Sources of flexibility in differential topology

Time: 17:00 - August 28, 2025

Venue: Room 612, A6, Institute of Mathematics-VAST

Online (Join Zoom Meeting) tại link: https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

Abstract: Convex integration and the holonomic approximation theorem are two well-known pillars of flexibility in differential topology and geometry. They may each seem to have their own flavor and scope. After explaining what flexibility means in this context and recalling what those pillars are, I will explain this apparent dichotomy is an illusion: the first order holonomic approximation theorem is actually a consequence of convex integration. This will be a very elementary talk as the heart of the discussion is all about differentiable maps between finite dimensional vector spaces. This is joint work with Mélanie Theillière.