Yun Zhiwei

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Note: This article places the family name before the person's first name. This is the usual order in Chinese. Yun is the family name here, Zhiwei is the first name.

Yun Zhiwei ( Chinese  恽 之 玮 , Pinyin Yùn Zhīwěi ; * 1982 in Changzhou , Jiangsu Province , People's Republic of China ) is a Chinese mathematician who deals with algebraic geometry, number theory, and geometric representation theory (including as part of the Langlands program ).

Yun won the gold medal at the International Mathematical Olympiad in Korea in 2000. He studied from 2000 at Peking University with a diploma in 2004 and received his doctorate from Princeton University with Robert MacPherson in 2009 ( Towards a Springer Theory for Global Function Fields ). As a post-doctoral student he was at the Institute for Advanced Study and from 2010 to 2012 he was a Moore Instructor at the Massachusetts Institute of Technology . He then went to Stanford University as an assistant professor . In 2016 he moved to Yale University .

His dissertation and the work that followed from it is seen as a significant step forward in the Langlands program. Springer's theory deals with the effect of Weyl groups on the cohomology groups of certain sub-varieties of flag manifolds, the Springer fibers. Instead, Yun considers Hitchin fibers in his global jumper theory (inspired by previous advances in the Langland program by Gérard Laumon and Bao-Châu Ngô using the Hitchin fiber).

In 2011 he made progress on the fundamental allemma of the relative trace formula by Hervé Jacquet and Stephen Rallis in the Langlands program, which he traced back to the cohomological properties of the Hitchin fiber.

He also achieved significant results in classical algebraic geometry and the theory of motifs (construction of motifs with exceptional Galois groups). Working with Ngo and Heinloth is seen as an important step forward in the geometrical Langland program. With Wei Zhang , he succeeded in 2015 in a geometric interpretation of the higher terms of the Taylor series of L functions.This was seen as a significant advance, which also allows the exact calculation of higher terms than the first (Gross / Zagier 1986) and second terms and a new perspective on the conjecture of Birch and Swinnerton-Dyer .

In 2012 he received the SASTRA Ramanujan Prize . For 2018 he received the New Horizons in Mathematics Prize and in 2019 the ICCM Medal of Mathematics in Gold.

Fonts

In addition to the work specified in the individual evidence:

  • Motives with Exceptional Galois groups and the inverse Galois problem (appears in Inventiones Mathematicae, Arxiv )
  • with Davesh Maulik: Macdonald formula for curves with planar singularities, (appears in Journal for pure and applied mathematics, Arxiv )
  • with Bao-Châu Ngô , Jochen Heinloth : Kloosterman sheaves for reductive groups, Annals of Mathematics, Volume 177, 2013, pp. 241-310, ( Abstract , Arxiv )
  • with Zhang Wei : Shtukas and the Taylor expansion of L -functions, Annals of Mathematics, Volume 186, 2018, pp. 767–911

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ Towards a global Springer theory, part 1 , part 2 , _part 3
  3. ↑ Global Springer Theory, Advances in Mathematics, Volume 228, 2011, pp. 266–328
  4. ↑ Langlands duality and global Springer theory, Compositio Mathematica, Volume 148, 835-867
  5. ↑ Yun The fundamental lemma of Jacquet and Rallis (with an appendix by J. Gordon), Duke Math. J. 156 (2011), 167-227, Preprint Arxiv
  6. ↑ Yun, Zhang, Shtukas and the Taylor expansion of L-functions, Arxiv 2015
  7. ^ Hartnett, Math quartet joins forces on unified theory , Quanta Magazine, December 2015
  8. ↑ ICCM Medal of Mathematics 2019
personal data
SURNAME Yun, Zhiwei
ALTERNATIVE NAMES 恽 之 玮
BRIEF DESCRIPTION Chinese mathematician
DATE OF BIRTH 1982
PLACE OF BIRTH Changzhou