Hypersurfaces of Low Entropy
Geometric Flows in Riemannian and Complex Geometry May 02, 2016 - May 06, 2016
Location: MSRI: Simons Auditorium
complex geometry
Riemannian geometry
geometric analysis
geometric flow
Ricci flow
Kahler-Ricci flow
topology of hypersurfaces
topological entropy
53C56 - Other complex differential geometry [See also 32Cxx]
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
53C43 - Differential geometric aspects of harmonic maps [See also 58E20]
14J80 - Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
14J25 - Special surfaces {For Hilbert modular surfaces, see 14G35}
14501
The entropy is a natural geometric functional introduced by Colding-Minicozzi to study the singularities of mean curvature flow, and it roughly measures the complexity of a hypersurface of Euclidean space.
In this talk, I will survey some recent progress with Jacob Bernstein on understanding the geometry and topology of hypersurfaces with low entropy
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14501
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