Last week, Rob seamlessly introduced the bar resolution, and showed us how we can view elements of Hn(G, A) as equ
A well-known question in differential geometry is to prove the isoperimetric inequality under intrinsic curvature conditions. In dimension 2, the isoperimetric inequality is controlled by the integral of the positive part of the Gaussian curvature. In my recent work, I prove that on simply connected conformally flat manifolds of higher dimensions, the role of the Gaussian curvature can be replaced by the Branson's Q-curvature.
We have probably come across the term ”SPECTRUM” in different contexts, and we may wonder how they are related to each other.
I will complete the proof that a certain syntactic condition characterizes the class of varieties having a difference term.
Let A be a simple unital purely infinite C*-algebra whose K0 group is a torsion group.
In this talk I will give an overview of an area of mathematics that combines the theory of operator algebras with ideas and methods from commutative algebra and classical algebraic geometry. The basic idea is to study operators (or matrices) satisfying a system of polynomial equations.
I will state and prove one last Lemma, and then quickly prove the main Lemma stated last week. After that, I will go through section 7.3.
**Postponed until January, 2014**
We will be discussing some notes by Shingo Murukami (available online) on exceptional Lie groups (particularly G2 and F4) and their relations to the octonions, including the notion of triality. This will be the first of at least two parts.
I will report on recent where we define an invariant of diffeomorphisms and homotopies of a G2 structure on a closed 7-manifold M.