## 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 2, 2016 — 10:30 to 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.

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 — 2:30 PM EST

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

“Towards the Bombieri-Vinogradov theorem”

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

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

"More on definable functors, and imaginaries"

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.