## 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

Wednesday, June 27, 2012 — 1:00 PM EDT

Alejandra Vicente-Colmenares & Brad Dart, Pure Mathematics Department University of Waterloo

Tuesday, June 26, 2012 — 2:30 PM EDT

Abstract

In this talk, we will introduce a broader definition of pre-smoothness for general constructible sets, and discuss some properties of pre-smooth sets. Time permitting, we will also look at the specific case when the pre-smooth set is an algebraic curve.

Wednesday, June 20, 2012 — 3:40 PM EDT

We will give a computably enumerable construction of ascendant sequences in locally nilpotent groups via P. Hall's Collection Process for nilpotent groups.

Wednesday, June 20, 2012 — 1:00 PM EDT

Talk 1:

"Flow of connections within a complex gauge equivalence class" (Benoit Charbonneau)

Given a vector bundle on a Kähler manifold, and a connection on this vector bundle, one can hope to minimize the part of the curvature parallel to the Kähler form following a heat flow. We will explore the details of this construction.

Tuesday, June 19, 2012 — 2:30 PM EDT

In the following two weeks we will see why the following are examples of Zariski structures:

Tuesday, June 19, 2012 — 1:30 PM EDT

A classic application of Hardy-Littlewood circle method is the Waring's problem. This talk is meant to be an introduction to circle method. I will cover the minor arcs in the second week.

Thursday, June 14, 2012 — 3:00 PM to 5:00 PM EDT

Thursday, June 14, 2012 — 1:00 PM to 2:00 PM EDT

We will continue to discuss the relationship between basic open subsets of Spec(R) and localisations of R. Then we describe how to view R as the ring of functions on Spec(R).

Wednesday, June 13, 2012 — 3:40 PM to 5:00 PM EDT

We will give a computably enumerable construction of ascendant sequences in locally nilpotent groups via P. Hall's Collection Process for nilpotent groups.

Wednesday, June 13, 2012 — 1:00 PM to 2:30 PM EDT

This is the third of several lectures in which I will describe an

algorithm for problems whose constraints are cosets of subgroups of powers of a fixed group.

Please note time.

Tuesday, June 12, 2012 — 2:30 PM to 3:00 PM EDT

In the following two weeks we will see why the following are examples of Zariski structures:

Tuesday, June 12, 2012 — 10:00 AM to 11:00 AM EDT

Abstract: A classic application of Hardy-Littlewood circle method

is the Warding's problem. This talk is meant to be an

introduction to circle method. I will cover the major arcs in the

first week.

Thursday, June 7, 2012 — 1:00 PM to 2:00 PM EDT

We will continue talking about the Zariski topology on Spec(R) for R a ring, getting our hands dirty proving some basic properties about it.

Wednesday, June 6, 2012 — 3:40 PM to 5:00 PM EDT

We will show that hyperimmune degrees are able to omit non-principal partial types, and in fact are the only such types. By seeing that this proof can be carried out in RCA0, we will show that omitting partial types and the existence of hyperimmune degrees are equivalent over RCA0.

Wednesday, June 6, 2012 — 1:00 PM to 4:00 PM EDT

Wednesday, June 6, 2012 — 10:30 AM to 12:00 PM EDT

This is the second of several lectures in which I will describe an algorithm for problems whose constraints are cosets of subgroups of powers of a fixed group.

Tuesday, June 5, 2012 — 2:30 PM to 3:30 PM EDT

Tuesday, June 5, 2012 — 10:00 AM to 11:00 AM EDT

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.