The second lecture features the nuts and bolts of the invariants
from first lecture, which we call foundations. We explain the
structure theorem for foundations of ternary matroids, which is
rooted in Tutte's homotopy theorem. We show how this...
The search for signs of life beyond Earth is a key motivator in
exoplanet research. A suitable “biosignature gas” is one
that: can accumulate in an atmosphere against atmospheric radicals
and other sinks; has strong atmospheric spectral features...
Lecture Series Framework: A unifying framework for
F1-geometry, tropical schemes and matroid theory. In this series of
3 lectures, I will present a recent approach towards F1-geometry
and its links to tropical geometry, matroid theory,
Lorentzian...
In this talk we will discuss some aspects of the question: given
a group, what is the range of Furstenberg entropy of ergodic
stationary actions of it? For the special linear group and its
lattices, constraints on this spectrum come from Nevo-Zimmer...
Over a five-year period, the Dark Energy Spectroscopic
Instrument (DESI) will spectroscopically classify nearly 40 million
galaxies and quasars over 1/3 of the sky and to redshifts z 3.5.
The DESI collaboration has completed measurements of the...
The question of asbolute continuity, with respect to the
reference measure, of the harmonic measure on a domain with rough
boundary has been the object of many important results. Here we ask
about the similar question, but where the Dirichlet...
Symplectic manifolds exhibit curious behaviour at the interface
of rigidity and flexibility. A non-squeezing phenomenon discovered
by Gromov in the 1980s was the first manifestation of this. Since
then, extensive research has been carried out into...
The Brunn-Minkowski inequality is a fundamental result in convex
geometry controlling the volume of the sum of subsets of ℝn.
It asserts that for sets A,B⊂ℝn of equal volume and a
parameter t∈(0,1), we have |tA+(1−t)B|≥|A| with equality iff A=B
is...
In alignment with the current School of Social Science theme
seminar, titled “The Politics of Migration and Displacement as a
Form of Life,” the School of Social Science hosted Philippe
Lazzarini, the Commissioner-General of UNRWA, the UN agency...
The analytic de Rham stack is a new construction in Analytic
Geometry whose theory of quasi-coherent sheaves encodes a notion of
p-adic D-modules. It has the virtue that can be defined even under
lack of differentials (eg. for perfectoid spaces or...
