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DTSTART;TZID=America/Los_Angeles:20190422T161500
DTEND;TZID=America/Los_Angeles:20190422T171500
DTSTAMP:20260417T195213
CREATED:20190413T180615Z
LAST-MODIFIED:20190417T181832Z
UID:1302-1555949700-1555953300@colleges.claremont.edu
SUMMARY:Applied Math Talk: Nonlocal problems for linear evolution equations (Prof. Smith David Andrew\, Yale-NUS College\, Singapore)
DESCRIPTION:Linear evolution equations\, such as the heat equation\, are commonly studied on finite spatial domains via initial-boundary value problems. In place of the boundary conditions\, we consider “multipoint conditions”\, where one specifies some linear combination of the solution and its derivative evaluated at internal points of the spatial domain\, and “nonlocal” specification of the integral over space of the solution against some continuous weight.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-nonlocal-problems-for-linear-evolution-equations-prof-smith-david-andrew/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190423T121500
DTEND;TZID=America/Los_Angeles:20190423T131000
DTSTAMP:20260417T195213
CREATED:20190312T201357Z
LAST-MODIFIED:20190312T201357Z
UID:1273-1556021700-1556025000@colleges.claremont.edu
SUMMARY:Theory of vertex Ho-Lee-Schur graphs (Sin-Min Lee\, SJSU)
DESCRIPTION:A triple of natural numbers (a\,b\,c) is an S-set if a+b=c. I. Schur used the S-sets to show that for n >3\, there exists s(n) such that for prime p > s(n)\, x^p + y^p = z^p (mod p) has a nontrivial solution. A (p\,q)-graph G is said to be vertex Ho-Lee-Schur graph if there exists a bijection f: V(G) –> {1\,2\,…\,p} such that for each C3 subgraph of G with vertices {x\,y\,z} the triple (f(x)\,f(y)\,f(z)) is an S-set. The VHLS deficiency of G is the smallest k such that GU Nk\, where Nk is null graph\,  is a vertex Ho-Lee-Schur graph. We determine VHLS deficiency of some graphs and show that no Kuratowski type characterization of non-vertex Ho-Lee-Schur graphs. Some relation of integer partitions and this theory  is explored. We will also introduce some unsolved problems and invite the audience to  solve them.
URL:https://colleges.claremont.edu/ccms/event/theory-of-vertex-ho-lee-schur-graphs-sin-min-lee-sjsu/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190424T161500
DTEND;TZID=America/Los_Angeles:20190424T171500
DTSTAMP:20260417T195213
CREATED:20190301T183238Z
LAST-MODIFIED:20190418T184215Z
UID:1256-1556122500-1556126100@colleges.claremont.edu
SUMMARY:A Conformal Mapping Approach to Shape Optimization Problems. (Kao\, CMC)
DESCRIPTION:Abstract: In this talk\, a conformal mapping approach to shape optimization problems on planar domains will be discussed. In particular\, spectral methods based on conformal mappings are proposed to solve Steklov eigenvalues and their related shape optimization problems in two dimensions. To apply spectral methods\, we first reformulate the Steklov eigenvalue problem in the complex domain via conformal mappings. The eigenfunctions are expanded in Fourier series so the discretization leads to an eigenvalue problem for coefficients of Fourier series. For shape optimization problems\, we use gradient ascent approaches to find optimal domains that maximize objective functions involving Steklov eigenvalues.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-kao-cmc/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20190425T120000
DTEND;TZID=America/Los_Angeles:20190425T133000
DTSTAMP:20260417T195213
CREATED:20190330T132122Z
LAST-MODIFIED:20190330T132122Z
UID:1289-1556193600-1556199000@colleges.claremont.edu
SUMMARY:A (Z⊕Z)-family of knot quandles (Jim Hoste\, Pitzer College)
DESCRIPTION:Suppose K is an oriented knot in a 3-manifold M with regular neighborhood N (K). For each element γ ∈ π 1 (∂N (K)) we define a quandle Q γ (K; M) which generalizes the concept of the fundamental quandle of a knot. In particular\, when γ is the meridian of K\, we obtain the fundamental quandle. The collection of all such quandles gives a (Z⊕Z)-family of quandles. If K is a knot in M and γ is a primitive element\, then we show that there exists a knot K’ in a 3-manifold M’ such that Q γ (K; M ) ∼= Q μ (K’ ; M’) where μ is the meridian of K’ . Starting with a partially framed link L in the 3-sphere where the framed components give a surgery description of the manifold M and a single unframed component represents K we can derive a similar surgery description of K’ in M’ . Using results of Fenn and Rourke\, we may then use this description of K’ to record a presentation of the quandle Q γ (K; M). We describe a number of examples of these quandles for knots\nin various manifolds.
URL:https://colleges.claremont.edu/ccms/event/a-z%e2%8a%95z-family-of-knot-quandles-jim-hoste-pitzer-college/
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
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