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7月30日 許晨陽(yáng)：Finite generation for valuations beyond divisors
2024-07-30 10:00:00
活動(dòng)主題：Finite generation for valuations beyond divisors
主講人：許晨陽(yáng)
開(kāi)始時(shí)間：2024-07-30 10:00:00
舉行地點(diǎn)：閔行校區(qū)數(shù)學(xué)樓102報(bào)告廳
主辦單位：數(shù)學(xué)科學(xué)學(xué)院
報(bào)告人簡(jiǎn)介

拉馬努金獎(jiǎng)獲得者，主要從事基礎(chǔ)數(shù)學(xué)核心領(lǐng)域代數(shù)幾何方向的研究。

內(nèi)容簡(jiǎn)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).