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...
Recent advancements in quantum error correction have led to
breakthroughs in good quantum low-density parity-check (qLDPC)
codes, which offer asymptotically optimal code rates and distances.
However, several open questions remain, including the...
ARSHEEF is a collaborative project and a website that makes
available up-to-date guides to libraries and archives across North
Africa, the Middle East, the Caucasus, and South Asia, as well as
digital options for those who cannot travel.
The study of the topology of hyperplane arrangement complements
has long been a central part of combinatorial algebraic geometry. I
will talk about intersection pairings on the twisted (co)homology
for a hyperplane arrangement complement, first...
I will motivate the study of the Schubert variety of a pair of
linear spaces via Kempf collapsing of vector bundles. I'll describe
equations defining this variety and how this yields a simplicial
complex determined by a pair of matroids which...
I will describe the duality of incompressible Navier-Stokes
fluid dynamics in three dimensions, leading to its reformulation in
terms of a one-dimensional momentum loop equation.
The decaying turbulence is a solution of this equation
equivalent to a...
