Home | Sitemap | Contact | Chinese | CAS
Search: 
About AMSS Research People International Cooperation News Societies & Journals Papers Resources Education & Training Join Us Links
Research
Location: Home >  Research >  Colloquia & Seminars
(2018.12.20)ARIKI, susumu:Lifting Schur positive polynomials to Kashiwara crystals
Author:
ArticleSource:
Update time: 2018-12-14
Close
A A A
Print
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

ARIKI, susumu,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.

 

 

 

Appendix:
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: contact@amss.ac.cn