Events - 2012

Wednesday, July 11, 2012 — 3:40 PM EDT

Carrie Knolls, Pure Mathematics Department, University of Waterloo

"Back and forth relations - Part II"

Wednesday, July 11, 2012 — 1:00 PM EDT

Spiro Karigiannis, Pure Mathematics Department, University of Waterloo will speak on:

Talk #1: Special types of Hermitian connections, Part I."

Abstract: I will discuss natural classes of connections on almost Hermitian manifolds, including the Bismut connection. I will be following closely the hard-to-find paper by Paul Gauduchon entitled "Hermitian Connections and Dirac Operators".

Tuesday, July 10, 2012 — 2:30 PM EDT

Peter Sinclair, Pure Mathematics Department, University of Waterloo

"Universal Specializations and Elementary Extensions"

Abstract: We will begin this talk by introducing universal
specializations (section 2.2.1 in Zilber), which are specializations
that behave very nicely when extended further. We will then discuss
irreducible coverings (section 3.5.2), and begin to show that an

Tuesday, July 10, 2012 — 10:00 AM EDT

Xiaomei Zhao, Pure Mathematics Department, University of Waterloo

"New strategies for minor arc estimates: Part I"

We have seen the outline of the circle method in Waring's
problem from Shuntaro's talks, where the minor arc contribution was
established by combining Weyl's inequality with Hua's lemma. In my two
talks, we will continue to see some improvements on minor arc estimates.

Thursday, July 5, 2012 — 3:30 PM EDT

Shanta Laishram Indian Statistical Institute (ISI)

“Baker’s Explicit ABC-Conjecture and Applications”

The conjecture of Masser-Oesterl ́e, popularly known as abc-conjecture have many consequences. We use an explicit version due to Baker to solve a number of conjectures. This is a joint work with T. N. Shorey.

Thursday, July 5, 2012 — 1:00 PM EDT

Omar Leon Sanchez, Department of Pure Mathematics, University of Waterloo

“Morphisms between spectrums.”

We will see why a ring homomorphism A → B naturally induces a morphism (SpecB,OB) → (Spec A, OA) and why the converse is also true.

Wednesday, July 4, 2012 — 1:00 PM EDT

Benoit Charbonneau & Ren Zhu, Pure Mathematics, University of Waterloo

Wednesday, July 4, 2012 — 10:30 AM EDT

Ross Willard, Pure Mathematics Department, University of Waterloo

"Solving group constraints - IV"

This is the fourth, and hopefully last, 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, July 3, 2012 — 2:30 PM EDT

Peter Sinclair, University of Waterloo

"Pre-Smoothness - Part II"

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 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

Peter Sinclair, Pure Mathematics Department, University of Waterloo

“Pre-Smoothness”

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

Chris Conidis, Pure Mathematics Department, University of Waterloo

"The Complexity of Ascendant Sequences in Locally Nilpotent Groups - Part II"

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

Benoit Charbonneau & Sprio Karigiannis, Pure Mathematics Department, University of Waterloo.

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

Omar Leon Sanchez, Pure Mathematics Department, University of Waterloo

"Examples of Zariski Structures - Part II"

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

Tuesday, June 19, 2012 — 1:30 PM EDT

Shuntaro Yamagishi, Pure Mathematices Department, University of Waterloo 

"Circle Method on Waring's Problem (Minor Arcs)"

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

Jason Bell, Simon Fraser University

"The Dixmier-Moeglin equivalence"

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

Robert Garbary, Pure Mathematics Department, University of Waterloo

"More on localisations"

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

Chris Conidis, Pure Mathematics Department, University of Waterloo

"The Complexity of Ascendant Sequences in Locally Nilpotent Groups"

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

Ross Willard, Pure Mathematics Department, University of Waterloo

"Solving group constraints - III"

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

Omar Leon Sanchez, Pure Mathematics Department, University of Waterloo

"Examples of Zariski Structures"

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

Shuntaro Yamagishi, Pure Mathematics Department, University of Waterloo

"Circle Method on Waring's Problem (Major Arcs)"

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

Tyrone Ghaswala, Department of Pure Mathematics, University of Waterloo

“Spec-tacular”

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

Matthew Harrison-Trainor, Pure Mathematics University of Waterloo

“Omitting Partial Types and Hyperimmune Degrees - Part II”

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

Matthew Beckett, Pure Mathematics, University of Waterloo

"Scaling arguments for the Yang-Mills action"

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

Ross Willard, Pure Mathematics Department, University of Waterloo

“Solving group constraints - Part II”

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.

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