Zhiwei Yun
Stanford University
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Publication
Featured researches published by Zhiwei Yun.
Duke Mathematical Journal | 2011
Zhiwei Yun; Julia Gordon
We prove both the group version and the Lie algebra version of the Fundamental Lemma appearing in a relative trace formula of Jacquet-Rallis in the function field case when the characteristic is greater than the rank of the relevant groups.We prove both the group version and the Lie algebra version of the Fundamental Lemma appearing in a relative trace formula of Jacquet-Rallis in the function field case when the characteristic is greater than the rank of the relevant groups.
Representation Theory of The American Mathematical Society | 2011
Zhiwei Yun; Xinwen Zhu
Let K be a connected compact Lie group, and G its complexification. The homology of the based loop group ΩK with integer coefficients is naturally a Z-Hopf algebra. After possibly inverting 2 or 3, we identify H∗(ΩK, Z) with the Hopf algebra of algebraic functions on B∨ e , where B^∨ is a Borel subgroup of the Langlands dual group scheme G^∨ of G and B^∨ e is the centralizer in B^∨ of a regular nilpotent element e ∈ LieB^∨. We also give a similar interpretation for the equivariant homology of ΩK under the maximal torus action.
Compositio Mathematica | 2015
Zhiwei Yun; Christelle Vincent
Kloosterman sums for a finite field arise as Frobenius trace functions of certain local systems defined over
Compositio Mathematica | 2012
Zhiwei Yun
\Gm
Oberwolfach Reports | 2014
Michael Dettweiler; Jochen Heinloth; Zhiwei Yun
. The moments of Kloosterman sums calculate the Frobenius traces on the cohomology of tensor powers (or symmetric powers, exterior powers, etc.) of these local systems. We show that when
Representation Theory of The American Mathematical Society | 2013
Roman Bezrukavnikov; Zhiwei Yun
p
Annals of Mathematics | 2013
Jochen Heinloth; Bao Châu Ngô; Zhiwei Yun
ranges over all primes, the moments of the corresponding Kloosterman sums for
Crelle's Journal | 2014
Davesh Maulik; Zhiwei Yun
\mathbb{F}_{p}
Advances in Mathematics | 2011
Zhiwei Yun
arise as Frobenius traces on a continuous
Inventiones Mathematicae | 2014
Zhiwei Yun
\ell