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DTSTART;TZID=America/Los_Angeles:20180925T121500
DTEND;TZID=America/Los_Angeles:20180925T131000
DTSTAMP:20260416T171647
CREATED:20180911T213219Z
LAST-MODIFIED:20180926T151534Z
UID:531-1537877700-1537881000@colleges.claremont.edu
SUMMARY:Quandle coloring quivers (Sam Nelson\, CMC)
DESCRIPTION:Given a finite quandle $X$\, a set $S \subset \mathrm{Hom}(X\,X)$ of quandle endomoprhisms\, and an oriented knot or link $L$\, we construct a quiver-valued invariant of oriented knots and links. This quiver categorifies the quandle counting invariant in the most literal sense and can be used to define many enhancements of the counting invariant. This is joint work with Harvey Mudd College student Karina Cho.
URL:https://colleges.claremont.edu/ccms/event/talk-by-sam-nelson-cmc/
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:20180926T161500
DTEND;TZID=America/Los_Angeles:20180926T171500
DTSTAMP:20260416T171647
CREATED:20180912T220655Z
LAST-MODIFIED:20180926T174030Z
UID:554-1537978500-1537982100@colleges.claremont.edu
SUMMARY:Snow Business: Scientific Computing in the Movies and Beyond (Joseph Teran\, UCLA)
DESCRIPTION:New applications of scientific computing for solid and fluid mechanics problems include simulation of virtual materials in movie visual effects and virtual surgery. Both disciplines demand physically realistic dynamics for materials like water\, smoke\, fire\, and soft tissues. New algorithms are required for each area. Teran will speak about the simulation techniques required in these fields and will share some recent results including: simulated surgical repair of biomechanical soft tissues; extreme deformation of elastic objects with contact; high resolution incompressible flow; and clothing and hair dynamics. He will also discuss a new algorithm used for simulating the dynamics of snow in Disney’s animated feature film\, “Frozen.”
URL:https://colleges.claremont.edu/ccms/event/scientific-computing-in-the-movies-and-beyond/
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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DTSTART;TZID=America/Los_Angeles:20180927T131500
DTEND;TZID=America/Los_Angeles:20180927T141500
DTSTAMP:20260416T171647
CREATED:20180925T052200Z
LAST-MODIFIED:20180926T052538Z
UID:619-1538054100-1538057700@colleges.claremont.edu
SUMMARY:Reaction-Diffusion Equations under Perturbations of the Domain (Professor Jose Arrieta\, Universidad Complutense de Madrid\, Spain)
DESCRIPTION:We analyze the behavior of the asymptotic dynamics of dissipative reaction-diffusion equations with Neumann boundary conditions when the domain where the equation is posed undergoes certain perturbation. We will focus on the behavior of the stationary solutions\, their local unstable manifolds and the attractors. \nWe will consider “regular” perturbations of the domain\, that is\, perturbations for which the spectra of the Laplace operator behaves continuously. In this case\, it turns out that if all the equilibria of the unperturbed system are nondegenerate (hyperbolic)\, then both the equilibria and their local unstable manifolds behave continuously under the perturbation. Exploiting the gradient properties of the flow we will show that the “attractors” also behave continuously. \nWe may also consider some “non-regular” perturbations of the domain. In this situation\, the problem needs to be studied and the technique adapted for each particular case. An interesting example of non regular perturbations is the “dumbbell domain” which consists in two domains joined by a very thin channel which degenerates to a line segment. We will describe the results obtained for this perturbation.
URL:https://colleges.claremont.edu/ccms/event/reaction-diffusion-equations-under-perturbations-of-the-domain/
LOCATION:Shanahan 3465\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Special Event
ORGANIZER;CN="Alfonso Castro":MAILTO:castro@g.hmc.edu
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