Speaker : Prof. Fang, Xiang (National Central University)
Title : Some Interaction between Functional Analysis, Commutative Algebra, and Complex Analysis
Time : 2014-03-27 (Thu) 15:00 - 16:00
Place : Lecture Hall, Inst. of Mathematics
Abstract: A way to describe our talk is how to borrow ideas from commutative algebra to study Hilbert spaces and their operators. When the Hilbert spaces consist of analytic functions, complex analysis comes into play. The main concepts involved in this talk: functional analysis includes Fredholm index and operators on function spaces; commutative algebra is mainly about Hilbert polynomial, Samuel multiplicity, and Koszul complex; complex analysis concerns analytic functions on the unit disk in the complex plane.