# Events - 2015

Thursday, August 20, 2015 — 2:00 PM EDT

## Computability Learning Seminar

Michael Deveau, Department of Pure Mathematics, University of Waterloo

“Embedding Lattices in the Computably Enumerable Degrees (Part 3)”

Wednesday, August 19, 2015 — 1:30 PM EDT

## Geometry Working Seminar

Anthony McCormick, Pure Math Department, University of Waterloo

“Iterated Function Systems with Overlap”

Friday, August 14, 2015 — 10:30 AM EDT

## Master's Research Paper Lecture

Jim Haley, Pure Mathematics, University of Waterloo

"Strongly Reductive Operators and Operator Algebras"

Thursday, August 13, 2015 — 2:00 PM EDT

## Computability Learning Seminar

Jonny Stephenson, Pure Mathematics, University of Waterloo

"Embedding Lattices in the Computably Enumerable Degrees (continued)"

This talk is a continuation of one given August 6th.

Thursday, August 13, 2015 — 10:30 AM EDT

## Master's Thesis Seminar

Ehsaan Hossain, Pure Mathematics, University of Waterloo

"The Algebraic Kirchberg--Phillips Conjecture"

Wednesday, August 12, 2015 — 10:30 AM EDT

## Master's Research Paper Lecture

Zack Cramer, Pure Mathematics, University of Waterloo

"Approximation of Normal Operators by Nilpotents in Purely Infinite $C^*$-algebras"

Friday, August 7, 2015 — 10:30 AM EDT

## Master's Essay Lecture

Sam Harris, Pure Mathematics, University of Waterloo

"Kadison Similarity Problem and the Similarity Degree"

Thursday, August 6, 2015 — 2:00 PM EDT

## Computability Learning Seminar

Jonny Stephenson, Pure Mathematics, University of Waterloo

"Embedding Lattices into the Computably Enumerable Degrees"

The question of which finite lattices can be embedded into the c.e.
degrees first arose with the construction of a minimal pair by Yates,
and independently by Lachlan, showing the 4 element Boolean algebra
can be embedded. This result was rapidly generalised to show any
finite distributive lattice can also be embedded. For non-distributive
lattices, the situation is more complicated.

Tuesday, August 4, 2015 — 1:30 PM EDT

## Universal Algebra Seminar

Stanley Burris, Pure Mathematics, University of Waterloo

"An Introduction to Boole's Algebra of Logic for Classes"

Boole's mysterious algebra of logic, based on the algebra of numbers and idempotent variables, has only been properly understood and justified in the last 40 years, more than a century after Boole published his most famous work, Laws of Thought. In this talk an elementary and natural development of Boole's system, from his partial algebra models up to his four main theorems, will be presented.

Thursday, July 30, 2015 — 4:00 PM EDT

Richard Mack, Pure Mathematics, University of Waterloo

"Dual spaces and von Neumann Algebras"

A canonical construction in Linear Algebra is that of the dual space.
In this talk, we consider two questions:
When is a Banach space a dual space?
When is there only one possible predual?

Examples will be presented illustrating that these are not trivial questions, and a major theorem (Sakai's) will be presented giving a broad class of examples for the second question.

Wednesday, July 29, 2015 — 4:30 PM EDT

## Joint Pure Mathematics and Combinatorics & Optimization Colloquium

Patrick Dornian, Combinatorics and Optimization, University of Waterloo

"Disproving the Hirsch Conjecture"

Wednesday, July 29, 2015 — 1:30 PM EDT

## Geometry Working Seminar

Raymond Cheng, Pure Mathematics, University of Waterloo

"Gutting Bundles on Tori"

Tuesday, July 28, 2015 — 2:30 PM EDT

## Number Theory Seminar

Chantal David, Concordia University

“Averages of Euler products and statistics of elliptic curves
Joint work with D. Koukoulopoulos and E. Smith.”

Tuesday, July 28, 2015 — 10:30 AM EDT

## PhD Thesis Defence

Shuntaro Yamagishi, Pure Mathematics, University of Waterloo

"Some additive results in $\mathbb{F}_q[t]$"

We collected several results in $\mathbb{Z}$ of additive number theory and translated to results in $\mathbb{F}_q[t]$. The results we collected are related to slim exceptional sets and the asymptotic formula in Waring's problem, diophantine approximation of polynomials over $\mathbb{Z}$ satisfying  divisibility conditions, and the problem of Sidon regarding existence of certain thin sequences.

Monday, July 27, 2015 — 1:30 PM EDT

## Algebra Learning Seminar

Ehsaan Hossain, Pure Mathematics, University of Waterloo

"The Invariant Basis Number Property"

Thursday, July 23, 2015 — 2:00 PM EDT

## Computability Learning Seminar

Mohammad Mahmoud, Pure Mathematics, University of Waterloo

"A Class of Structures without a Turing Ordinal"

We continue to show that the class Kw has no Turing Ordinal. We construct a set D which is not enumeration reducible to R_\A for any structure \A in Kw. This will imply directly that if the Turing ordinal exists then it must be strictly greater than 0. On the other hand Joe Miller showed that, for our class, if the Turing Ordinal exists it must be 0. Both statements tell us that the Turing Ordinal can't exist.

Wednesday, July 22, 2015 — 2:30 PM EDT

## Geometry & Topology Seminar

‘'Involutions of Higgs bundle moduli spaces”

Wednesday, July 22, 2015 — 2:30 PM EDT

## Student Number Theory Seminar

Asif Zaman, Department of Mathematics, University of Toronto

“Bounding the least prime in an arithmetic progression”

Tuesday, July 21, 2015 — 1:00 PM EDT

## PhD Thesis Defence

Alejandra Vicente Colmenares, Pure Mathematics, University of Waterloo

"Semistable rank 2 co-Higgs bundles over Hirzebruch surfaces"

Monday, July 20, 2015 — 1:30 PM EDT

## Algebra Learning Seminar

Ty Ghaswala, Pure Mathematics, University of Waterloo

"If you love a group, set it free."

The existence of algebraic topology (even if you claim to know nothing about it) should be enough to convince you that doing topology without group theory is difficult, frustrating, alcoholism inducing, and above all, a disservice to topology.  In this talk I hope to convince you, at least for a moment, that thinking about groups while ignoring topology is a disservice to group theory.

Thursday, July 16, 2015 — 2:00 PM EDT

## Computability Learning Seminar

Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo

“The Turing Ordinal”

We present the notion of Turing Ordinal of a class of structures. The Turing Ordinal was introduced by Jockusch and Soare as a computability theoretic method for comparing complexities of classes of structures. We explain an example by Montalban of a class of structures that doesn’t have a Turing Ordinal.

Wednesday, July 15, 2015 — 1:30 PM EDT

## Geometry Working Seminar

Mohamed El Alami, Pure Math Department, University of Waterloo

“Rank 2 vector bundles on Inoue Surfaces”

Monday, July 13, 2015 — 1:30 PM EDT

## Algebra Learning Seminar

Brendan Nolan, University of Kent

“The Dixmier–Moeglin Equivalence”

Thursday, July 9, 2015 — 4:00 PM EDT

## Student Colloquium

Alejandra Vincente Colmenares, Department of Pure Mathematics, University of Waterloo

“Stable vector bundles over Riemann surfaces”

Wednesday, July 8, 2015 — 2:30 PM EDT

## Student Number Theory Seminar

Samin Riasat, Pure Math Department, University of Waterloo

“Division by subtraction, and ordered groups”

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