On the center conjecture for the cyclotomic Hecke algebras and cyclotomic KLR algebras
报告人：胡峻
报告地点：腾讯会议ID:611 384 594
报告时间：2022年11月17日星期四13:30-14:15
邀请人：陈良云
报告摘要：
The center conjecture for the cyclotomic Hecke algebra of type G(r,1,n) asserts that its center consists of symmetric polynomials in its Jucys-Murphy operators and its dimension is independent of the characteristics of the ground field and defining parameters. There are similar conjectures for the cyclotomic KLR algebras. In this talk I shall report our recent proof of these two conjectures (arXiv: 2211.07069). This talk is based on a joint work with Shi Lei.
主讲人简介：
胡峻，北京理工大学数学与统计学院教授、博导，国家杰出青年科学基金获得者，教育部新世纪人才支持计划入选者，德国洪堡学者。主要从事代数群、李代数、量子群、Hecke代数、KLR代数及Schur代数等的结构与表示的研究，在包括Adv. Math.、Proc. Lond. Math. Soc.、Trans. Amer. Math. Soc.、Math. Ann.、J. Reine Angew. Math.等著名期刊发表高水平学术论文60余篇，并主持多项国家自然科学基金。
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