## 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, March 28, 2018 — 3:30 PM EDT

**Serban Belinschi, Université Toulouse III**

"Noncommutative hyperbolic metrics"

Tuesday, March 27, 2018 — 3:00 PM EDT

“The State of the Union”

Tuesday, March 27, 2018 — 1:30 PM EDT

**Oliver Schlotterer, Max Planck Institute for Gravitational Physics/Perimeter Institute**

"The number theory of string amplitudes"

Monday, March 26, 2018 — 1:30 PM EDT

**Brett Nasserden, Department of Pure Mathematics, University of Waterloo **

“Generalized Mandelbrot sets in the global setting”

Friday, March 23, 2018 — 2:30 PM EDT

**Jonathan Fraser, University of St. Andrews**

"The Assouad spectrum"

Friday, March 23, 2018 — 2:30 PM EDT

**Matthias Nagel, McMaster University**

"Triple linking numbers and surface systems"

We relate fillability of two link exteriors, and the question when two links admit homeomorphic surface systems to (a refinement of) Milnor’s triple linking numbers. This extends a theorem of Davis-Roth to include also links with non-vanishing linking numbers. This is joint work with C. Davis, P. Orson, and M. Powell.

MC 5403

Friday, March 23, 2018 — 2:00 PM EDT

**Jake Zimmermann Simmons, Department of Pure Mathematics, University of Waterloo**

"An example of a variety which is locally finite and residually finite but not residually < N for any natural number N (and also unfortunately not of finite type)"

Wednesday, March 21, 2018 — 2:00 PM EDT

**Eli Shamovich, Department of Pure Mathematics, University of Waterloo**

"Free Function Theory and Operator Algebras"

Tuesday, March 20, 2018 — 3:00 PM EDT

**Nickolas Rollick, Department of Pure Mathematics, University of Waterloo**

"The ideal tool"

Tuesday, March 20, 2018 — 1:30 PM EDT

**Arpita Kar, Queen's University**

"On the normal number of prime factors of Ramanujan Tau function"

We will discuss various results concerning ω(τ(*p*)), ω(τ(*n*)), ω(τ(*p*+1)) where τ denotes Ramanujan Tau function and ω(*n*) denotes the number of prime factors of n counted without multiplicity. This is work in progress with Prof. Ram Murty.

MC 5417

Monday, March 19, 2018 — 1:30 PM EDT

**Brett Nasserden, Department of Pure Mathematics, University of Waterloo**

"Archimedean and non-Archimedean Mandelbrot Sets"

Friday, March 16, 2018 — 2:30 PM EDT

**Dilian Yang, University of Windsor**

"Self-similar higher-rank graph C*-algebras"

Friday, March 16, 2018 — 2:30 PM EDT

**Tatyana Barron, Western University**

"Multisymplectic manifolds and quantization"

Friday, March 16, 2018 — 2:00 PM EDT

**Justin Laverdure, Department of Pure Mathematics, University of Waterloo**

"Residually small varieties have no more than continuum-sized SIs"

We go over a proof of a result of Taylor's: that, in a countable signature, if a variety K has some bound on the size of its subdirectly irreducible algebras (a so-called "residually small" variety), then in fact this bound is at most the cardinality of the continuum.

MC 5479

Wednesday, March 14, 2018 — 3:30 PM EDT

**Tobias Fritz, Max Planck Institute for Mathematics in the Sciences / Perimeter Institute**

"Homogeneous length functions on groups: a Polymath adventure"

Tuesday, March 13, 2018 — 4:30 PM EDT

**Cam Marcott, Department of Combinatorics & Optimization, University of Waterloo**

"What’s an amplituhedron?”

I'll introduce the amplituhedron, focusing on why the suffix "hedron" is justified.

MC 5501

Tuesday, March 13, 2018 — 3:00 PM EDT

**Eric Boulter, Department of Pure Mathematics, University of Waterloo**

"Closed Embeddings and Ideal Sheaves"

This week we will use our intuitive idea of closed subschemes in the affine case to develop closed subschemes in general. As with most of the properties of schemes we have considered so far, closed subschemes will be defined in terms of their associated morphisms, in this case closed embeddings. We will also define locally closed embeddings and look at the conditions under which an ideal sheaf of a scheme induces a closed embedding.

MC 5417

Tuesday, March 13, 2018 — 1:30 PM EDT

**Guhan Venkat, Laval University**

"An integral Euler system for the Rankin-Selberg product of two supersingular modular forms"

Monday, March 12, 2018 — 1:30 PM EDT

**David Urbanik, Department of Pure Mathematics, University of Waterloo**

"The Role of Potential Theory in the Work of Baker-DeMarco"

Friday, March 9, 2018 — 2:30 PM EST

**Mizanur Rahaman, Department of Pure Mathematics, University of Waterloo**

"Eventually Entanglement Breaking Maps"

Friday, March 9, 2018 — 2:30 PM EST

**Nick Rollick, Department of Pure Mathematics, University of Waterloo**

"Approximating projective subvarieties"

Wednesday, March 7, 2018 — 3:30 PM EST

**Liron Speyer, University of Virginia**

"Decomposable Specht modules"

I will give a brief survey of the study of decomposable Specht modules for the symmetric group and its Hecke algebra, which includes results of Murphy, Dodge and Fayers, and myself. I will then report on an ongoing project with Louise Sutton, in which we are studying decomposable Specht modules for the Hecke algebra of type *B *indexed by 'bihooks'.

MC 5403

Wednesday, March 7, 2018 — 2:00 PM EST

**Matthew Harrison-Trainor, Department of Pure Mathematics, University of Waterloo**

"How to know when you've proved the best possible characterization or classification"

Tuesday, March 6, 2018 — 3:00 PM EST

**Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo**

"Elimination theory and closed embeddings"

We finish chapter 7 with a discussion of quantifier elimination and the fundamental theorem of elimination theory; we then begin to study closed embeddings of schemes.

MC 5417

Tuesday, March 6, 2018 — 1:30 PM EST

**François Seguin, Queen's University**

"Prime divisors of sparse values of cyclotomic polynomials"

We will be presenting a result about the largest prime divisor of cyclotomic polynomials evaluated at a specific integer.

MC 5417

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.