Events

Filter by:

Limit to events where the title matches:
Limit to events where the first date of the event:
Date range
Limit to events where the type is one or more of:
Limit to events tagged with one or more of:
Limit to events where the audience is one or more of:

AJ Fong (University of Waterloo)

Galois actions on the Picard groups of K3 surfaces of rank 2

We are interested in studying the actions of the absolute Galois group on curves on surfaces. As surfaces of intermediate type, K3 surfaces can be considered geometric analogues of elliptic curves. In this talk I will describe the combinatorial data controlling the possible actions of the Galois group, and ongoing work on constructing (more) explicit examples of surfaces with the desired actions.

MC 5479

Thursday, October 22, 2026 2:30 pm - 3:30 pm EDT (GMT -04:00)

Pure Math Colloquium | Nigel Hitchin | Geometry and Physics in two dimensions

Nigel Hitchin (University of Oxford)
Geometry and Physics in two dimensions
Fifty years ago, gauge theory in four dimensions brought new techniques into play in geometry and established a dialogue between physicists and mathematicians which has persisted. The talk will discuss ways in which these aspects have been adopted in studying quite concrete problems in two dimensions of interest to both communities. They reveal both the benefits and limitations of having alternative viewpoints.
DC 1302
Friday, October 23, 2026 9:30 am - 11:00 am EDT (GMT -04:00)

Algebraic Geometry Working Seminar | Abdullah Zubair | Fantastacks

Abdullah Zubair (University of Waterloo)

Fantastacks

In this talk, we will discuss fantastacks which are a special family of toric stacks whose construction parallels the Cox construction of toric varieties. We will compute the Picard group of any fantastack and give an idea of how to compute the cohomology of line bundles.

In the pre-seminar period, I will give a brief overview of toric stacks.

MC 5403

Thursday, October 29, 2026 2:30 pm - 3:30 pm EDT (GMT -04:00)

Intro to My Research | Matt Satriano

Matt Satriano (University of Waterloo)

Intro to My Research

This is a series of talks by faculty members explaining their research at a level aimed at master's students. All other department members are welcome as well.

MC 5501

Dylan Galt (Harvard University)
Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons
I will describe ongoing joint work with Langte Ma constructing generalized anti-self-dual (ASD) instantons over product manifolds. In a previous paper, we used an integrability theorem to describe the moduli space of generalized anti-self-dual instantons over product manifolds when the bundle is a pullback, generalizing results of Yuanqi Wang. I will begin by describing this theorem. Then, I will explain ongoing work on an adiabatic limit construction to give examples of generalized ASD instantons over non-pullback bundles. The analysis draws on techniques developed by Dostolgu and Salamon and the results are intended to complement our previous work on dimension reduction. Throughout, I will discuss applications of our work to motivating examples from special holonomy.
MC 5417
Tuesday, November 3, 2026 10:00 am - 11:00 am EST (GMT -05:00)

Number Theory Seminar | Jerry Wang | Counting A_4-quartics by discriminant

Jerry Wang (University of Waterloo)

Counting \(A_4\)-quartics by discriminant
An \(A_4\)-quartic is a degree 4 extension of Q whose Galois closure has Galois group \(A_4\). They are the last remaining quartic fields for which we didn't have an asymptotic counting formula. In this joint work with Stanley Xiao, we prove that the the number of \(A_4\)-quartics of discriminant at most \(X\) is \(\kappa_{A_4}X^{1/2}\log X + O_\epsilon(X^{1/2}(\log\log X)^{3+\epsilon})\)) where \(\kappa_{A_4}\) is an explicit constant with an Euler product expansion.
MC 5501
Thursday, November 5, 2026 2:30 pm - 3:30 pm EST (GMT -05:00)

Intro to My Research | Wentang Kuo

Wentang Kuo (University of Waterloo)

Intro to My Research

This is a series of talks by faculty members explaining their research at a level aimed at master's students. All other department members are welcome as well.

MC 5501

Thursday, November 12, 2026 2:30 pm - 3:30 pm EST (GMT -05:00)

Intro to My Research | Ty Ghaswala

Ty Ghaswala (University of Waterloo)

Intro to My Research

This is a series of talks by faculty members explaining their research at a level aimed at master's students. All other department members are welcome as well.

MC 5501

Ergun Yalcin (Bilkent University and University of Waterloo)
Free Actions on Products of Real Projective Spaces
There are many conjectures on restrictions on finite groups that can act freely on a topological space with prescribed homotopy type. The most famous of these conjectures is the rank conjecture, which claims that if an elementary abelian p-group of rank r acts freely on a product of k spheres, then r is less than or equal to k. In 1983, Cusick made a similar conjecture for free actions on products of real projective spaces. We recently solved the homotopy-theoretic version of Cusick’s conjecture. I will explain some of the main ideas used in the proof of this conjecture, after introducing the necessary background.
MC 5417
Thursday, November 19, 2026 2:30 pm - 3:30 pm EST (GMT -05:00)

Intro to My Research | Ruxandra Moraru

Ruxandra Moraru (University of Waterloo)

Intro to My Research

This is a series of talks by faculty members explaining their research at a level aimed at master's students. All other department members are welcome as well.

MC 5501