报告人:向青教授 (南方科技大学)

报告时间:2022年4月13日(周三)下午15:30-16:30

腾讯会议:329-756-437

报告摘要:An m-ovoid in the symplectic polar space W(2r  1, q) is a set M of points such that every maximal of W(2r  1, q) meets M in exactly m points. A 1-ovoid in W(2r  1, q) is simply called an ovoid. Ovoids in W(2r  1, q) (and more generally in any classical polar space) were first defined by Thas (1981). The concept of an ovoid was later generalized to that of m-ovoid by Thas (1989) and Shult/Thas (1994). We discuss a new method for constructing m-ovoids in the symplectic polar space W(2r1, q) from cyclotomic strongly regular graphs constructed in a paper by Brouwer, Wilson and Xiang (1999). Using this method, we obtain many new m-ovoids which can not be derived by field reduction. This talk is based on joint work with Tao Feng and Ye Wang, both of Zhejiang University


邀请人:季利均