MATH Seminar

Title: Patching for proper schemes
Seminar: Algebra
Speaker: Bastian Haase of Emory University
Contact: John Duncan, john.duncan@emory.edu
Date: 2017-12-05 at 4:00PM
Venue: W306
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Abstract: 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.