Derived Differentiable Manifolds
Time: 2022-10-29
Published By: Wenqiong Li
Speaker(s): Ping Xu (The Pennsylvania State University)
Time: 14:00-15:00 November 1, 2022
Venue: Room 29, Quan Zhai, BICMR
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.
