University of Sydney Algebra Seminar

Nicolas Libedinsky (University of Chile)

Friday 11 August, 2:30-3:30pm, Place: Carslaw 375

The anti-spherical category

I will explain the definition of Kazhdan-Lusztig polynomials and its parabolic version. I will calculate an example. Then I will introduce Soergel bimodules, the anti-spherical category and explain the recent proof (joint with G. Williamson) of the positivity of parabolic Kazhdan-Lusztig polynomials for arbitrary Coxeter groups and arbitrary parabolic subrgoup.