The twistor geometry of a family of Schrödinger equations

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

• Timothy Moy (University of Cambridge)
• Wednesday 04 September 2024, 11:30-12:30
• Seminar Room 2, Newton Institute.

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

TWT - Twistor theory

Joyce structures were introduced by Bridgeland in work relating to Donaldson-Thomas invariants and bear resemblance to Frobenius structures. Inspired by the construction of the A2 Joyce structure, we will use the Bailey-Eastwood characterisation of complex hyper-Kähler metrics to construct Joyce structures on particular moduli spaces of meromorphic quadratic differentials on the Riemann sphere. We will observe that the twistor distribution, which coincides with the span of the isomonodromic flows for a family of 2nd order linear ODE with rational potential, may be obtained as the kernel of a 2-form induced by the intersection forms of an associated family of algebraic curves. Important associated data is simply expressible in terms of periods and intersection products of differential forms that appear in WKB analysis of the equation.   

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 2, Newton Institute
• bld31

Note that ex-directory lists are not shown.