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 *...
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...
