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DESCRIPTION: The square peg problem is at least 106 years old and still uns
olved in full generality. It asks whether any simple closed curve in the pl
ane inscribes a square. By “inscribes a square” we mean that the curve cont
ains the four vertices of a square. The square itself may intersect both th
e bounded and unbounded components. Substantial progress on the problem has
been made using methods from equivariant topology: Piecewise linear\, anal
ytic\, convex\, and locally monotone curves are all known to inscribe squar
es. We present a recent positive result by T. Tao that takes an entirely di
fferent\, “analytical” approach involving areas defined by line integrals a
nd Stokes’ theorem.
DTSTAMP:20170602T124800
DTSTART:20170614T100000
CLASS:PUBLIC
LOCATION:Seminar Room
SEQUENCE:0
SUMMARY:Disputation Albert Haase
UID:76954309@/www.mi.fu-berlin.de
URL:https://www.mi.fu-berlin.de/math/groups/discgeom/dates/datesmay2017/Def
enseAlbertHaase.html
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