中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
学术报告
表示论讨论班
Speaker: Aritra Bhattacharya (BICMR)
Inviter: 杨若涛
Language: English
Title: On factorization of matrix of Kazhdan-Lusztig polynomials
Time & Venue: 2026年4月23日（星期四）14: 00 - 15: 00 & 南楼N818
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 I will describe a factorization of this positivity via certain intermediate bases called the hybrid bases. I 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 Shrivastava.
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