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DTSTART:20171206T120000
DTEND:20171206T130000
SUMMARY:Talk by Niels Martin Møller: Deforming Curves and Surfaces to Optimality
DESCRIPTION:<p>Talk by Assistant professor Niels Martin M&oslash;ller, Department of Mathematical Sciences, KU.\n</p>\n<p><strong>Abstract:</strong> I will start with the geometric background and differential\nequations for some optimal shapes. Their dynamical versions which\nseek to deform curves in the plane, or hypersurfaces in Euclidean\nspace (resp. abstract spaces), towards minimal length or area (resp.\nconstant curvatures) are then discussed. This can be (and has been)\nused to answer some outstanding questions about the nature of\ngeometric spaces in various contexts.\n</p>\n<p>In general, however, such an approach quickly meets the issue of\nsingularities (solitons) forming, which prevents the process from continuing.\nThis is an aspect closely connected to general notions of minimal surfaces.\nHere I will also mention some of my own recent work regarding\nwhat such singularities can (and cannot possibly) look like.\n</p>\n<p>In working with this subject, many well-known (partial) differential\nequations from elementary classical electromagnetism and from\nquantum physics show up. I will explain all the material using\nplenty of pictures and other illustrations.\n</p>\n<p>Everybody is welcome!\n</p>\n<p><strong>Contact:</strong> Steen Markvorsen, stema@dtu.dk\n</p>
X-ALT-DESC;FMTTYPE=text/html:<p>Talk by Assistant professor Niels Martin M&oslash;ller, Department of Mathematical Sciences, KU.\n</p>\n<p><strong>Abstract:</strong> I will start with the geometric background and differential\nequations for some optimal shapes. Their dynamical versions which\nseek to deform curves in the plane, or hypersurfaces in Euclidean\nspace (resp. abstract spaces), towards minimal length or area (resp.\nconstant curvatures) are then discussed. This can be (and has been)\nused to answer some outstanding questions about the nature of\ngeometric spaces in various contexts.\n</p>\n<p>In general, however, such an approach quickly meets the issue of\nsingularities (solitons) forming, which prevents the process from continuing.\nThis is an aspect closely connected to general notions of minimal surfaces.\nHere I will also mention some of my own recent work regarding\nwhat such singularities can (and cannot possibly) look like.\n</p>\n<p>In working with this subject, many well-known (partial) differential\nequations from elementary classical electromagnetism and from\nquantum physics show up. I will explain all the material using\nplenty of pictures and other illustrations.\n</p>\n<p>Everybody is welcome!\n</p>\n<p><strong>Contact:</strong> Steen Markvorsen, stema@dtu.dk\n</p>

URL:https://www.dtu.dk/da/sitecore/content/Institutter/Compute/DTU_Compute_OLD/Forside/Kalender/2017/12/Talk-by-Niels-Martin-Moeller
DTSTAMP:20260606T073400Z
UID:{7CE5A9B0-A9FA-47FF-B774-410CBF936152}-20171206T120000-20171206T120000
LOCATION: Matematicum, room 134, Building 303B.
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