral gap in random regular graphs and hypergraphs \nAbstract: Random graphs and hypergraphs have been used for decades to model large-scale networks\, from biological\, to electrical\, and to social. Various random graphs (and their not-so-random properties) have been connected to algorithms solving problems from community detection to matrix completion\, coding theory\, and various other statistics / machine learning fundamental questions; in the past decade\, this research area has expanded to include random hypergraphs. One of these special properties is the spectral gap for graph-associated matrices; roughly speaking\, it means that the main eigenvalue(s) are well-separated from the bulk and it guarantees strong connectivity properties. This talk will take a look at the spectra of adjacency / Laplacian matrices for some random regular models\, explain how we know that the spectral gap is there\, and connect spectral properties to the aforementioned applications. It will cover joint work with Gerandy Brito\, Kameron Decker Harris\, and Yizhe Zhu.  \nIoana Dumitriu is a Professor of Mathematics at The University of California\, San Diego.
URL:https://colleges.claremont.edu/ccms/event/ioana-dumitru/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
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