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SUMMARY:Emily Thompson (Monash University)
DTSTART:20210506T010000Z
DTEND:20210506T030000Z
DTSTAMP:20260423T035713Z
UID:WiSe/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WiSe/17/">Wh
 at is a hyperbolic knot?</a>\nby Emily Thompson (Monash University) as par
 t of What is ...? Seminar\n\n\nAbstract\nOne of the major advances in mode
 rn knot theory is the result of William Thurston that classifies all knots
  as one of three types: a torus knot\, a satellite knot\, or a hyperbolic 
 knot. When a knot is hyperbolic\, we can apply tools and results from hype
 rbolic geometry to study it. But what is a hyperbolic knot?!\n\nIn the fir
 st half of this talk we will discuss some general knot theory\, the upper 
 half space model of hyperbolic space\, and what makes a knot hyperbolic. I
 n the second half we will carefully step through the decomposition of the 
 figure-8 knot complement into two ideal tetrahedra and use this decomposit
 ion to prove that the figure-8 knot is hyperbolic.\n
LOCATION:https://researchseminars.org/talk/WiSe/17/
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