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吴文俊数学重点实验室微分几何与分析系列报告



报告人:Lechao Xiao,宾夕法尼亚大学


报告时间:7月9日 周六上午10点-11点


地点:1418



摘要:One basic problem in algebra is finding roots for a polynomial. A central topic in modern harmonic analysis is finding (sharp) estimates for various oscillatory integrals. In the 17th century, Newton introduced a method, known as Newton-Puiseux algorithm, for solving a polynomial $f(x,y) = 0$ by a fractional power series, $y = y(x^{\frac 1 m})$. In this talk, we will illustrate how one can upgrade this algorithm to find sharp estimates for some oscillatory integrals.

中国科学院吴文俊数学重点实验室