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DTSTART;TZID=America/Los_Angeles:20211026T150000
DTEND;TZID=America/Los_Angeles:20211026T160000
DTSTAMP:20260415T201023
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
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SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-10-26/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211012T150000
DTEND;TZID=America/Los_Angeles:20211012T160000
DTSTAMP:20260415T201023
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195957Z
UID:2355-1634050800-1634054400@colleges.claremont.edu
SUMMARY:Topology Seminar -- Matthew vonAllmen
DESCRIPTION:Title: Untying Knots with Neural Nets \nAbstract: Neural networks can transform 3-dimensional data in a manner reminiscent of an ambient isotopy. With some modifications\, a neural network can be trained to manipulate the vertices of a knot while respecting its topological structure. We use the discrete Mo ̈bius energy as a loss function to incentivize a neural network to smooth out curves in a knot\, without performing illegal operations. By introducing unconventional neural network layers\, we are able to untwist highly tangled polygonal knots until a human can visually recognize whether they are topologically equivalent to the unknot.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-12/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211005T150000
DTEND;TZID=America/Los_Angeles:20211005T160000
DTSTAMP:20260415T201023
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T230121Z
UID:2354-1633446000-1633449600@colleges.claremont.edu
SUMMARY:Topology Seminar -- Jim Hoste
DESCRIPTION:Jim Hoste will do an interpretive knot dance.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-05/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210928T150000
DTEND;TZID=America/Los_Angeles:20210928T160000
DTSTAMP:20260415T201023
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225958Z
UID:2339-1632841200-1632844800@colleges.claremont.edu
SUMMARY:Topology Seminar -- Robert Bowden
DESCRIPTION:Robert Bowden will tell us fantastic things he did at PSU.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210921T150000
DTEND;TZID=America/Los_Angeles:20210921T160000
DTSTAMP:20260415T201023
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225937Z
UID:2338-1632236400-1632240000@colleges.claremont.edu
SUMMARY:Topology Seminar -- Sam Nelson
DESCRIPTION:Sam Nelson will wow us with his maths.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20210201T150000
DTEND;TZID=America/Los_Angeles:20210201T160000
DTSTAMP:20260415T201023
CREATED:20210112T175201Z
LAST-MODIFIED:20210126T180607Z
UID:2098-1612191600-1612195200@colleges.claremont.edu
SUMMARY:Applied math. talk: Searching for singularities in Navier-Stokes flows using variational optimization methods by Di Kang\, McMaster University\, Canada
DESCRIPTION:Abstract: In the presentation we will discuss our research program\nconcerning the search for the most singular behaviors possible in viscous\nincompressible flows. These events are characterized by extremal growth of \nvarious quantities\, such as the enstrophy\, which control the regularity of the solution. \nThey are therefore intimately related to the question of possible singularity formation \nin the 3D Navier-Stokes system\, known as the\nhydrodynamic blow-up problem. We demonstrate how new insights\nconcerning such questions can be obtained by formulating them as\nvariational PDE optimization problems which can be solved\ncomputationally using suitable discrete gradient flows. More\nspecifically\, such an optimization formulation allows one to identify\n"extreme" initial data which\, subject to certain constraints\, leads to\nthe most singular flow evolution.  In offering a systematic approach\nto finding flow solutions which may saturate known estimates\, the\nproposed paradigm provides a bridge between mathematical analysis and\nscientific computation. In particular\, it makes it possible to\ndetermine whether or not certain mathematical estimates are "sharp"\,\nin the sense that they can be realized by actual vector fields\, or if\nthese estimates may still be improved. In the presentation we will\nreview a number of results concerning 1D and 2D flows characterized by\nthe maximum possible growth of different Sobolev norms of the\nsolutions.  As regards 3D flows\, we focus on the enstrophy which is a\nwell-known indicator of the regularity of the solution. We find a family of initial \ndata with fixed enstrophy which leads to the largest possible growth of this quantity \nat some prescribed final time. Since even with such worst-case initial data the\nenstrophy remains finite\, this indicates that the 3D Navier-Stokes\nsystem reveals no tendency for singularity formation in finite time.\n\n[joint work with Dongfang Yun and Bartosz Protas]
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-searching-for-singularities-in-navier-stokes-flows-using-variational-optimization-methods-by-di-kang-mcmaster-university-canada/
LOCATION:Zoom meeting\, United States
CATEGORIES:Applied Math Seminar
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