Date
Mon, 27 Apr 2026
Time
16:30 - 17:30
Location
L4
Speaker
Dr. André Guerra
Organisation
Department of Applied Mathematics and Theoretical Physics University of Cambridge
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In this talk I will discuss recent work, with R. Tione, on the regularity of stationary points for a class of planar polyconvex integrands which are conformally-invariant, a natural assumption in view of geometric applications. We prove that, in two dimensions, stationary points are smooth away from a discrete set. We also show full C^1-regularity for orientation-preserving solutions, which appear naturally in minimization problems of Teichmüller type.

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