This series covers all areas of research at Perimeter Institute, as well as those outside of PI's scope.
Non-perturbative effects are responsible for the
essential dynamical features of the four-dimensional gauge theories such as
QCD. The N=2 supersymmetric four-dimensional theories are an interesting
class of models in which non-perturbative computations can be carried out with
arbitrary precision using localization of the path integrals. I will explain
the new exact non-perturbative results and the relation to classical and
quantum integrable systems for a large class of N=2 supersymmetric QCD.
As black holes accrete surrounding gas, they often
produce relativistic, collimated outflows, or jets. Jets are expected to form
in the black hole vicinity making them powerful probes of strong-field gravity.
However, how jet properties are connected to black hole and accretion flow
properties has been unclear. Recent progress in computer simulations of black
hole accretion enables studies of jet formation in unprecedented detail. For
the first time, 3D general relativistic magnetohydrodynamic numerical
Matrix
models, random maps and Liouville field
theory are prime tools which connect
random
geometry and quantum gravity in two dimensions. The
tensor track is a new program to extend this
connection to higher dimensions through
the
corresponding notions of tensor models, colored
triangulations and tensor group field theories.
In the last few years there has been a burst of
progress in the field of massive gravity. The construction of consistent
theories in which the graviton has a small mass has in turn led to the
development a new family of compelling, consistent low-energy modifications of
General Relativity. These theories improve our understanding of the
interplay between gravity and particle physics and provide new approaches to
solving the cosmological constant problem. In this talk I will review
While the luminosity and mass distributions of quasars
has evolved dramatically with cosmic time, the physical properties of quasars
of a given luminosity are remarkably independent of redshift. I will describe recent results on the spectra
of luminous quasars, the dark matter halos in which they sit, and the
intergalactic medium of their host galaxies, that are essentially
indistinguishable from moderate redshifts to z>6.
Advanced LIGO (aLIGO) and Advanced Virgo (AdV) are kilometer-scale
gravitational wave (GW) detectors that are expected to yield the first
direct observations of gravitational waves. I will describe the
currently projected schedule, sensitivity, and sky
localization accuracy for the GW detector network in the next decade.
I
will discuss some basic notions in the theory of phonology (sound systems
in language). The sounds of a language are generally assumed to be
composed of smaller constituents, called features. The features that
make up a sound cannot be directly obtained from its pronunciation, but
rather must be inferred from the system of contrasts that are at play
in a particular language. How to determine which features are contrastive
presents a logical and empirical puzzle that may be interesting
I give an account of the Machian approach to dynamics,
from Mach's critique of Newton to the work of Barbour, Bertotti, York and
O'Murchadha, which culminated in the theory of Shape Dynamics, a new and
original way of thinking about General Relativity. I conclude commenting on the
present research lines in Shape Dynamics, and the opportunity it offers to
solve the problem of time in quantum gravity.
Support
for this colloquium is provided by The Templeton Frontiers Program.
Gravity
in string theory is a generalized version of Einstein's theory with some
universal features that call for a reformulation
The Rosenbluth Method is a classical kinetic growth Monte
Carlo algorithm for growing a self-avoiding walk by appending steps to its
endpoint.
This algorithm