SMS scnews item created by Haotian Wu at Fri 10 Feb 2017 1321
Expiry: 7 Apr 2017
Calendar1: 15 Feb 2017 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: Min-Chun Hong -- Some results on the Yang-Mills flow and its application
Auth: firstname.lastname@example.org (hawu2800) in SMS-WASM
Geometry & Topology Seminar
Some results on the Yang-Mills flow and its application
Min-Chun Hong (Queensland)
Wednesday 15 February 12:00–13:00 in Carslaw 535A.
Please join us for lunch after the talk!
At first, I will outline some old and new results on the Yang-Mills flow. Then we establish a parabolic gauge fixing theorem and used it to present a new proof of the existence of the weak solution of the Yang-Mills flow over a four dimensional manifold with initial value in \(H^1\). Finally, we improve a key lemma of Uhlenbeck and prove the uniqueness of the weak solution of the Yang-Mills flow on a four dimensional manifold.