Events

David McKinnon, Department of Pure Mathematics, University of Waterloo

“Integral points on punctured varieties”

What is an integral point, really? Turns out theres a natural characterisation in terms of schemes (dont worry, Ill be gentle), and theres a natural generalization that appears once you look at the question scheme-theoretically.

Suzanne Findleton, Pure Mathematics, University of Waterloo

"Gluing constructions and separated schemes"

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.

Xiangwen Zhang, Columbia University

“ALEXANDROV’S UNIQUENESS THEOREM FOR CONVEX SURFACES”

A classical uniqueness problem of Alexandrov says that a closed, strictly convex twice differentiable surface in

James A. Mingo, Queen’s University

“Freeness and the Transpose”

One of the most stunning achievements of free probability theory is that freeness can be used to model certain ensembles of random matrices.

Ross Willard, Pure Mathematics, University of Waterloo

"Adding Gaussian elimination to local consistency checking - 5"

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.

Spiro Karigiannis, Pure Mathematics, University of Waterloo

"Intro to Calibrations, Instantons, and Branes"

I will introduce the concept of a calibration on a Riemannian manifold and its associated calibrated submanifolds. These are special minimal submanifolds defined by a system of first order, often fully nonlinear, partial differential equations.

Mohammad Mahmoud, Department of Pure Mathematics University of Waterloo

“Goncharov’s Theorem”

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

Jack Huizenga, University of Illinois at Chicago

"Interpolation problems in algebraic geometry"

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

Philip Xiao, Pure Mathematics, University of Waterloo

"K-theory of C*-algebras and of topological spaces -- Part II"

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

Ty Ghaswala, Pure Mathematics, University of Waterloo

"Grothendieck, Whitehead and a reasonably short exact sequence"

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.

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Number Theory seminar

David McKinnon, Department of Pure Mathematics, University of Waterloo

“Integral points on punctured varieties”

Geometry working seminar

Suzanne Findleton, Pure Mathematics, University of Waterloo

"Gluing constructions and separated schemes"

Geometry & Topology seminar

Xiangwen Zhang, Columbia University

“ALEXANDROV’S UNIQUENESS THEOREM FOR CONVEX SURFACES”

Analysis seminar

James A. Mingo, Queen’s University

“Freeness and the Transpose”

Universal Algebra seminar

Ross Willard, Pure Mathematics, University of Waterloo

"Adding Gaussian elimination to local consistency checking - 5"

Tuesday Geometry Working seminar

Spiro Karigiannis, Pure Mathematics, University of Waterloo

"Intro to Calibrations, Instantons, and Branes"

Computability learning seminar

Mohammad Mahmoud, Department of Pure Mathematics University of Waterloo

“Goncharov’s Theorem”

Pure Mathematics special colloquium

Jack Huizenga, University of Illinois at Chicago

"Interpolation problems in algebraic geometry"

K-Theory for C* Algebras and Vector Bundles seminar

Philip Xiao, Pure Mathematics, University of Waterloo

"K-theory of C*-algebras and of topological spaces -- Part II"

Algebra learning seminar

Ty Ghaswala, Pure Mathematics, University of Waterloo

"Grothendieck, Whitehead and a reasonably short exact sequence"

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