Time：15:30-16:30, Friday, July 26 2024
Venue：E10-312
Host：Chuanhao Wei, ITS
Speaker：Lie Fu, Université de Strasbourg
Title：Maximal real varieties via moduli spaces
Abstract: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.
