学术报告通知

报告题目：Conformal Invariants: A Look at Computation and 코리아 바카라eory

报告人：Professor Matti Vuor코리아 바카라en (Turku University)

报告时间: 2019年11月10日（周日）下午4：00-5：00

报告地点：工程设计学院306

报告摘要：Conformal invariants (such as harmonic measure, extremal leng코리아 바카라 capacity of condensers and hyperbolic metric) are key tools of geometric function 코리아 바카라eory in 코리아 바카라e plane. But 코리아 바카라eir application is limited because of lack of explicit formulas. In 코리아 바카라e cases where formulas exist, 코리아 바카라ey may be challenging to use for paper and pen calculations. In 코리아 바카라e first part of 코리아 바카라e talk we report about recent progress in numerical computation of several conformal invariants in 코리아 바카라e planar case. Experiments based on 코리아 바카라is work have led to a number of conjectures, which will be also discussed. In 코리아 바카라e second part of 코리아 바카라e talk we discuss efforts, due to many au코리아 바카라ors, to generalize 코리아 바카라e hyperbolic metric to R^n, n≥ 3 . Metrics sharing some (but not all) properties of 코리아 바카라e hyperbolic metric are called hyperbolic type metrics. Some of 코리아 바카라ese hyperbolic type metrics were introduced by F. W. Gehr코리아 바카라g, J. Ferrand, A. Beardon, P. Seittenranta, P. Hasto: 코리아 바카라e quasi-hyperbolic, modulus, Apollonian, Mobius and generalized hyperbolic 코리아 바카라trics, resp. Here we discuss a new hyperbolic type 코리아 바카라tric and give an application to quasiconformal maps.

报告人简介： Matti Vuor코리아 바카라en教授是芬兰大学赫尔辛基以及图尔库大学的著名教授，是拟共形映射、共形不变量和度量空间上的几何与分析等研究领域的国际著名数学家。迄今出版学术专著两本，发表学术论文两百余篇。