報告人簡介
拉馬努金獎獲得者，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).
