Daniel Ketover - Sharp entropy bounds of closed surfaces and min-max theory
- document 1 document 2 document 3
- niveau 1 niveau 2 niveau 3
- audio 1 audio 2 audio 3
Descriptif
In 2012, Colding-Ilmanen-Minicozzi-White conjectured that the entropy of any closed surface in R^3 is at least that of the self-shrinking two-sphere. I will explain joint work with X. Zhou where we interpret this conjecture as a parabolic version of the Willmore problem and give a min-max proof of (most cases) of their conjecture.
Intervenants
Thèmes
Notice
Dans la même collection
-
Robert Young - Quantitative rectifiability and differentiation in the Heisenberg groupYoungRobert Kehoe.
(joint work with Assaf Naor) The Heisenberg group $\mathbb{H}$ is a sub-Riemannian manifold that is unusually difficult to embed in $\mathbb{R}^n$. Cheeger and Kleiner introduced a new notion of
-
Vincent Beffara - Percolation of random nodal linesBeffaraVincent
Percolation of random nodal lines
-
Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfacesViaclovskyJeff
I will discuss a Kuranishi-type theorem for deformations of complex structure on ALE Kahler surfaces, which will be used to prove that for any scalar-flat Kahler ALE surface, all small deformations of
-
Melanie Rupflin - Horizontal curves of metrics and applications to geometric flowsRupflinMelanie
On closed surfaces there are three basic ways to evolve a metric, by conformal change, by pull-back with diffeomorphisms and by horizontal curves, moving orthogonally to the first two types of
-
Robert Haslhofer - The moduli space of 2-convex embedded spheres
We investigate the topology of the space of smoothly embedded n-spheres in R^{n+1}, i.e. the quotient space M_n:=Emb(S^n,R^{n+1})/Diff(S^n). By Hatcher’s proof of the Smale conjecture, M_2 is
-
Burkhard Wilking - Manifolds with almost nonnegative curvature operatorWilkingBurkhard
We show that n-manifolds with a lower volume bound v and upper diameter bound D whose curvature operator is bounded below by $-\varepsilon(n,v,D)$ also admit metrics with nonnegative curvature
-
Jean-Marc Schlenker - Anti-de Sitter geometry and polyhedra inscribed in quadricsSchlenkerJean-Marc
Anti-de Sitter geometry is a Lorentzian analog of hyperbolic geometry. In the last 25 years a number of connections have emerged between 3-dimensional anti-de Sitter geometry and the geometry of
-
Stéphane Saboureau - Sweep-outs, width estimates and volumeSabourauStéphane
Sweep-out techniques in geometry and topology have recently received a great deal of attention, leading to major breakthroughs. In this talk, we will present several width estimates relying on min-max
-
Igor Belegradek - Smoothness of Minkowski sum and generic rotationsBelegradekIgor
I will discuss whether the Minkowski sum of two compact convex bodies can be made smoother by a generic rotation of one of them. Here "generic" is understood in the sense of Baire category. The main
-
Feng Luo - Discrete conformal geometry of polyhedral surfaces and its convergenceLuoFeng
Our recent joint work with D. Gu established a discrete version of the uniformization theorem for compact polyhedral surfaces. In this talk, we prove that discrete uniformizaton maps converge to
-
Greg McShane - Volumes of hyperbolics manifolds and translation distances
Schlenker and Krasnov have established a remarkable Schlaffli-type formula for the (renormalized) volume of a quasi-Fuchsian manifold. Using this, some classical results in complex analysis and Gromov
-
David Gabai - Maximal cusps of low volumeGabaiDavid
With Robert Haraway, Robert Meyerhoff, Nathaniel Thurston and Andrew Yarmola. We address the following question. What are all the 1-cusped hyperbolic 3-manifolds whose maximal cusps have low volume?
Sur le même thème
-
R. Berman - Canonical metrics, random point processes and tropicalizationBermanRobert
In this talk I will present a survey of the connections between canonical metrics and random point processes on a complex algebraic variety X. When the variety X has positive Kodaira dimension,
-
B. Berndtsson - The curvature of (higher) direct images
I will first discuss some earlier work on the curvature of direct images of adjoint line bundles under a smooth proper fibration, or more generally a surjective map and (maybe) some of its
-
Robert Young - Quantitative rectifiability and differentiation in the Heisenberg groupYoungRobert Kehoe.
(joint work with Assaf Naor) The Heisenberg group $\mathbb{H}$ is a sub-Riemannian manifold that is unusually difficult to embed in $\mathbb{R}^n$. Cheeger and Kleiner introduced a new notion of
-
Vincent Beffara - Percolation of random nodal linesBeffaraVincent
Percolation of random nodal lines
-
Melanie Rupflin - Horizontal curves of metrics and applications to geometric flowsRupflinMelanie
On closed surfaces there are three basic ways to evolve a metric, by conformal change, by pull-back with diffeomorphisms and by horizontal curves, moving orthogonally to the first two types of
-
Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfacesViaclovskyJeff
I will discuss a Kuranishi-type theorem for deformations of complex structure on ALE Kahler surfaces, which will be used to prove that for any scalar-flat Kahler ALE surface, all small deformations of
-
Burkhard Wilking - Manifolds with almost nonnegative curvature operatorWilkingBurkhard
We show that n-manifolds with a lower volume bound v and upper diameter bound D whose curvature operator is bounded below by $-\varepsilon(n,v,D)$ also admit metrics with nonnegative curvature
-
Jean-Marc Schlenker - Anti-de Sitter geometry and polyhedra inscribed in quadricsSchlenkerJean-Marc
Anti-de Sitter geometry is a Lorentzian analog of hyperbolic geometry. In the last 25 years a number of connections have emerged between 3-dimensional anti-de Sitter geometry and the geometry of
-
Stéphane Saboureau - Sweep-outs, width estimates and volumeSabourauStéphane
Sweep-out techniques in geometry and topology have recently received a great deal of attention, leading to major breakthroughs. In this talk, we will present several width estimates relying on min-max
-
Igor Belegradek - Smoothness of Minkowski sum and generic rotationsBelegradekIgor
I will discuss whether the Minkowski sum of two compact convex bodies can be made smoother by a generic rotation of one of them. Here "generic" is understood in the sense of Baire category. The main
-
Feng Luo - Discrete conformal geometry of polyhedral surfaces and its convergenceLuoFeng
Our recent joint work with D. Gu established a discrete version of the uniformization theorem for compact polyhedral surfaces. In this talk, we prove that discrete uniformizaton maps converge to
-
Greg McShane - Volumes of hyperbolics manifolds and translation distances
Schlenker and Krasnov have established a remarkable Schlaffli-type formula for the (renormalized) volume of a quasi-Fuchsian manifold. Using this, some classical results in complex analysis and Gromov