## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Thursday, November 13, 2014 — 3:30 PM EST

Wednesday, November 12, 2014 — 4:00 PM EST

Wednesday, November 12, 2014 — 1:30 PM EST

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.

Wednesday, November 12, 2014 — 11:30 AM EST

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

Tuesday, November 11, 2014 — 4:00 PM EST

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

Tuesday, November 11, 2014 — 3:30 PM EST

We continue through the proof of Goncharov’s Theorem from Mcpherson’s research paper.

Tuesday, November 11, 2014 — 1:00 PM EST

Tuesday, November 11, 2014 — 10:30 AM EST

In this fifth of several lectures, I continue the analysis of

singular pairs of variables, studying their effect on the congruence

lattice of their associated constraint relation.

Friday, November 7, 2014 — 3:30 PM EST

Friday, November 7, 2014 — 2:30 PM EST

Friday, November 7, 2014 — 1:00 PM EST

In this talk, we explain how one can obtain new schemes by gluing together a collection of schemes. This is known as the "gluing construction", which can produce for example projective n-space over a given ring. We also introduce the notion of a separated scheme and explain its relation to Hausdorffness.

Thursday, November 6, 2014 — 1:30 PM EST

Wednesday, November 5, 2014 — 1:30 PM EST

Tuesday, November 4, 2014 — 1:00 PM EST

Given an isometric immersion, we will study further how the second

fundamental form allows the geometry in the ambient space to be

decomposed into geometry on the tangent and normal bundles. In

particular, we'll discuss the Gauss-Codazzi equations. In the second

part of the talk, we will look at totally geodesic immersions and some

Tuesday, November 4, 2014 — 10:30 AM EST

Monday, November 3, 2014 — 4:00 PM EST

Groupoid C*-algebras form a unifying framework for a number of classes of C*-algebras including commutative ones, group C^*-algebras, group action cross products and Cuntz-Krieger, or graph, C*-algebras. Often purely algebraic properties of these algebras can be understood in terms of the groupoids, e.g., simplicity, Morita equivalence, the primitive ideal structure.

Friday, October 31, 2014 — 2:30 PM EDT

Friday, October 31, 2014 — 1:00 PM EDT

Wednesday, October 29, 2014 — 11:30 PM EDT

Wednesday, October 29, 2014 — 3:30 PM EDT

Wednesday, October 29, 2014 — 1:30 PM EDT

Tuesday, October 28, 2014 — 10:30 AM EDT

Monday, October 27, 2014 — 4:00 PM EDT

Friday, October 24, 2014 — 3:30 PM EDT

Friday, October 24, 2014 — 2:30 PM EDT

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1