腾讯会议 ID：964 623 155
邀请人：周海燕教授
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) meetsMin 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 frst defined by Thas (1981). The concept of an ovoid was later generalized to that of an m-ovoid by Thas (1989) and Shult/Thas (1994). We discuss a new method for constructing m-ovoids in the symplectic polar space W(2r-1; 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.