Events by month

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"Fourier Transforms in Algebraic Geometry"

The Fourier transform is a powerful tool in real analysis and differential equations for understanding families of functions. In this talk, we will discuss how the philosophy of the Fourier transform can be applied in algebraic geometry to relate families of vector bundles on varieties which are so-called “Fourier-Mukai pairs”. As an example, we will look at the Fourier-Mukai pairing between an abelian variety and its Picard group.

Amanda Garcia and Burcu Tuncer Karabina, Faculty of Mathematics, University of Waterloo

"An analysis of student behaviour and use of Mobius in Calculus 3"

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

"Riemannian submersions and the O’Neill tensors (Part I)"

Srivatsav Kunnawalkam Elayavalli, Vanderbilt University

"Strong 1-boundedness and Property T"

In recent joint work with B. Hayes and D. Jekel, we showed that Property T II_1 factors are strongly 1-bounded in the sense of Jung. In this talk, I will describe the historical context of this problem, and the solution. 

This seminar will be held jointly online and in person. 

Ákos Nagy, University of California Santa Barbara

"Novel solutions in Ginzburg–Landau theory"

Elisabeth Werner, Case Western Reserve University

"Blaschke-Santalo inequality for many functions and geodesic barycenters of measures"

Motivated by the geodesic barycenter problem from optimal transportation theory, we prove a natural generalization of the Blaschke-Santalo inequality and the affine isoperimetric inequalities for many sets and many functions.

Based on joint work with A. Kolesnikov.

This seminar will be held jointly online and in person. 

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"An Introduction to Orbifolds"

It is well-known that the orbit space of a group action on a manifold is generally not a manifold. However, such quotients appear frequently in physics and geometry and possess certain characteristics that make them interesting objects to study. In this talk, we introduce a subclass of these spaces, called orbifolds, and consider different examples coming from both geometry and physics.

Zoom meeting:

Patrick Walls, University of British Columbia

"Python and Jupyter for Teaching and Learning"

Jupyter notebook is an open source web application for creating documents which include text, code, data, equations and graphics. We will take a tour of the Jupyter ecosystem including JupyterHub for hosting computational environments, nbgitpuller for sharing notebooks, nbgrader for autograding assignments and Python packages for mathematical computing.

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Generalized superminimal surfaces and holomorphic representation (Part 2)"

I will continue from where we left off last time. We have related conformal minimal immersions of a domain in the complex plane into R^n to harmonic maps, and packaged them in terms of holomorphic data. We have also discussed complex maps and superminimal maps as special cases. This time we will fit these special cases into a hierarchy using complex analysis.

Konstantin Tikhomirov, Georgia Institute of Technology

"Shotgun assembly of Erdos-Renyi graphs"

We show that in the regime p>n^{-1/2} polylog(n), the unlabeled G(n,p) random graph can be uniquely reconstructed from its 1-neighborhoods with probability close to one, answering a question of Gaudio and Mossel. Based on joint work with Han Huang.

This seminar will be held jointly online and in person. 

Robert Cornea, Department of Pure Mathematics, University of Waterloo

"Compactification of the Moduli of Twisted Higgs Bundles over P^1"

Daren Cheng, Department of Pure Mathematics, University of Waterloo

"Incompressible minimal surfaces and topological consequences of positive scalar curvature"

Artur Płaneta, Agricultural University of Krakow

"Conjugations in L2 spaces on the unit circle and the real line"

One of the axioms of standard quantum theory requires that the Hamiltonian H, which is the operator that expresses the dynamics of the quantum system, be Hermitian. However, this requirement is mathematical rather than physical in character. One possibility to replace this requirement is to consider the conjugation PT and PT symmetries.

Joaco Prandi, Department of Pure Mathematics, University of Waterloo

"Julia Sets"

In this talk, we will introduce the concept of Julia sets and some of the basic properties and their connections to the Mandelbrot set. We will introduce the concept of self-similarity and quasi-self-similarity, and we will give some interesting results. The talk will be closed with some of the open questions related to the study of Julia sets.

This seminar will be held jointly online and in person:

Jakob Stein, University College London

"Calabi-Yau monopoles and HYM connections on asymptotically conical Calabi-Yau Threefolds"

This seminar will be held jointly online and in person: