Leandro Lichtenfelz, University of Pennsylvania
"Smooth Fibrations of the 3-Sphere by Simple Closed Curves"
Ragini Singhal, Department of Pure Mathematics, University of Waterloo
"Six dimensional nearly Kähler manifolds of Cohomogeneity one"
We will discuss a paper by Podesta-Spiro where the authors consider six-dimensional strict nearly Kähler manifolds acted on by a compact, cohomogeneity one automorphism group G. We will see how they classify the compact manifolds of this class up to G-diffeomorphisms.
Shay Fuchs, University of Toronto Mississauga
"A Fun, Engaging, and Effective Approach to Teaching Calculus"
Siqi He, Simons Center, Stony Brook
"The compactness problem for the Hitchin-Simpson equations"
The Hitchin-Simpson equations defined over a Kähler manifold are first order, non-linear equations for a pair of a connection on a Hermitian vector bundle and a 1-form with values in the endomorphism bundle. We will describe the behavior of solutions to the Hitchin–Simpson equations with norms of these 1-forms unbounded. We will also discuss the deformation problem of Taubes' Z2 harmonic 1-form.
Andrew Granville, Université de Montréal
"The Frobenius postage stamp problem and boundary turbulence"
Christopher Lang, Department of Pure Mathematics, University of Waterloo
"The Many Faces of Monopoles"
In this talk, we introduce the four ways of looking at monopoles: solutions of the Bogomolny equations, Nahm data, spectral curves, and rational maps. We then discuss the relationships between these equivalent descriptions and some of the advantages and disadvantages of using them.
Boyu Zhang, Princeton University
"Several detection results of Khovanov homology on links"
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"Variational characterization of instanton-submanifolds"
Arundhathi Krishnan, Pure Mathematics, University of Waterloo
Anton Iliashenko, Department of Pure Mathematics, University of Waterloo
"Harmonic Mappings"