BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Derived invariants of varieties in positive characteristic Bragg, Daniel


Topological Hochschild homology gives rise to a number of intrinsic derived invariants of a variety in positive characteristic. We will explain how to compute these quantities in terms of more classical invariants of X, such as de Rham and crystalline cohomology. As a consequence, we obtain new restrictions on the Hodge numbers of derived equivalent varieties in positive characteristic. We will also present an example of two derived equivalent 3-folds in characteristic 3 with different Hodge numbers. This is joint work with Benjamin Antieau and Nick Addington.

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