Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	ARIKI, susumu (有木進)，Osaka University
Inviter:
Title:	Lifting Schur positive polynomials to Kashiwara crystals
Time & Venue:	2018.12.20 16:30-17:30 N913
Abstract:	Masaki Kashiwara, a recipient of Kyoto prize and Chern medal this year, invented Kashiwara crystal in early 1990’s. In type A, highest weight crystals give Schur polynomials as their characters. A Schur positive polynomial is a symmetric polynomial with integral coefficients which admits expression as (positive) sum of Schur polynomials. For a Schur positive polynomial, we may expect that there exists a crystal whose character is the given polynomial such that an isomorphism of crystals explains the identity that it is equal to sum of Schur polynomials. We give several examples of this kind. They include those using ghost leg or grid class. 注：该讲座茶点受到中链科技有限公司的资助