Matt Booth (Imperial). Reflexive dg categories in algebra and topology
Abstract: Reflexive dg categories, introduced recently by Kuznetsov and Shinder, satisfy strong duality properties which in particular place restrictions on invariants like their Hochschild (co)homology, derived Picard groups, and semiorthogonal decompositions. Examples include various derived categories of proper schemes, as well as finite dimensional algebras. I’ll define what it means for a dg category to be reflexive before giving some examples arising from algebraic geometry, algebraic topology, and symplectic geometry. This talk is based on work in progress joint with Isambard Goodbody and Sebastian Opper.
More details on http://geometry.ma.ic.ac.uk/seminar/