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DESCRIPTION: The classical Borsuk--Ulam theorem states that any continuous
map from the d-sphere to d-space identifies two antipodal points. Over the
last 90 years numerous applications of this result across mathematics have
been found. I will survey some recent progress\, such as results about the
structure of zeros of trigonometric polynomials\, which are related to conv
exity properties of circle actions on Euclidean space\, a proof of a 1971 c
onjecture that any closed spatial curve inscribes a parallelogram\, and fin
ding well-behaved smooth functions to the unit circle in any closed finite
codimension subspace of square-intergrable complex functions.
DTSTAMP:20210105T150700
DTSTART:20210118T141500
CLASS:PUBLIC
LOCATION:online
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SUMMARY:Florian Frick (Carnegie Mellon University): New applications of the
Borsuk--Ulam theorem
UID:107739270@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20210118-L-Frick.html
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