2005 ICTP Prize Ceremony (Modified by ICTP info point)

Katrina Danforth danforth at ictp.trieste.it
Fri May 12 10:30:20 CEST 2006

The 2005 ICTP Prize
in honour of Armand Borel

will be awarded to

Xiaohua Zhu
School of Mathematical Sciences
Peking University


Tuesday, May 16, 2006
in the Main Lecture Hall of the ICTP Main Building
at 11:00 hrs.


The presentation of the Prize by Professor K.R. Sreenivasan,
Director of the Abdus Salam ICTP, will be followed by the
  2005 ICTP Prize Lecture by Xiaohua Zhu on

Canonical metrics in Kähler geometry

Abstract: This will be a review of "canonical metrics" in Kähler 
geometry; examples are Kähler-Einstein metrics, Kähler-Ricci solitons, 
and extremal metrics. I will touch upon the following topics:

1) Calabi's conjecture.
2) Existence results for Kähler-Einstein metrics with c_1>0.
3) Geometric Invariant Theory related to the existence problem.
4) K-energy and K-stability on toric manifolds.
5) Kähler-Ricci flow and Kähler-Ricci solitons.

All are most cordially invited to attend.


Citation for the award of the 2005 ICTP Prize

The 2005 ICTP Prize in honour of Armand Borel is awarded to Xiaohua 
Zhu, Professor at the School of Mathematical Sciences, Peking 

Xiaohua Zhu has made fundamental contributions to complex differential 
geometry. He is best known for his work (jointly with G. Tian) on the 
uniqueness of “Kähler-Ricci solitons”. This work introduced a new 
holomorphic invariant, and also a deep a priori estimate for solutions 
of certain complex Monge-Ampere equations. This was a major 
breakthrough in Kahler geometry. Zhu has also to his credit (jointly 
with X. Wang) an important existence theorem for Kahler-Ricci solitons, 
as well as impressive results on minimal submanifolds. More recently he 
has proved an important convergence theorem for the Kähler-Ricci flow, 
using the spectacular results of Perelman. At 37, he is one of the 
foremost young Chinese geometers, a mathematician who attacks and 
solves tough problems in geometric analysis.  His excellent papers are 
published in front-line journals.

The 2005 ICTP Prize is named after Armand Borel, who was a professor at 
the School of Mathematics at the Institute for Advanced Study at 
Princeton and lectured at ICTP.

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