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XI Nanhua

Time:2014-07-24  Source:Font Size:[Large | Medium | Small]  [Print]

Education and Appointments:

Nanhua Xi was born March 1963, in Yingde, Guangdong Province, China. He graduated from Huaihua Institute in 1981 as a college student, and received a Master's degree in 1985 and a Ph.D. degree in 1988, both from the East China Normal University. He was a postdoctor researcher at the Institute of Mathematics, Chinese Academy of Sciences during 1988-1989.



N. Xi specialized in algebraic groups and quantum groups. Here are some of his selected works.

1. Proved Lusztig's conjecture on based ring of a two-sided cell for affine Weyl groups of type A;

2. Determined the necessary and sufficient condition for the validity of Deligne-Langlands conjecture for affine Hecke algebras;

3. Showed that the finite dimensional representations of quantum groups over a field of characteristic p with parameter not being a root of unity behave similar to those of algebraic groups over a field of characteristic 0;

4. Obtained an explicit and concrete realization for finite dimensional irreducible representations of quantum groups at roots of unity;

5. Joint with Chari, constructed monomial bases of quantum groups;

6. Calculated some canonical bases;

7. Obtained a commutation formula for root vectors;

8. Joint with Lusztig, discovered canonical left cells,

9. Joint with Tanisaki, proved that for an affine Hecke algebra of type A, a certain geometric filtration and a certain algebraic filtration coincide.

He recieved a Morningside Silver Medal of Mathematics from the International Congress of Chinese Mathematicians in 2001, Shiing-Shen Chern Prize in 2005 from the Chinese Mathematical Society and a second class award of the National Natural Sciences Award, China, in 2007.