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： 理论科学研究院 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.
