Доклад Tatsuyuki Hikita: Canonical bases in equivariantK-theory of conical symplectic resolutions

В среду 6 декабря на факультете математики НИУ ВШЭ будет доклад Tatsuyuki Hikita на тему "Canonical bases in equivariantK-theory of conical symplectic resolutions"

Доклад состоится в 14:00 в аудитории 306.

Lusztig defined certain involution and inner product on the equivariant K-theory of Slodowy varieties and conjectured the existence of certain canonical bases characterized by the involution and inner product. This conjecture was proved by Bezrukavnikov-Mirkovic by constructing certain exotic t-structures on the derived category of coherent sheaves. In this talk, I will explain a purely K-theoretic reformulation of Lusztig’s involution which should make sense for more general conical symplectic resolutions which have Hamiltonian torus actions with finitely fixed points.