Zhiwei Yun 惲之瑋

I am a graduate student in Mathematics at Princeton University.

Email: my first initial followed by last name at math dot princeton dot edu

Office: Fine Hall 404, Washington Rd, Princeton, NJ 08544

Research Interest

Geometric Representation Theory: generalizations of Springer representations; geometry of Hitchin fibrations; local and global Langlands correspondences (via geometry)

Perverse sheaves (and their weights) on algerbaic varieties; Equivariant cohomology

Publications and Preprints

Towards a global Springer Theory III: Endoscopy and Langlands duality, posted as arXiv:0904.3372

Towards a global Springer Theory II: the double affine action, posted as arXiv:0904.3371

The fundamental lemma of Jacquet-Rallis in positive characteristics, posted as arXiv:0901.0900

(joint with R.Bezrukavnikov) On the Koszul duality for affine Kac-Moody groups (Draft), PDF

Towards a global Springer Theory I: the affine Weyl group action, posted as arXiv:0810.2146

Weights of mixed tilting sheaves and geometric Ringel duality. To appear in Selecta Mathematica. Available at arXiv:0805.1495

Goresky-MacPherson calculus for the affine flag varieties. To appear in Canad. J. Math. A more detailed version available at arXiv:0712.4395

Papers in preparation

Subregular affine Springer fibers and subregular Hitchin fibers

Notes

Notes on D-modules (for Talbot 2008), PDF

Notes on equivariant derived categories, PDF

Seminar talks I gave or will be giving

IAS, Seminar on Shimura varieties and trace formula, 11/14/2008

MIT, Lie groups seminar, 11/12/2008

U.Chicago, Representation Theory Seminar, 11/05/2008

Northwestern University, Geometry/Physics Seminar, 11/04/2008

Teaching

MAT 103 Calculus, Fall 2007

Conferences I have been to or will go to

Workshop on Topological Field Theories, 5/18-5/22/2007, Northwestern University

Talbot Workshop: Fukaya categories, 3/23-3/27/2009, Nags Head

Gauge Theory and Langlands Duality, 7/21-8/8/2008, Kavli Institute for Theoretical Physics, University of California at Santa Barbara

Talbot Workshop: Affine Lie Algebras and Chiral Structures, 3/30-4/5/2008, Plymouth

Conference on Algebro-Geometric Derived Categories and Applications 3/10-3/14/2008, Institute for Advanced Study

Workshop on Gauge Theory and Representation Theory, 11/26-11/30/2007, Institute for Advanced Study

Trends in Non-commutative Geometry, 5/18-5/25/2007, Northwestern University

Workshop on Homological Mirror Symmetry and Applications I & II, 1/22-1/26/2007 & 3/26-3/30/2007, Institute for Advanced Study

Clay Summer School on Arithmetic Geometry, 7/17-8/11/2006, Göttingen University, Germany

Summer Institute in Algebraic Geometry, 8/1-8/12/2005, University of Washington

Summer school on Shimura varieties, 7/3-7/15/2005, Center of Mathematical Sciences, Zhejiang University, China

Arizona Winter School, 3/12-3/16/2005, University of New Mexico

Generals exam: A list of questions I was asked