## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Tuesday, April 25, 2017 - 2:30 PM EDT

**Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo**

"Simons' Inequality and consequences"

We will prove the Simons' Inequality which is satisfied by the laplacian of the normed square of the second fundamental form of any minimal hypersurface in $\mathbb{R}^n$. We will then prove various consequences of the inequality, including results of Choi and Schoen, Hopf and that of Schoen/Leon Simon/Yau.

MC 5479

Tuesday, April 25, 2017 - 3:30 PM EDT

**Michael Deveau, Department of Pure Mathematics, University of Waterloo**

"The Slaman-Wehner Family"

We introduce the Slaman-Wehner family, and use it to build a structure with an important property: it has no computable copy, but is computable in any non-computable set. In other words, this structure's degree spectrum is equal to the set of non-computable sets.

MC 5403

Thursday, April 27, 2017 - 2:30 PM EDT

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

"A new construction of compact $G_2$~manifolds by glueing Eguchi-Hanson spaces, Part I: Overview"

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

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