### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

APRIL 27, 2018

**Speaker: **
Richard Wentworth, University of Maryland

**Title: ***
The Yang-Mills Flow and Moduli Spaces
*

**Abstract: **
The Yang-Mills equations have played an important role in physics in mathematics for nearly 50 years. In the first part of this talk I will survey some recently established aspects of the behavior of the gradient flow associated to the Yang-Mills functional in both the Riemannian and Kaehler situations. In the second part of the talk, I will describe recent work on the structure of compactifications of the moduli space of Hermitian-Yang-Mills connections in higher dimensions.

**Time:** Friday, April 27, 2018, 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