The Painlevé I equation and the A2 quiver

Davide Masoero (GFMUL, Lisbon)

23-Oct-2020, 13:15-14:15 (3 years ago)

Abstract: We study a second-order linear differential equation known as the deformed cubic oscillator, whose isomonodromic deformations are controlled by the first Painlevé equation. We use the generalised monodromy map for this equation to give solutions to the Bridgeland's Riemann-Hilbert problem arising from the Donaldson-Thomas theory of the A2 quiver.

The talk is partially based on a work in collaboration with Tom Bridgeland (https://arxiv.org/abs/2006.10648)

mathematical physicsalgebraic geometryalgebraic topologydifferential geometryrepresentation theorysymplectic geometry

Audience: researchers in the topic

( paper )

Comments: More information and sponsors: cmafcio.campus.ciencias.ulisboa.pt/node/170


Geometry and Physics @ Lisbon

Organizer: Carlos Florentino*
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