My work on the lexicon of the Quran stems from my interest in
contact between Aramaic and Arabic. A question to ask is: ‘What has
the Quran contributed to the lexicon of Arabic? And what are its
sources?’ Using the Tanzil.net digital Uthmani text of...
A classical branching theorem of Weyl describes how an
irreducible representation of
compact U(n+1)U(n+1) decomposes when restricted
to U(n)U(n). The local Gan-Gross-Prasad conjecture provides a
conjectural extension to the setting of...
Since the first detection of a gravitational wave event of the
merger of two neutron stars in 2017, two more detections in the
neutron star mass range have been announced. The first one,
GW190425, involved an unusually massive neutron star, the...
The goal of this talk is two-fold. We state a parabolic version
of the two realizations theorem and sketch a proof. This version
relates Iwahori-constructible sheaves on parabolic affine flag
variety to coherent sheaves on a parabolic version of the...
In [MIP*=RE by JNVWY] the authors construct a non-local game
that resolves Tsirelson's problem to the negative and by that
refute Connes' embedding conjecture (CEC). The game *-algebra (see
e.g. [KPS]) enables one to construct a finitely presented *...
Some of the central questions in complexity theory address the
amortized complexity of computation (also sometimes known as direct
sum problems). While these questions appear in many contexts, they
are all variants of the following:
String topology, as introduced by Chas and Sullivan 20 years
ago, is a product structure on the free loop space of a manifold
that lifts the classical intersection product from the manifold to
its loop space. I’ll explain how both a product and a...
