### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

OCTOBER 20, 2017

**Speaker: **
Terry Napier, Lehigh University

**Title: ***
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.

**Place:** Exploratory Hall, room 4106

**Refreshments** will be served at 3:00 p.m.

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491