arXiv:0905.0686v2 [math.RT] 5 May 2009 Page 1 arXiv:0905.0686v2 [math.RT] 5 May 2009
LECTURES ON NAKAJIMA’S QUIVER VARIETIES VICTOR GINZBURG The summer …

We establish a connection between smooth symplectic resolutions and symplectic
deformations of a (possibly singular) affine Poisson variety. In particular, let V be a finite …

We develop representation theory of the rational Cherednik algebra \rmH\sbc associated to
a finite Coxeter group W in a vector space h, and a parameter" c." We use it to show that, for …

Apart from confirming conjectures in algebraic combinatorics and integrable systems, having
an interesting representation theory, and connecting with real algebraic geometry …

For a fixed parabolic subalgebra 𝔭 of we prove that the centre of the principal block 𝒪0𝔭 of
the parabolic category 𝒪 is naturally isomorphic to the cohomology ring H*(ℬ𝔭) of the …

Let Hc be the rational Cherednik algebra of type An-1 with spherical subalgebra Uc= eHce.
Then Uc is filtered by order of differential operators, with associated graded ring grUc= C …

This paper surveys the representation theory of rational Cherednik algebras. We also
discuss the representations of the spherical subalgebras. We describe in particular the …

Using combinatorial properties of complex reflection groups we show that, if the group W is
different from the wreath product 𝔖 n≀ Z/m Z and the binary tetrahedral group (labelled G (m …

A survey on symplectic singularities and symplectic resolutions Page 1 ANNALES
MATHÉMATIQUES BLAISE PASCAL Baohua Fu A survey on symplectic singularities and …

There are many interactions between noncommutative algebra and representation theory on
the one hand and classical algebraic geometry on the other, with important applications in …