Geometry Seminar


Physical fields on

mathematical manifolds


Mr. Ng Sui Chung

The University of Hong Kong




To physicists, one of the most important goals is of course to look for mathematical entities which represent physical objects best and mathematical theories which model the laws of nature best. On the other hand, it turns out that doing physics on pure mathematical objects sometimes is also fruitful and interesting.


In the first part of the talk, I will briefly introduce what gauge theories in physics are and bring up the Donaldson's theorem in topology which is actually a "by product" of the analysis of a certain kind of gauge fields on compact smooth 4-manifolds. In the second part, I would try to give some details on the mathematics background and the sketch of proof of Donaldson's theorem.


Lecture 1:

May 11, 2006 (Thursday)

3:00 – 4:00pm

Lecture 2:

May 12, 2006 (Friday)

4:00 – 5:00pm


Lectures will be held in Room 517, Meng Wah Complex, HKU



All are welcome