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Applications of destackification

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Daniel Bergh (Stockholm University) - Oberseminar Darstellungstheorie

What
  • Oberseminar
When Nov 06, 2015
from 02:15 pm to 03:15 pm
Where Bonn, Raum 1.008, Mathematik-Zentrum, Endenicher Allee 60
Contact Name Sachinidis
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A stacky blow-up is a particularly well-behaved birational modification 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 ways to use it, including:

  • Stacky, weak factorisation of orbifolds (with Rydh).
  • A comparison theorem for equivariant categorical measures (with Gorshinsky, Larsen, Lunts).
  • Geometricity for the non-commutative schemes associated to certain stacks (with Lunts, Schnürer).