Math Graduate Student Seminar
Kazhdan-Lusztig polynomials are of fundamental importance in representation theory. In this talk, we explain two beautiful formulae that relates the Kazhdan-Lusztig polynomials to extension groups in the BGG category. One of the formulae is an inequality and is still yet to be fully understood. If time permits, I will also comment on the combinatorial aspects of the Kazhdan-Lusztig polynomials.