The next CART seminar is scheduled for Apr 17th (Fri), 10:30 - 11:30 in Korea time (9:30 - 10:30 in Beijing).

Speaker: Aritra Bhattacharya (Beijing International Center for Mathematical Research)

Title: On factorization of matrix of Kazhdan-Lusztig polynomials

Abstract: The famous Kazhdan-Lusztig positivity states that the transition matrix between the canonical basis and the standard basis of the Hecke algebra (of a Weyl group) is a matrix with polynomial entries with non-negative integer coefficients. In this talk we will describe a factorization of this positivity via certain intermediate bases called the hybrid bases. We will also present a reformulation of the statements in terms of a natural restriction map on Hecke algebras. This framework also subsumes the positivity of parabolic Kazhdan-Lusztig polynomials corresponding to the sign representations. This is joint work with Ashish Mishra and Shraddha Srivastava.

You can join the seminar via the following

Zoom link:  https://kias-re-kr.zoom.us/j/89659176224?pwd=TLxuQ7yKEqgGCnnBb6NxDE8z20J6lM.1

Meeting ID: 896 5917 6224

Password: 947850

Please feel free to forward this to anyone who might be interested. You can check out further information on CART seminar on our website (https://sites.google.com/view/cart-kias/).

Looking forward to seeing you at the seminar!

Best regards,

Sin-Myung Lee