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Yash Totani, Department of Pure Mathematics, University of Waterloo

"A function field analogue of Landau's theorem"

A famous theorem of Landau classifies the numbers which can be written as the sum of two squares and provides the asymptotic density of such numbers in the set of integers. In this talk, we will be looking at a function field analogue due to Soroker, Smilansky and Wolf.

This seminar will be held jointly online and in person:

Xinyue (Cynthia) Xie & Layth Al-Hellawi, Department of Pure Mathematics, University of Waterloo

"Effectiveness properties of the Walker's Cancellation Theorem - Part II"

Jenna Rajchgot, McMaster University

"Symmetric quivers and symmetric varieties"

Sung Gi Park, Harvard University

"Kodaira dimension and hyperbolicity for smooth families of varieties"

Patrick Speissegger, McMaster University

"The real Gamma and Zeta functions are jointly o-minimal"

Changho Han, Department of Pure Mathematics, University of Waterloo

"Divisors and line bundles on horospherical varieties II"

Xinyue (Cynthia) Xie & Layth Al-Hellawi, Department of Pure Mathematics, University of Waterloo

"Effectiveness Properties of Walker's Cancellation Theorem - Part I"

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"An Introduction to Gromov-Witten Invariants and Quantum Cohomology"

Barbara Csima, Department of Pure Mathematics, University of Waterloo

"Degrees of Categoricity"

A degree of categoricity is a Turing degree that exactly captures the complexity of computing isomorphisms between computable copies of some computable structure. In this talk I will start by giving some easy examples of degrees of categoricity. I will then give a review of what is known about degrees of categoricity, culminating in new results (joint work with Dino Rossegger).

Christopher Lang, Department of Pure Mathematics, University of Waterloo

"Hyperbolic Monopoles with Continuous Symmetries"

We examine hyperbolic monopoles with continuous symmetries and develop a structure theorem which generates spherically symmetric hyperbolic monopoles. To do this, we modify the steps laid out in a collaborative paper of mine wherein we proved a similar structure theorem for Euclidean monopoles. We discuss how these steps may be applied to other gauge theoretic objects.