Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: Derived invariants of varieties in positive characteristic

Seminar | February 18 | 5-6 p.m. | 939 Evans Hall

 Daniel Bragg, UC Berkeley

 Department of Mathematics

A fundamental derived invariant associated to a smooth projective variety is its Hochschild homology. In positive characteristic, topological Hochschild homology gives another canonical derived invariant. We will explain how to compute with this object in practice, and as a consequence obtain some 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 (found using Macaulay2). This is joint work with Benjamin Antieau and Nick Addington