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Jarod Alper: Valuative criteria for moduli problems

Tid: On 2018-09-19 kl 13.15 - 15.00

Plats: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University

Medverkande: Jarod Alper (University of Washington)

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We will discuss various valuative criteria for algebraic stacks that hold for many moduli problems parameterizing objects that may have positive dimensional stabilizers (eg. semistable vector bundles over a curve). We have three applications in mind: (1) existence of Cartan—Iwahori decompositions for reductive groups, (2) semistable reduction theorems for moduli problems, and (3) existence of moduli schemes/algebraic spaces parameterizing objects up to S-equivalence.

This is joint work with Daniel Halpern-Leistner and Jochen Heinloth.

Tillhör: Stockholms Matematikcentrum
Senast ändrad: 2018-09-14