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...
For a polynomial f∈ℚ[x], Hilbert's irreducibility theorem
asserts that the fiber f−1(a) is irreducible over ℚ for all values
a∈ℚ outside a "thin" set of exceptions Rf. The problem of
describing Rf is closely related to determining the
monodromy...
Speaker, Ryan Dubnicek, Digital Humanities
Specialist, HathiTrust Research Center
This workshop will introduce attendees to the HathiTrust
Research Center’s tools and services for utilizing the massive
HathiTrust Digital Library for computational...
For the Bargmann--Fock field on Rd with d>2, we prove that
the critical level lc(d) of the percolation model formed by the
excursion sets {f≥l} is strictly positive. This implies that for
every l sufficiently close to 0 (in particular for the nodal...
The past decade has seen the emergence of surprising new
connections between the real-world physics of elementary particle
scattering processes, and simple new mathematical structures in
combinatorics, algebra and geometry. These ideas provide, in
a...
Cosmic rays, the relativistic component of diffuse astrophysical
plasma, exchange energy and momentum with the thermal gas
collisionlessly, mediated by the ambient magnetic field. Some but
not all models of this interaction show that cosmic rays can...
A locally testable code (LTC) is an error correcting code that
admits a very efficient membership test. The tester reads a
constant number of (randomly - but not necessarily uniformly -
chosen) bits from a given word and rejects words with...
