Physical fields on
mathematical manifolds
Mr. Ng Sui Chung
Abstract
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 4manifolds. 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: 


Lecture 2: 


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

All are welcome 
