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SUMMARY:Invariants of Random Knots - Chaim Even Zohar (Hebrew University o
 f Jerusalem)
DTSTART:20150324T163000Z
DTEND:20150324T173000Z
UID:TALK58651@talks.cam.ac.uk
CONTACT:John Shimmon
DESCRIPTION:Random curves in space and how they are knotted give an insigh
 t into the behaviour of "typical" knots and links. They have been studied 
 by biologists and physicists in the context of the structure of random pol
 ymers. There have been many results obtained via computational experiment\
 , but few explicit computations. \nIn work with Hass\, Linial and Nowik\, 
 we study random knots based on petal projections\, developped by Adams et 
 al. (20120. We have found explicit formulas for the distribution of the li
 nking number of a two component link. We also find formulas for the moment
 s of two finite invariants of knots\, the Casson invariant and another coe
 fficient of the Jones polynomial.\nNo background in Knot Theory will be su
 pposed. All the terms above will be explained.\n\nJoint work with Joel Has
 s\, Nati Linial and Tahl Nowik.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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