Calendar
Monday, September 9, 2024
Time  Items 

All day 

4:00pm 
09/09/2024  4:15pm
Location:
TBA
09/09/2024  4:30pm The Khovanov–Rozansky homology categorifies the classical Jones and HOMFLYPT polynomials. In this talk, we will explore how the KhovanovRozansky homology of the (m, n)torus knot can be derived from the finitedimensional representation of the rational Cherednik algebra at slope m/n, equipped with the Hodge filtration. This result confirms a conjecture by Gorsky, Oblomkov, Rasmussen, and Shende. Our approach involves the geometry of Hilbert schemes of points and character Dmodules. Numerous examples will be provided to introduce and clarify the main concepts. Location:
KT 801
