ODTÜ-BÝLKENT ALGEBRAIC GEOMETRY SEMINAR

 

 

 

 

“Tait's conjectures”

 

 

by

 

Deniz Kutluay

 

 

 

 

 

Abstract: P.G. Tait conjectured, in 1898, that a reduced alternating diagram of a knot achieves the minimum possible number of crossings for that knot (1), and writhe of such diagrams of the same knot is the same (2). We will first give K. Murasugi's proof to (1) which involves usage of Jones polynomial. We will then use the idea of taking parallels of diagrams (due to R.A. Stong) to prove (2).

 

 

 

 

Date:  5 March 2010 Friday
Time: 15:40
Place: Bilkent, Mathematics Seminar Room SA-141

 

Tea and cookies will be served before the talk.