## 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

Thursday, August 23, 2012 — 5:00 PM EDT

This talk will be about the fields of p-adic numbers -- which, like the

real numbers, are completions of the rationals, but with respect to a

different metric -- the metric that reflects divisibility by a prime p.

We will see some very strange effects caused by this unusual metric, do

Monday, August 20, 2012 — 5:00 PM EDT

In this trilogy of tales, we will meet three women who persevered

against all odds to leave a lasting mark on mathematics and

on future generations.

Thursday, August 16, 2012 — 2:30 PM EDT

We study the Mahler measure of the three-variable Laurent

polynomial x+1/x+y+1/y+z-k where k is a parameter. The zeros of this

polynomial define (after desingularization) a family K3-surfaces. In

favorable cases, a singular K3-surface is obtained and the Mahler measure

is related to its L-function. This was first studied by Marie-Jose Bertin.

Wednesday, August 15, 2012 — 4:30 PM EDT

The jump is an operator on sets with nice properties. It is

defined as the halting set relativized to oracles, but this

definition does not take into account how far we use the oracle. This

leads to the fact that some of these nice properties

do not hold for the bounded Turing reducibility, such as the

Schoenfield jump inversion. We will define another

Wednesday, August 15, 2012 — 2:30 PM EDT

Wednesday, August 15, 2012 — 1:00 PM EDT

Many geometric structures (such as Riemannian, conformal, CR,

projective, systems of ODE, and various types of generic

distributions) admit an equivalent description as Cartan geometries.

For Cartan geometries of a given type, the maximal amount of symmetry

is realized by the flat model. However, if the geometry is not

Thursday, August 9, 2012 — 4:00 PM EDT

Thursday, August 9, 2012 — 2:30 PM EDT

In this seminar, our focus is on introducing several new geometrically

motivated concepts, namely coverings, multiplicity, and local

functions. Time permitting, we may also discuss topological sorts, a

tool that allows us to generate new Zariski structures from a given

Zariski structure.

Thursday, August 9, 2012 — 1:00 PM EDT

Let K be a perfect field (i.e. K = Kp), L ≥ K and x an n-tuple of indeterminates. We will intensely look at the question: If I is radical in K[x], is IL[x] radical as well? As a consequence we will be able to answer the questions:

Wednesday, August 8, 2012 — 3:40 PM EDT

Wednesday, August 8, 2012 — 3:09 PM EDT

Wednesday, August 8, 2012 — 1:00 PM EDT

Tuesday, August 7, 2012 — 10:00 AM EDT

In this talk I will discuss the problem of finding powerfree values of polynomials in one or two variables, with an emphasis on the determinant method of D.R. Heath-Brown.

Thursday, August 2, 2012 — 2:30 PM EDT

In this seminar, our focus is on introducing several new geometrically

motivated concepts, namely coverings, multiplicity, and local

functions. Time permitting, we may also discuss topological sorts, a

tool that allows us to generate new Zariski structures from a given

Zariski structure.

Wednesday, August 1, 2012 — 3:40 PM EDT

We will begin by finishing the proof of the meta-theorem on n-systems, and then we will look at an application of back-and-forth relations and n-systems.

Wednesday, August 1, 2012 — 1:00 PM EDT

Abstract:

University 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

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

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.