23/10/2019, 14:00 — 15:00 — Room P3.10, Mathematics Building
Jorge António, Université Paul Sabatier (Toulouse III)
Derived Geometry and its applications
In this talk, we are going to present a user-friendly approach to derived geometry. One of our goals is to convince the audience that the notions of derived manifold / scheme / space / stack are just as natural as their classical counterparts. After having introduced the basic techniques, we will apply them to study certain moduli spaces of geometrical origin. Derived geometry also has recently found applications in arithmetics, which we will try to explain in the last part of the talk.