时间:2024年7月26日(星期五)15:30-16:30
地点:西湖大学云谷校区E10-312
主持人:理论开云app官网下载安卓 院 魏传豪
主讲人:斯特拉斯堡大学 傅列
报告主题:Maximal real varieties via moduli spaces
报告摘要:The Smith-Thom inequality implies that given an algebraic variety defined over the real numbers, the total F_2-Betti number of its real locus must be no greater than the total F_2-Betti number of the associated complex variety. A real variety is called maximal if the equality holds. It is a central question in real algebraic geometry to construct and study maximal real varieties. The available constructions in the literature are mostly for hypersurfaces or in low dimension. I will report on my recent work on a series of new constructions of maximal real varieties using moduli spaces of vector bundles or algebraic cycles on real algebraic curves and surfaces. The talk is based on arXiv: 2303.03368.