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Algebra Seminar

Friday, October 29, 2021 - 3:30pm

Nadia Ott

University of Pennsylvania


University of Pennsylvania


Artin’s theorems on approximation and algebraization of
formal deformations and stacks give general criteria for
functors to be, in various senses, described by algebraic
objects. It has long been expected that analogous results
hold in supergeometry, however proofs of the full suite
of Artin theorems have remained absent from the super-
geometry literature.
I have recently filled this gap by proving the Artin
theorems in the super case. In this talk, I plan to:
(1) describe the usual Artin theorems;
(2) talk a little bit about superschemes and superstacks;
(3) describe Artin’s theorems in the super setting;
focusing on those arguments which exploit the ‘super-
structure’ to avoid difficult ‘convergence’ questions
which are often at the heart of the Artin theorems.