What is... a derived deformation problem?

Vortrag von Dr. Pavel Safronov

Datum: 10.10.17  Zeit: 17.15 - 18.30  Raum:

Derived geometry has been developed to address issues arising in geometry from a consideration of spaces with intrinsic symmetry or some singular spaces arising as complicated intersections. It has been successful both in pure mathematics and theoretical physics where derived geometric structures appear in quantum gauge field theories such as the theory of quantum electrodynamics. Recently Lurie, Pridham and others have developed a transparent approach to deformation theory, i.e. the theory of approximations of algebraic structures, using the language of derived algebraic geometry. I will motivate the theory on some basic examples and explain one of the main theorems in the subject.