50 citations · 222 across the 52 of their papers we have counts for
54 papers
Tao-Travkin equivalence revisited
Penghui Li, David Nadler, Yakov Varshavsky +1
We give a simpler proof of the theorem of J.~Tao and R.~Travkin saying that (the neutral block of) the affine Hecke category is the monoidal colimit of finite Hecke categories. The…
Perverse filtration on the cohomology of affine Springer fibers
Zhiwei Yun
We show that the top cohomology of any affine Springer fiber, as a Weyl group representation, contains a large part of the total cohomology of certain Springer fibers. The main ing…
Mirror Symmetry of the Affine Toda Systems
Xin Jin, Zhiwei Yun
For a complex reductive group , we prove a homological mirror symmetry between the wrapped Fukaya category of the affine Toda system for and coherent sheaves on the regular…
Affine Springer fiber and the small quantum group
Roman Bezrukavnikov, Pablo Boixeda Alvarez, Michael McBreen +1
We find a new geometric incarnation for the principal block in the category of modules over a quantum group at a root of unity, realizing it as a full subcategory of microsheaves o…
The global nilpotent cone for universal curves
David Nadler, Zhiwei Yun
We construct a conic Lagrangian in the cotangent bundle of the moduli stack of -bundles over the universal curve, restricting to the global nilpotent cone for each curve. It giv…
Character sheaves on loop Lie algebras: polar partition
Ngo Bao Chau, Zhiwei Yun
In this paper we propose a partition of loop Lie algebras into invariant sets parametrized by polar data. Our polar partition is motivated by J-K. Yu's construction of supercuspida…