Finite generation for valuations beyond divisors




时   间:2024年7月30日 10:00-11:00    

地   点:数学楼102报告厅

主讲人:许晨阳 教授(美国普林斯顿大学

主持人:刘   钢 教授

讲座内容简介:

One major new birational geometry problem arising in understanding stable degeneration of varieties, which is the algebraic analogue to the compactness of Kähler-Einstein type metrics, is finite generation for valuations of higher rational rank. In the past a few years, we have established finite generation for minimizing valuations of various functionals, by first showing those minimizers are ‘special’; and then proving any special valuation satisfies finite generation. In this talk, I will report results along this direction. (Based on joint work with Yuchen Liu and Ziquan Zhuang).

主讲人简介:

许晨阳,普林斯顿大学数学系教授,从事基础数学代数几何方向研究。因为杰出学术贡献,获得杰青,拉马努金奖,新视野奖,美国数学会代数学科尔奖,未来科学大奖等一系列国内外重要荣誉。