Eric Boulter, Department of Pure Mathematics, University of Waterloo
Nikon Kurnosov, University College London
Josh Cork, Leibniz University Hannover
Maxence Mayrand, University of Toronto
Daniel Stern, University of Chicago
Leandro Lichtenfelz, University of Pennsylvania
Siqi He, Simons Center, Stony Brook
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.
Zoom meeting: https://zoom.us/j/93859138328
Boyu Zhang, Princeton University
Oğuz Şavk, Bogaziçi University
A central problem in low-dimensional topology asks which homology 3-spheres bound contractible 4-manifolds and homology 4-balls. In this talk, we address this problem for plumbed 3-manifolds and we present the classical and new results together. Our approach is based on Mazur’s famous argument which provides a unification of all results in a fairly simple way.
Zoom meeting: https://zoom.us/j/93859138328
Ákos Nagy, University of California Santa Barbara