In his 1947 paper that inaugurated the probabilistic method,
Erdős proved the existence of $2 \log(n)$-Ramsey graphs on $n$
vertices. Matching Erdős' result with a constructive proof is a
central problem in combinatorics that has gained a...
In his 1947 paper that inaugurated the probabilistic method,
Erdős proved the existence of $2 \log(n)$-Ramsey graphs on $n$
vertices. Matching Erdős' result with a constructive proof is a
central problem in combinatorics that has gained a...
I will speak about results contained in my article "$G$-torseurs en
théorie de Hodge $p$-adique" linked to local class field theory. I
will in particular explain the computation of the Brauer group of
the curve and why its fundamental class is the...
In the last few years of the lives of massive stars, fusion in
the core of the star produces a nuclear power that greatly exceeds
the Eddington luminosity. This drives vigorous convection in
numerous core and shell burning phases. I describe the...
We prove that if a hyperbolic group $G$ acts cocompactly on a
CAT(0) cube complexes and the cell stabilizers are quasiconvex and
virtually special, then $G$ is virtually special. This generalizes
Agol's Theorem (the case when the action is proper)...
Sageev associated to a codimension 1 subgroup $H$ of a group $G$ a
cube complex on which $G$ acts by isometries, and proved this cube
complex is always CAT(0). Haglund and Wise developed a theory of
special cube complexes, whose fundamental groups...
For a collection of events on a probability space with specified
dependencies, the Lovasz Local Lemma ("LLL") gives a sufficient
condition for the existence of a point avoiding all the events.
Following Moser's discovery of an efficient algorithm...
A key result in spectral theory linking classical and quantum
mechanics is the Quantum Ergodicity theorem, which states that in a
system in which the classical is ergodic, almost all of the Laplace
eigenfunctions become uniformly distributed in...
Diana Frank, Thomas Frank, Michael Cook, Judith Herrin, Carol Bakhos, Emma Gannagé, Carmela V. Franklin, Robbert Dijkgraaf, Nicola Di Cosmo
Patricia Crone, Professor Emerita in the School of Historical
Studies, helped to establish the Institute as a recognized center
for the pursuit of Islamic culture and history. Crone’s insightful
work shed important new light on the critical...
In this talk we first introduce a new "singularity-free"
approach to the proof of Seidel's long exact sequence, including
the fixed-point version. This conveniently generalizes to Dehn
twists along Lagrangian submanifolds which are rank one...