Abstract: Deligne-Illusie's method establishes degeneration of the Hodge-to-de Rham spectral sequence for smooth proper schemes in characteristic 0 by reduction to positive characteristic. In the talk, I will explain how to adapt this approach to Artin stacks. As an application we deduce equivariant Hodge-to-de Rham degeneration for a few families of varieties with algebraic group action. This is joint work with Dmitry Kubrak.

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