Number Theory Seminar by Daniel Bergh (MPIM Bonn)
Daniel Bergh (MPIM Bonn) will give a Number Theory Seminar on Wednesday, Jan. 20 in aud 5, starting 13:15.
Title: Applications of destackification.
Abstract: Stacky blow-ups are particularly well-behaved birational modifications of algebraic stacks. We give an algorithm which can be used to modify certain smooth stacks such that they become smooth schemes by using sequences of stacky blow-ups.Since this removes the "stackiness" from the stack in a controlled way, we call the process destackification. I will briefly describe what destackification is and mention some possible applications. More specifically, I will mention some results from two ongoing projects:
* Geometricity for derived categories of algebraic stacks (with Lunts, Schnürer).
* A comparison theorem for equivariant categorical measures (with Gorshinsky, Larsen, Lunts).