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马克西姆・康采维奇

以表彰他在代数、几何和数学物理,特别是形变量子化,Motivic积分和镜像对称的开创性工作。

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近年来物理学的一些观念激发了代数和几何的深刻进展。马克西姆・康采维奇 (Maxim Kontsevich) 是这些进展的领路人。

自从海森堡 (Heisenberg) 引入量子力学以来,量子化的数学过程,即从古典力学到量子力学的过程已经成为一个中心研究课题。其中一个版本是关於     泊松 (Poisson) 流形的形变量子化。除了某些特殊情形,这是一个非常困难的问题。康采维奇使用了量子场论的思想完美地解决了这个问题。

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得奖人获奖介绍

Traditionally the interaction between mathematics and theoretical physics has been concerned with topics ranging from dynamical systems and partial differential equations to differential geometry to probability theory. For the last two decades, modern algebra and algebraic geometry (which is the study of the solutions of systems of polynomial equations in several variables via algebraic methods) have taken a central position in this interaction.  Physical insights and intuition, especially from string theory, have led to a number of unexpected and striking predictions in both classical and modern algebraic geometry.  Thanks to the efforts of many mathematicians new techniques and theories have been developed and some of these conjectures have been proven.

Maxim Kontsevich has led the way in a number of these developments.  Among his many achievements is his early work on Witten’s conjecture concerning the topology and geometry of the moduli (that is parameter) spaces of all algebraic curves of a given genus, his solution of the problem of deformation quantization, his work in mirror symmetry and in a different direction the theory of motivic integration.

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得奖者简介
马克西姆・康采维奇 (Maxim Kontsevich)

马克西姆・康采维奇 (Maxim Kontsevich) 1964年於俄罗斯希姆基出生,自1999年起成为法国公民。现为法国高等科学研究所教授暨安盛研究基金数学主席。1992年他获德国波恩大学博士学位。自1990至1993年,他曾於不同机构担任客席,包括德国马克斯普朗克研究所、美国哈佛大学及普林斯顿高等研究院。1993至1995年为美国加州大学柏克莱分校教授。他曾获许多奖项,其中包括1997年庞加莱奖 (Henri Poincaré Prize)、1998年菲尔兹奖 (Fields Medal) 及2008年克拉福德奖 (Crafoord Prize)。现为欧洲科学院及法国研究院成员。

得奖人自传
得奖者特写
2012年度邵逸夫数学科学奖讲座