Vasileos (Hector) Papoulias, Oxford University
"Spin(7) Instantons and HYM Connections on Asymptotically Conical Calabi-Yau Fourfolds"
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:
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.
Daren Cheng, Department of Pure Mathematics, University of Waterloo
"Incompressible minimal surfaces and topological consequences of positive scalar curvature"
Robert Cornea, Department of Pure Mathematics, University of Waterloo
"Compactification of the Moduli of Twisted Higgs Bundles over P^1"
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.
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.
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:
Ákos Nagy, University of California Santa Barbara
"Novel solutions in Ginzburg–Landau theory"