Göttingen, March 1 - March 4, 2018
Gauge theory and Geometry in Göttingen
Very recently a relation between special Kähler manifolds and hyperKähler manifolds equipped with the structure of a holomorphic Lagrangian fibration became an object of intense studies both in physics and mathematics. A well-known example comes from gauge theory: The Hitchin moduli space is equipped with a natural hyperKähler metric, which admits the structure of a holomorphic Lagrangian fibration.
The main goal of this mini-workshop is to gather experts in the field to share their knowledge and to discuss open problems. Particular focus will be on interactions between geometry, analysis, and physics.
|09:30-10:30||Mazzeo II||Neitzke III||Beck|
|13:30-14:30||Neitzke II||Mazzeo III|
|Roger Bielawski||Moduli spaces of Nahm-Schmid equations|
|Florian Beck||tt*-geometry and (parabolic) Higgs bundles|
|Martin Callies||Isolated singularities of special Kähler structures in dimension two|
|Vicente Cortes||Quaternionic Kähler manifolds of co-homogeneity one|
|Rafe Mazzeo||I: Geometry of the Hitchin moduli space
II: The Kapustin-Witten equations
III: The Extended Bogomolny equations
|Andy Neitzke||A twistorial description of hyperkahler metrics on integrable systems|
|Andrew Swann||Special geometry, the c-map and twists|