Courses and program
Thursday (6
june 2013)
|
Friday (7 june 2013) |
9.45h - 11.15h
|
Wagner 1
|
9.15h - 10.45h
|
Turner 2
|
11.45h - 12.45h
|
Turner 1
|
11.15h - 12.15h
|
Wagner 3
|
|
|
|
|
14.30h - 16.00 h
|
Wagner 2
|
13.45h - 15.15h
|
Turner 3
|
1. Introduction to knot homologies (Emmanuel
Wagner - Univ. Bourgogne, France)
We give an introduction to the categorification process in knot
theory.
We will focus mainly on two examples: the original Khovanov's
categorification of the Jones polynomial
and the categorification of the HOMFLYPT polynomial by Khovanov and
Rozansky.
2. Homotopy theory in Khovanov homology (Paul Turner -
Univ. Geneva, Switzerland)
I will discuss two approaches to importing homotopy theory into Khovanov homology.
The first will be a homotopy theoretic interpretation of Khovanov homology using homotopy limits
(following the work of Everitt and Turner) and the second will be a discussion of Khovanov
homotopy type (following the work of Lipshitz and Sarkar).