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Tue
12/05/2017
4:00pm
Seminar: Algebra
Patching for proper schemes
Bastian Haase, Emory University
Contact: John Duncan, john.duncan@emory.edu
Venue: Mathematics and Science Center, Room W306
We discuss an extension of field patching to proper schemes. Then, we will introduce Tannaka duality for stacks as first developed by Lurie and then refined by Hall and Rydh. Their work allows us to patch morphisms from proper schemes to nice stacks, in particular certain moduli stacks. As an application of this result, we prove that patching holds for relative torsors which allows us to give a characterization for local-global principles for torsors over proper schemes. This is joint work with Daniel Krashen and Max Lieblich.