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DTSTART;TZID=America/Los_Angeles:20181126T161500
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DTSTAMP:20260430T061939
CREATED:20181124T043635Z
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UID:958-1543248900-1543252500@colleges.claremont.edu
SUMMARY:A renormalization approach to existence of the blow-up solutions of the Navier-Stokes equations (Denis Gaidashev\, Uppsala University\, Sweden)
DESCRIPTION:The Navier-Stokes existence and smoothness problem is one of the most important open problems in modern mathematics.   Ya. Sinai and D. Li have proposed a renormalization approach to constructing a counter-example to existence. In this approach\, existence of  a blow-up solution (a solution whose energy becomes infinite in finite time) is equivalent to existence of fixed point of an appropriate operator in some functional space.  We will explain a computer assited technique which can be conjecturally used to prove existence of such a fixed point for 3D NS equations\, and describe our numerical evidence for a fixed point in the setting of a 1D version of NS.
URL:https://colleges.claremont.edu/ccms/event/a-renormalization-approach-to-existence-of-the-blow-up-solutions-of-the-navier-stokes-equations-denis-gaidashev-uppsala-university-sweden/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
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DTSTART;TZID=America/Los_Angeles:20181127T121500
DTEND;TZID=America/Los_Angeles:20181127T131000
DTSTAMP:20260430T061939
CREATED:20181002T061007Z
LAST-MODIFIED:20190115T082646Z
UID:892-1543320900-1543324200@colleges.claremont.edu
SUMMARY:Weil sums of binomials: properties and applications (Daniel Katz\, CSUN)
DESCRIPTION:We consider sums in which an additive character of a finite field F is applied to a binomial whose individual terms (monomials) become permutations of F when regarded as functions.  These Weil sums characterize the nonlinearity of power permutations of interest in cryptography.  They also tell us about the correlation of linear recursive sequences over finite fields that are used in digital communications and remote sensing.  In these applications\, one is interested in the spectrum of Weil sum values that are obtained as the coefficients in the binomial are varied.  We discuss topics of enduring interest: Archimedean and non-Archimedean bounds on the sums\, the number of values in the spectrum\, and the presence or absence of zero in the spectrum.  We indicate some important open problems and discuss progress that has been made on them.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-talk-by-daniel-katz-csun/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20181128T161500
DTEND;TZID=America/Los_Angeles:20181128T171500
DTSTAMP:20260430T061939
CREATED:20180928T171407Z
LAST-MODIFIED:20181115T191108Z
UID:851-1543421700-1543425300@colleges.claremont.edu
SUMMARY:Convolutional Dictionary Learning for Tomographic Reconstruction (Cristina Garcia-Cardona\, LANL)
DESCRIPTION:Convolutional sparse representation is an efficient tool for computing sparse representations for entire signals in terms of sums of a set of convolutions with dictionary filters. Unlike representations that are based on overlapping image patches\, the convolutional representation optimizes over the entire image\, yielding representations that are very sparse both spatially and across the filters. This technique has been successfully applied to natural images\, video and speech in tasks as diverse as denoising\, classification or superresolution. In this work\, we develop a convolutional dictionary learning framework for tomographic reconstruction. We apply the technique to simulated parallel beam tomography data and show that its performance is comparable to the state-of-the-art reconstruction techniques.
URL:https://colleges.claremont.edu/ccms/event/cristina-garcia/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
GEO:34.0999157;-117.7142668
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BEGIN:VEVENT
DTSTART;VALUE=DATE:20181201
DTEND;VALUE=DATE:20181202
DTSTAMP:20260430T061939
CREATED:20181103T190323Z
LAST-MODIFIED:20181103T190323Z
UID:939-1543622400-1543708799@colleges.claremont.edu
SUMMARY:Workshop on Nonlinear Analysis
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/workshop-on-nonlinear-analysis/
LOCATION:Shanahan\, concert hall
ORGANIZER;CN="Alfonso Castro":MAILTO:castro@g.hmc.edu
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