## 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

**University COVID-19 update:** visit our Coronavirus Information website for more information.

Please note: The University of Waterloo is closed for all events until further notice.

Tuesday, March 26, 2019 — 9:00 AM EDT

**Patrick Naylor, Department of Pure Mathematics, University of Waterloo**

"Trisections of 4-manifolds"

Trisections were introduced by Gay and Kirby in 2013 as a way to study 4-manifolds. They are similar in spirit to a common tool in a lower dimension: Heegaard splittings of 3-manifolds. These both have the advantage of changing problems about manifolds into problems about combinatorics of curves on surfaces. This talk will be a relaxed introduction to these decompositions. Time permitting, we will talk about some recent applications.

MC 5413

Tuesday, March 26, 2019 — 10:30 to 10:30 AM EDT

**Remi Jaoui, Department of Pure Mathematics, University of Waterloo**

"Failure of essential surjectivity"

We consider Example 3.2 of the Bakker-Brunebarbe-Tsimerman paper, of an analytic line bundle on **G**m that does not definably trivialise.

MC 5479

Tuesday, March 26, 2019 — 12:30 to 12:30 PM EDT

**Vandita Patel, University of Toronto**

"A Galois property of even degree Bernoulli polynomials"

Let $k$ be an even integer such that $k$ is at least $2$. We give a (natural) density result to show that for almost all $d$ at least $2$, the equation $(x+1)^k + (x+2)^k + ... + (x+d)^k = y^n$ with $n$ at least $2$, has no integer solutions $(x,y,n)$. The proof relies upon some Galois theory and group theory, whereby we deduce some interesting properties of the Bernoulli polynomials. This is joint work with Samir Siksek (University of Warwick).

MC 5417

Tuesday, March 26, 2019 — 2:30 PM EDT

**Ben Webster, Department of Pure Mathematics, University of Waterloo**

"Coulomb, Galois, Gelfand-Tsetlin"

In the grand tradition of naming objects after mathematicians who knew nothing about them, I'll talk a bit about Galois orders, their Gelfand-Tsetlin modules, and how most important examples are Coulomb branches.

Tuesday, March 26, 2019 — 5:00 PM EDT

**Ragini Singhal, Department of Pure Mathematics, University of Waterloo**

"Surfaces, Minimal surfaces, Willmore surfaces and much more"

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