Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
We’ve seen the definition of K1 and a six term exact sequence, but we still have no intuition for what they are and how to compute them. This talk will be devoted to filling that gap by showing you some examples.
Whilst classification results may not, on the surface, appear too
interesting, the classification program for nuclear C*-algebras has
raised numerous thought-provoking questions and led to the development of many useful, structural tools that have applications outside of the
program. In this talk, we shall discuss why this is, and give a number of
For an ideal $I \triangleleft R$, we will define the relative $K$-groups $K_0(R,I)$, $K_1(R,I)$ and talk about the (not long, not short, but just right) exact sequence. This sequence will provide us with a useful tool for computing $K$-groups.
We will continue and finish the proof that $K^0 (X) \cong K_0 (C(X))$
for $X$ a compact Hausdorff space. We'll see some simple examples, but
computing the $K_0$ (or $K^0$) can be difficult in general. In hope to
aid computation, we'll take a look at the functoriality of $K_0$ and
Classical Lagrangian interpolation states that one can always prescribe
$n+1$ values of a single variable polynomial of degree $n$. This result
paves the way for many beautiful generalizations in algebraic geometry.
I will discuss a few of these generalizations and their relevance to
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.