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...
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...
