Courant Series,
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Contents |
Courant Lecture Series, May 19-22, 2009
Speaker
Joel Kamnitzer (University of Toronto) on Construction of knot homology using geometric Langlands duality.
Contact
Everybody is invited to attend the second Lecture Series of the Courant Research Centre in Göttingen. For any further information about the lecture series please contact Chenchang Zhu.
Schedule
| Time | ||
| May 19, 15:00--16:00 Hoersaal 4 | Categorification of Reshetikhin-Turaev invariants using the geometric Satake correspondence | Following ideas of Jones and Witten, Reshtikhin-Turaev defined knot and tangle invariants using quantum groups. More recently Khovanov has proposed categorifying these invariants to obtain knot homology theories. I will explain a program, developed with Sabin Cautis, for carrying out this construction using geometric Satake correspondence. This correspondence relates the tensor category of representations of a reductive group to the topology of the affine Grassmannian for the Langlands dual group. |
| May 20, 15:00--16:00 Maximum | Khovanov homology and derived categories of coherent sheaves | In this talk, I will explain Khovanov's categorification of the Jones polynomial. Then, I will show how we can use the construction explained in the first lecture to reconstruct this homology theory. |
| May 21 | dinner | |
| May 22, 16:00--18:00 Hoersaal 2 | Categorical sl(2) actions and equivalences of categories | In the final talk, we will discuss categorification of RT invariants for fundamental representations of sl(m). We will see how these can be constructed using Chuang-Rouquier's theory of categorical sl(2) actions. |
Room: Mathematics Institute Göttingen
