Open mirror symmetry for Landau-Ginzburg models

Add to your list(s) Download to your calendar using vCal

• Tyler Kelly (University of Birmingham)
• Tuesday 19 July 2022, 10:00-11:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

KA2W03 - Mathematical physics: algebraic cycles, strings and amplitudes

In mirror symmetry, we aim to build a relationship between the enumerative geometry of a symplectic manifold and period integrals on its mirror manifold. This relationship has been extended in the past 15 years to Landau-Ginzburg models. Roughly, a Landau-Ginzburg (LG) model is a triplet of data (X, G, W) where X is a quasi-affine variety, G is a group acting on X and W is a G-invariant complex-valued algebraic function from X to the complex numbers. Mirror symmetry relates the enumerative geometry of an LG model (so-called Fan-Jarvis-Ruan-Witten theory) to a system of oscillatory integrals on the mirror that serve as period integrals (so-called Saito-Givental theory). Recently, there has been progress in constructing open invariants on both sides of the mirror symmetry correspondence in these cases. We how this works for Fermat polynomials based on work with Mark Gross and Ran Tessler, with an emphasis on the period-style computations as they are more in line with the theme of the workshop.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.