主讲人：Prof. Kang-Tae Kim (Pohang University of Science and Technology, 韩国)

时  间： 9月26日（周一）10：00-11：00

地  点：数学科学学院303教室

备  注：Abstract: Forelli's theorem first presented in 1977 is an elegant and simple statement: If a complex-valued function f is defined on the unit ball is smooth at the origin and is holomorphic along every straight complex line passing through the origin, then f is in fact holomorphic on the unit ball. This is often mentioned as the "polar version" of Hartogs' analyticity theorem. Although it was usually said by several experts that this theorem cannot be generalized, there have been at least two recent generalizations: one is by Kim-Poletsky-Schmalz and the other is by Chirka. They are different theorems with different settings. On the other hand Chirka's theorem is only stated and proved in Complex dimension 2, and was asked by Chirka whether it can be generalized to all dimensions. I would like to present in this lecture that indeed all dimensional theorem can be proved. This is from the recent work by Joo-Kim-Schmalz.