26 citations · 66 across the 26 of their papers we have counts for
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A Langlands duality of elliptic Hecke algebras
Gufang Zhao, Changlong Zhong
Associated to any root datum, there is an elliptic affine Hecke algebra defined by Ginzburg, Kapranov, and Vasserot. In this study, we establish a Fourier-Mukai functor from the re…
Stable bases of the Springer resolution and representation theory
Changjian Su, Changlong Zhong
In this note, we collect basic facts about Maulik and Okounkov's stable bases for the Springer resolution, focusing on their relations to representations of Lie algebras over compl…
Wall-crossings and a categorification of -theory stable bases of the Springer resolution
Changjian Su, Gufang Zhao, Changlong Zhong
We compare the -theory stable bases of the Springer resolution associated to different affine Weyl alcoves. We prove that (up to relabelling) the change of alcoves operators are…
Representations of the elliptic affine Hecke algebras
Gufang Zhao, Changlong Zhong
We prove that irreducible representations of the elliptic affine Hecke algebras of Ginzburg, Kapranov, and Vasserot are in one-to-one correspondence with certain nilpotent Higgs bu…
Geometric representations of the formal affine Hecke algebra
Gufang Zhao, Changlong Zhong
For any formal group law, there is a formal affine Hecke algebra defined by Hoffnung, Malagón-López, Savage, and Zainoulline. Coming from this formal group law, there is also an or…