In this talk I will give a historical overview of the progress made on the power-free values of polynomial problem.
In this colloquium we will discuss a problem commonly known as the Burnside problem, posed by English mathematician William Burnside in 1902.
One of the most basic problems of free probability is how to calculate the moments of a sum of two free elements in a noncommutative probability space.
A law is a universally quantified equation, such as the associative law or the commutative law. I intend to talk about the problem of determining which algebras have a finite basis for their laws. Most of my talk will be about the laws of finite algebras.
Continuing our discussion of solvable Lie algebras. The intention is to work through a proof of Engel's Theorem on nilpotent algebras. If you weren't there last week, no worries! You didn't miss much.
This talk will begin with an introduction to abelian varieties, which are projective varieties having the structure of an abelian group. Abelian varieties of dimension 1 are elliptic curves. Our focus will be on abelian varieties of dimension 2.
It is well known that sharp estimates on the number of rational
points near manifold can lead to solutions of some long standing
I shall prove that a subpomonoid U of a pomonoid S is closed (in S) iff U is such as a monoid.
In B(H) (the set of bounded operators on a Hilbert space), the spectral flow counts the net number of eigenvalues which change sign as one travels along a path of self-adjoint Fredholm operators. The ability to calculate the spectral flow allows one to calculate the Fredholm index of some operators, making it of interest in the study of noncommutative geometry.
In the seminar, we will show that any syntactically simple (2,3)- minimal instance is a weak Prague instance.