报告人：吕志 教授（复旦大学）

主持人：邱瑞锋

直播渠道：ZOOM  房间号：274 175 4144  密码：930643

房间链接：https://cernet.zoom.com.cn/j/2741754144?pwd=TzRiV0gwT2l0NU1CRWtmODlpRUdrZz09

报告时间：2020年05月23日14:50-15：50

报告内容简介：In this talk we first recall the development on the study of  the (equivariant) unitary bordism of unitary manifolds, and list some problems. We show that the equivariant unitary bordism is determined by ordinary equivariant cohomology  Chern numbers, which answers the conjecture posed by Guillemin--Ginzburg—Karshon. One of our approaches is the use of the toric genus and the Kronecker pairing of bordism and cobordism; another approach is that  we employ the method of tom Dieck, which has successfully been used to deal with the case of equivariant unoriented bordism. In addition, we also answer the Buchstaber–Panov–Ray Problem in 2010 as follows: “for any set of complex $T^k$-representations $W_x$, is there a necessary and sufficient conditions for the existence of a tangentially stably complex $T^k$-manifold with the given representations as fixed point data?”   This talk is based on the joint work with Jun Ma and Wei Wang