GT Seminar with Matthew Habermann (Hamburg university)
- Date: 13 October 2022, 13:15–14:15
- Location: Ångström Laboratory, room Å64119 and on zoom https://uu-se.zoom.us/j/68210068219
- Type: Seminar
- Lecturer: Matthew Habermann (Hamburg university)
- Organiser: Matematiska institutionen
- Contact person: Noémie Legout
Welcome to this seminar held by Matthew Habermann (Hamburg university) with title "Homological Berglund--Hübsch--Henningson mirror symmetry for curve singularities".
Abstract: Invertible polynomials are a class of hypersurface singularities which are defined from square matrices with non-negative integer coefficients. Berglund—Hübsch mirror symmetry posits that the polynomials defined by a matrix and its transpose should be mirror as Landau—Ginzburg models, and an extension of this idea due to Berglund and Henningson postulates that this equivalence should respect equivariant structures. In this talk, I will begin by giving some background and context for the problem, and then explain my recent work on proving the conjecture in the first non-trivial dimension; that of curves. The key input, inspired by the derived McKay correspondence, is a model for the orbifold Fukaya—Seidel category in this context.
See upcoming seminars in our seminar series on Geometry and Topology (GT).