Abstract 1: Measurements of the Hubble constant (H0) as
determined via the Cepheid-supernovae distance ladder appear to
provide strong evidence for physics beyond LCDM. However, in the
Carnegie Chicago Hubble Program (CCHP), we used the Tip of
the...
I will discuss a remarkable generalization of Mather’s
theorem by Thurston that relates the identity component of
diffeomorphism groups to the classifying space of Haefliger
structures. The homotopy type of this classifying space played
a...
We discuss the problem of extending local deformations of
solutions to open partial differential relations to global
deformations and formulate conditions under which such extensions
are possible. Among others these results are applied to
study...
We give a new proof of the fact that the parallel repetition of
the (3-player) GHZ game reduces the value of the game to zero
polynomially quickly. That is, we show that the value of the
n-fold parallel repetition of the GHZ game is at most n^{-...
We prove the equivalence of Eliashberg overtwisted $h$—principle
and the Eliashberg-Mishachev classification of contact
structures in the tight $3$-ball. I.e. we prove that simple
algebraic topology computations takes us from one result to
the...
The dynamics of an inviscid and incompressible fluid flow on a
Riemannian manifold is governed by the Euler equations. Recently,
Tao [6, 7, 8] launched a programme to address the global existence
problem for the Euler and Navier-Stokes equations...
The area operator plays a central role in our understanding of
holography and black hole thermodynamics. In this talk I will
discuss a formulation of the area operator at the level of
classical gravity, the “kink transform”, which defines a
notion...
This talk is based on a joint work with Thomas Kragh. Using the
generating function theory we split inject homotopy groups of
pseudo-isotopy and/or h-cobordism spaces into various spaces of
Legendrian manifolds, e.g. the space of Legendrian unknots...
The giant impact theory for the formation of the Moon suggests
that a planetary impactor struck the proto-Earth in an oblique
collision shortly after the formation of the solar system. This
collision produces liquid and vapor debris, drawn from the...
