BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Contributed talk - Extended evaluation maps from knots to the embe
 dding tower - Danica Kosanović (Max-Planck-Institut für Mathematik\, Bon
 n)
DTSTART:20181206T163000Z
DTEND:20181206T170000Z
UID:TALK115429@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The evaluation maps from the space of knots to the associated 
 embedding tower are conjectured to be universal knot invariants of finite 
 type. Currently such invariants are known to exist only over the rationals
  (using the existence of Drinfeld associators) and the question of torsion
  remains wide open. On the other hand\, grope cobordisms are certain opera
 tions in ambient 3-space producing knots that share the same finite type i
 nvariants and give a geometric explanation for the appearance of Lie algeb
 ras and graph complexes.<br><br>I will explain how grope cobordisms and an
  explicit geometric construction give paths in the various levels of the e
 mbedding tower. Taking components recovers the result of Budney-Conant-Koy
 tcheff-Sinha\, showing that these invariants are indeed of finite type. Th
 is is work in progress joint with Y. Shi and P. Teichner.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR