Knots and Graphs
VIGRE Working Group [Summer 2006]

Schedule

Week 1

 
Tue. June 20S. Chmutov,  Introduction. The Kauffman bracket.
Thu. June 22S. Chmutov,  Ribbon graphs and the Bollobás-Riordan polynomial.

Week 2

 
Tue. June 27 Pramod Achar,  Complex Reflection group,   special video-lecture from the Louisiana State University.
Thu. June 29S. Chmutov,  Matroids.

Week 3

 
Thu. July 6S. Chmutov,  Vassiliev knot invariants.

Week 4

 
Tue. July 11S. Chmutov,  Projects overview.
Thu. July 13Video conference with LSU,
LSU presenters:
      Mary Radcliffe, Clock Lattices of Plane Graph Spanning Trees.
      Robin Lassonde, Flow Algebra in C.
      Mike Locke, Bipartite Dessins and Tiger Graphs.
OSU presenters:
      Shaun Van Ault, Computer programs for the Kauffman bracket, the Jones polynomial, and the Bollobás-Riordan polynomial.
      Michael (Cap) Khoury, Polyak-Viro formulas for Vassiliev invariants.

Week 5

 
Tue. July 18Shaun Van Ault,  Coefficients of the Kauffman bracket.

Week 6

 
Tue. July 25Jeremy Voltz,  Thistlethwaite's theorem for virtual links.

Week 7

 
Fri-Sun. August 4-6 Young Mathematicians Conference,

Week 8

 
Thu. August 10Nicholas Kefauver, Nishali Mehta, Alex Mominee,  The Tutte, flow, and tension polynomials of graphs.

Week 9

 
Tue. August 15James Sharpnack, Justin Wiser,  Hamilton cycles in Cayley graphs.
Thu. August 17Charles Estill, Daniel Grollmus, Min Ro,  Strong maps of matroids.

Week 10

 
Tue. August 22Michael Khoury, Alfred Rossi,  Polyak-Viro formulas for Vassiliev invariants.