Derived Differentiable Manifolds
发布时间:2022年10月29日
浏览次数:3412
发布者: Wenqiong Li
主讲人: 徐平(宾夕法尼亚州立大学)
活动时间: 从 2022-11-01 14:00 到 15:00
场地: 北京国际数学研究中心,全斋全29教室
One of the main motivations behind derived differential geometry is to deal with singularities arising from zero loci or intersections of submanifolds. Both cases can be considered as fiber products of manifolds which may not be smooth in classical differential geometry. Thus we need to extend the category of differentiable manifolds to a larger category in which one can talk about "homotopy fiber products". In this talk, we will discuss a solution to this problem in terms of dg manifolds. The talk is mainly based on a joint work with Kai Behrend and Hsuan-Yi Liao.