A symplectic singularity has a natural stratification by Poisson
leaves, which are symplectic, hence even-dimensional.
Perverse sheaves constructible with respect to this stratification
are semisimple if the coefficients are in characteristic
zero...
According to Langlands’ conjectures, algebraic automorphic forms
should be parametrized by global Galois representations, and smooth
representations of pp-adic groups should be parametrized by
local Galois representations. These parametrizations...
We consider a system of NN particles evolving
according to the gradient flow of their Coulomb or Riesz
interaction, or a similar conservative flow, and possible added
random diffusion. By Riesz interaction, we mean inverse
power ss of the distance...
I will describe a program aimed at understanding numerics of
representations of quantized symplectic resolutions in positive
characteristic. A key ingredient is a generalization of the action
of the affine braid group on the derived category of...
In the max cut problem, we are given an n-vertex graph and we
are asked what is the maximum fraction of edges "cut" by any
partition of the vertices? This problem can be reformulated as an
optimization problem over the cut polytope, which has...
Inspired by the symplectic Banach-Mazur distance, proposed by
Ostrover and Polterovich in the setting of non-degenerate
starshaped domains of Liouville manifolds, we define a distance on
the space of contact forms supporting a given contact...
In 1985, Casson introduced an invariant of integer homology
3-spheres by counting SU(2)SU(2)-representations of the
fundamental groups. The generalization of Casson invariant by
considering Lie groups SU(n) has been long expected, but the
original...
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...
