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7月30日 许晨阳:Finite generation for valuations beyond divisors
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- 2024-09-20 05:30:46
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活动主题:Finite generation for valuations beyond divisors
主讲人:许晨阳
开始时间:2024-07-30 10:00:00
举行地点:闵行校区数学楼102报告厅
主办单位:数学科学学院
报告人简介拉马努金奖获得者,主要从事基础数学核心领域代数几何方向的研究。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).