11 avril 2016 à 15 juillet 2016
Institut Henri Poincaré
Fuseau horaire Europe/Paris


Ed Segal, Imperial College

Title: Non-abelian GLSMs and Homological Projective Duality for Pfaffians

Abstract: Gauged linear sigma models with abelian gauge groups have been exhaustively studied, they provide a physical way to access complete intersections in a toric variety. Models with non-abelian gauge groups are more difficult, but they can allow us to access more interesting varieties. 
Hori has conjectured a duality between certain pairs of non-abelian GLSMs related to Pfaffian varieties. I'll discuss the interpretation - and proof -  of this duality for categories of B-branes. I'll then explain why this implies Kuznetsov's Homological Projective Duality for (certain non-commutative resolutions of) these varieties. This is joint work with Joergen Rennemo.

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