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Guofang Wang (Albert-Ludwigs-Universität Freiburg) – The curl-Sobolev inequality

Category
Geometry and Analysis
Date
– @ Roger Stevens Lecture Theatre 11
Date
– @ Roger Stevens Lecture Theatre 11, 15:00
Location
Roger Stevens Lecture Theatre 11
Speaker
Guofang Wang
Affiliation
Albert-Ludwigs-Universität Freiburg

We will talk about our recent work, a resolution of a longstanding problem on the sharp curl-Sobolev inequality for differential forms on the round sphere. We then present its geometric and variational applications that settle several open problems and conjectures in geometry and mathematical physics. This is a joint work with Mingwei Zhang.