Speaker: Terry Napier, Lehigh University
The Bochner--Hartogs dichotomy
Abstract: In 1906, Friedrich Hartogs discovered that a complex analytic function defined near the boundary of a ball in complex Euclidean space of dimension n>1 must extend complex analytically to the entire ball. In particular, in dimension n>1, all isolated singularities are removable. This was perhaps the first hint that convexity (of some sort) should play an important role in the study of several complex variables. In this talk, we will consider briefly how this idea developed over the next 100 years, and consider analogues of Hartogs' extension theorem in the general setting of Kaehler manifolds.Time: Friday, October 20, 2017, 3:30-4:20 p.m.
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
Tel. 703-993-1460, Fax. 703-993-1491