S M T W T F S
  01 02 03 04 05 06
07 08 09 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30 31      

Topology Seminar

SPEAKER:  Prof. Colin Adams, Williams College

TITLE:  Turning Knots into Flowers

ABSTRACT:  Knots have traditionally been investigated by considering projections with crossings where two strands of the knot cross one another. Here, we consider multi-crossings (or n-crossings) where n strands of the knot cross at a single point. We show that for each integer n greater than or equal to 2, every knot has a projection made up entirely of n-crossings, and therefore a minimal n-crossing number c_n(K). We

investigate what is known about c_n(K) and then show that for every knot there is an n such that c_n(K) = 1. In fact, every knot has a projection with a single multi-crossing that looks like a daisy. We will consider the implications of this.

Where

Ayres Hall

Room 405
Knoxville , TN

When

Tuesday, 13 November, 2012

Who to contact

Contact:

Phone: 974-2463
Website: Click to Visit

Cost:

Free