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...
What edge density of a graph guarantees that that it will
contain a particular subgraph? Or one of a given
family F of subgraphs? The celebrated
Erdős--Stone--Simonovits Theorem characterizes the maximum edge
density in F-free graphs, in terms of...
Composer and performance pioneer Pamela Z is at the
forefront of exploring the boundary between live and
electronic performance. Her delicate, intricate, elaborate
songs are accompanied by electronic sounds that are triggered by
her own movements...