Andrei Okounkov (Columbia U), “Monodromy and quantizations”

Seminar Organizer

ABSTRACT: For a general symplectic resolution X, Bezrukavnikov and Kaledin used quantization in prime characteristic to construct certain very interesting derived automorphisms of X. Their action on K(X) has been since conjectured to match the monodromy of the quantum differential equation for X. This talk will be about our joint work in progress with Bezrukavnikov in which we prove this conjecture for the infinite series of symplectic resolutions.