Knots and Graphs
VIGRE Working Group [Summer 2007]

Schedule

Week 1

 
Wed. June 20S. Chmutov,  Introduction. The Tutte polynbomial. Handout.
Fri. June 22S. Chmutov,  Ribbon graphs and the Bollobás-Riordan polynomial. Handout.

Week 2

 
Wed. June 27S. Chmutov,  Matroids. Handout.
Fri. June 29S. Chmutov,  Links and the Jones polynomial. Handout.

Week 3

 
Tue. July 3S. Chmutov,  Project #1. Invariants of virtual links.
Fri. July 6S. Chmutov,  Project #4. Reconstruction of graphs. Puzzles.

Week 4

 
Wed. July 11 Guest Lecture.
Neil Robertson
, Reconstruction problem for graphs.
Fri. July 13S. Chmutov,  Project #3. Strong maps of matroids and ribbon graphs.

Week 5

 
Wed. July 18S. Chmutov,  Project #2. Parallel connection. Universality of the Bollobás-Riordan polynomial.
Fri. July 20S. Chmutov,  Project #5. Lie algebras and weight systems.

Week 6

 
Wed. July 25 
Fri. July 27