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List of talks
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June 11, 2025, 12:30 p.m.
Antoine Detaille (Université Claude Bernard Lyon 1)
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds
In a striking contrast with the situation for classical linear spaces, Sobolev maps with values into a compact manifold N need not be approximable with smooth N-valued maps. While situations where the strong approximation property …
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May 14, 2025, 12:30 p.m.
Alexander Plakhov (University of Aveiro, Portugal)
Newton’s problem of least resistance for convex bodies
Isaac Newton (1687) posed the problem of finding the convex axisymmetric body with smallest aerodynamic drag when moving in a highly rarefied medium. Thus, he was looking for the optimal curve which is the generatrix …
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May 7, 2025, 12:30 p.m.
Maciej Leśniak
On Polyconvexity and Almgren Uniform Ellipticity With Respect to Polyhedral Test Pairs
The ellipticity of an anisotropic energy functional is a property that ensures a flat k-cube is the unique minimizer of the functional among all competitors with the same (k-1)-dimensional boundary as the cube. There is …
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April 16, 2025, 12:30 p.m.
Felix Schulze (University of Warwick)
A short proof of Allard's and Brakke's regularity theorems
We give new short proofs of Allard’s regularity theorem for varifolds with bounded first variation and Brakke’s regularity theorem for integral Brakke flows with bounded forcing. They are based on a decay of flatness, following …
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April 2, 2025, 12:30 p.m.
Jan Lang (Ohio State University)
From Besov to Sobolev: Looking at Non-Compact Embeddings
In this talk, we will explore the interplay between Besov and Sobolev spaces, focusing on describing properties for non-compact embedding (i.e., strict singularity, etc.). We will begin with an introduction to Besov spaces, highlighting their …
