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DTSTART:20070311T020000
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DTSTART:20071104T020000
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UID:2af716ec-03a2-4b8f-8fda-66118686e4b2.215440@calendar.missouristate.edu
CREATED:20210129T135601Z
LAST-MODIFIED:20210129T135601Z
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SUMMARY:Mathematics Colloquium via Zoom
DESCRIPTION:Nonlinear projection theory in geometry and harmonic analysis\
 n\n\nDr. Krystal Taylor\n\n\nThe Ohio State University\n\n\nAbstract: The
 re are many classical results relating the geometry\, dimension\, and mea
 sure of a set to the structure of its orthogonal projections. It turns ou
 t that many nonlinear projection-type operators also have special geometr
 y that allows us to build similar relationships between a set and its “pr
 ojections\,” just as in the linear setting. We will dis- cuss a series of
  recent results from both geometric and probabilistic vantage points. In 
 particular\, we will see that the multi-scale analysis techniques of Tao\
 , as well as the energy techniques of Mattila\, can be strengthened and g
 eneralized to projection-type operators satisfying a transversality condi
 tion. As an application\, we find upper and lower bounds for the rate of 
 decay of the Favard curve length of the four- corner Cantor set.\n\n\nZoo
 m ID: 936 2657 5714\n\n\nPasscode available upon request
X-ALT-DESC;FMTTYPE=text/html:&lt;html&gt;&lt;head&gt;&lt;title&gt;&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;p&gt;&lt;s
 trong&gt;Nonlinear projection theory in geometry and harmonic analysis&lt;/stro
 ng&gt;&lt;/p&gt;\n&lt;p&gt;&lt;strong&gt;Dr. Krystal Taylor&lt;/strong&gt;&lt;/p&gt;\n&lt;p&gt;&lt;strong&gt;The Ohio 
 State University&lt;/strong&gt;&lt;/p&gt;\n&lt;p&gt;&lt;em&gt;Abstract:&amp;nbsp\;&lt;/em&gt;&lt;span&gt;There ar
 e many classical results relating the geometry\, dimension\, and measure 
 of a set to the structure of its orthogonal projections. It turns out tha
 t many nonlinear projection-type operators also have special geometry tha
 t allows us to build similar relationships between a set and its “project
 ions\,” just as in the linear setting. We will dis- cuss a series of rece
 nt results from both geometric and probabilistic vantage points. In parti
 cular\, we will see that the multi-scale analysis techniques of Tao\, as 
 well as the energy techniques of Mattila\, can be strengthened and genera
 lized to projection-type operators satisfying a transversality condition.
  As an application\, we find upper and lower bounds for the rate of decay
  of the Favard curve length of the four- corner Cantor set.&lt;/span&gt;&lt;/p&gt;\n&lt;
 p&gt;&lt;span&gt;&lt;span&gt;Zoom ID: 936 2657 5714&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;\n&lt;p&gt;&lt;span&gt;&lt;span&gt;Pa
 sscode available upon request&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;/body&gt;&lt;/html&gt;
DTSTART;TZID=America/Chicago:20210203T033000
DTEND;TZID=America/Chicago:20210203T043000
SEQUENCE:0
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CATEGORIES:Public,Current Students,Faculty
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