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【校级学术报告】Finite generation for valuations beyond divisors
许晨阳 教授(美国普林斯顿大学)
2024年7月30日 10:00-11:00  闵行校区数学楼102

*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 K?hler-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。