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...
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...
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 *...
