Network


Latest external collaboration on country level. Dive into details by clicking on the dots.

Hotspot


Dive into the research topics where Zhiwei Yun is active.

Publication


Featured researches published by Zhiwei Yun.


Duke Mathematical Journal | 2011

The fundamental lemma of Jacquet and Rallis

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

Integral homology of loop groups via Langlands dual groups

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

Galois representations attached to moments of Kloosterman sums and conjectures of Evans

Zhiwei Yun; Christelle Vincent

Kloosterman sums for a finite field arise as Frobenius trace functions of certain local systems defined over


Compositio Mathematica | 2012

Langlands duality and global Springer theory

Zhiwei Yun

\Gm


Oberwolfach Reports | 2014

Langlands Correspondence and Constructive Galois Theory

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

On Koszul duality for Kac-Moody groups

Roman Bezrukavnikov; Zhiwei Yun

p


Annals of Mathematics | 2013

Kloosterman sheaves for reductive groups

Jochen Heinloth; Bao Châu Ngô; Zhiwei Yun

ranges over all primes, the moments of the corresponding Kloosterman sums for


Crelle's Journal | 2014

Macdonald formula for curves with planar singularities

Davesh Maulik; Zhiwei Yun

\mathbb{F}_{p}


Advances in Mathematics | 2011

Global Springer theory

Zhiwei Yun

arise as Frobenius traces on a continuous


Inventiones Mathematicae | 2014

Motives with exceptional Galois groups and the inverse Galois problem

Zhiwei Yun

\ell

Collaboration


Dive into the Zhiwei Yun's collaboration.

Top Co-Authors

Avatar

George Lusztig

Massachusetts Institute of Technology

View shared research outputs
Top Co-Authors

Avatar

Alexei Oblomkov

University of Massachusetts Amherst

View shared research outputs
Top Co-Authors

Avatar

David Nadler

Northwestern University

View shared research outputs
Top Co-Authors

Avatar
Top Co-Authors

Avatar
Top Co-Authors

Avatar
Top Co-Authors

Avatar

Roman Bezrukavnikov

Massachusetts Institute of Technology

View shared research outputs
Top Co-Authors

Avatar
Top Co-Authors

Avatar

Julia Gordon

University of British Columbia

View shared research outputs
Top Co-Authors

Avatar
Researchain Logo
Decentralizing Knowledge