Events

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:

Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo

"Higgs Bundles"

Last week, Robert introduced the notion of Higgs bundle over Riemann surfaces. In this talk, I will provide some background on Higgs bundles and explain how they are related to the Yang-Mills equations and the cotangent bundle of the moduli space of stable bundles. I will also discuss how Higgs bundles can be generalized to higher-dimensional complex manifolds.

Zoom meeting:

Kseniya Garaschuk, University of the Fraser Valley

"Injecting life into real-life applications"

Anton Ilianshenko, Department of Pure Mathematics, University of Waterloo

"Riemannian Submersions, Part II"

Robert Martin, University of Manitoba

"Non-commutative rational multipliers of the Fock space"

Vasileos (Hector) Papoulias, Oxford University

"Spin(7) Instantons and HYM Connections on Asymptotically Conical Calabi-Yau Fourfolds"

Alexi Block Gorman, Fields Institute

"Fractal Dimensions and Definability from Büchi Automata"

Brady Ali Medina, University of Waterloo

"Rank-2 odd degree moduli spaces of co-Higgs bundles"

Jean-Pierre Bourguignon, President, European Research Council

"What is a spinor?"