The Jones Polynomial is an important invariant of knots with applications in physics, quantum computation and more. In this talk I will introduce a family of generalizations of the Jones polynomial associated to permutations of finite sets and discuss their properties.
A classical principle in algebraic geometry is that a general hyperplane section of a variety should have singularities no worse than those of the variety itself. Over the complex numbers, this principle is known to hold for rational singularities. Rational singularities are related via reduction mod p to a notion called F-rationality, which is defined […]
This will be a sequel of my last ANTC talk on bundles of probability schemes. We introduce entropy for fiber bundles of probability schemes and higher-order entropy for hypercubes of […]
