## 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

Tuesday, February 9, 2016 — 2:30 PM EST

**Stanley Xiao, Department of Pure Mathematics, University of Waterloo **

“Equidistribution to large moduli”

Tuesday, February 9, 2016 — 1:00 PM EST

**Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo **

“Weyl curvature, conformal geometry, and uniformization: Part III”

Tuesday, February 9, 2016 — 10:30 AM EST

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

“Morita Theory V: Morita Contexts, cont’d”

Friday, February 5, 2016 — 3:30 PM EST

**Serban Belinschi, University of Toulouse, France **

“A Julia-Caratheodory Theorem for noncommutative functions (and some applications)”

Friday, February 5, 2016 — 2:30 PM EST

**Andreas Malmendier, Utah State University**

“The special function identities from Kummer surfaces or the identity Ernst Kummer missed.”

Thursday, February 4, 2016 — 3:30 PM EST

**Alex Kruckman, University of California, Berkeley**

“Properly Ergodic Structures”

Thursday, February 4, 2016 — 2:30 PM EST

**Ian Payne, Pure Mathematics, University of Waterloo**

"A result on constraint satisfaction problems: part 3"

In this talk, I will begin going through Bulatov's proof that a nonempty standard $(2,3)$-system with potatoes from a variety of $2$-semilattices has a solution. It should take two lectures to complete the proof.

Thursday, February 4, 2016 — 1:30 PM EST

**John J.C. Saunders, Department of Pure Mathematics, University of Waterloo**

“Random Fibonacci Sequences”

Wednesday, February 3, 2016 — 3:30 PM EST

**Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo **

“Bases for Randomness”

Wednesday, February 3, 2016 — 2:00 PM EST

**Henry Li, Department of Pure Mathematics, University of Waterloo **

“BRST Quantization”

Wednesday, February 3, 2016 — 1:00 PM EST

Raymond Cheng, Pure Mathematics, University of Waterloo

"Hilbert Scheme of Points on Surfaces"

Finally, we are in place to discuss the Hilbert scheme of points in a surface. We will discuss some geometric properties of this Hilbert scheme. In particular, we will attempt to explain why the Hilbert scheme of points in the affine plane is smooth and irreducible scheme. We may also give a description of this Hilbert scheme in a way suggestive for future discussions.

Wednesday, February 3, 2016 — 11:00 AM EST

**Raymond Cheng, Pure Mathematics, University of Waterloo**

"Donuts and Pants, then Quasiconformal Maps"

Tuesday, February 2, 2016 — 3:30 PM EST

**Rahim Moosa, Pure Mathematics, University of Waterloo**

"More on definable functors, and imaginaries"

Tuesday, February 2, 2016 — 2:30 PM EST

**Stanley Xiao, Department of Pure Mathematics, University of Waterloo**

“Towards the Bombieri-Vinogradov theorem”

Tuesday, February 2, 2016 — 1:00 PM EST

**Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo **

“Weyl curvature, conformal geometry, and uniformization: Part II”

Tuesday, February 2, 2016 — 10:30 AM EST

**Hongdi Huang, Pure Mathematics, University of Waterloo**

"Morita Theory IV: The Morita Context"

If $F:\mathrm{Mod}_R \rightarrow \mathrm{Mod}_S$ is a Morita equivalence, then it preserves progenerators, so $P_S:= F(R_R)$ is a progenerator in $\mathrm{Mod}_S$. We'll see that that $P_S$ has a left $R$-module structure and $F\simeq -\otimes _RP_S$, thus giving rise to a \textit{Morita context} between $R$ and $S$. Conversely, the existence of a Morita context implies that $R$ and $S$ are Morita equivalent.

Monday, February 1, 2016 — 4:00 PM EST

**John Duncan, Emory University **

“Recent Developments in Moonshine”

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 Indigenous Initiatives Office.