Gauge theory and Geometry in Göttingen

Göttingen, March 1 - March 4, 2018

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.


13:00-14:00 Swann
14:00-14:30 Tea/Coffe
14:30-15:30 Neitzke I
16:00-17:00 Mazzeo I

02.03 03.03 04.03
09:30-10:30 Mazzeo II Neitzke III Beck
10:30-11:00 Tea/Coffe Tea/Coffe Tea/Coffe
11:00-12:00 Cortes Bielawski Neitzke IV
13:30-14:30 Neitzke II Mazzeo III
14:30-15:00 Tea/Coffe Tea/Coffe
15:00-16:00 Callies Mazzeo IV


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


All talks take place at 'Sitzungszimmer' of the Institute of Mathematics, Bunsenstrasse 3-5, 37073 Göttingen. From the train station the Institute can be reached by a 15-20 Min walk.


There is no formal registration. However, please send a short message to andriy.haydys (@) math.uni-freiburg.de if you intend to participate so that we can estimate the number of participants.


Mark Haskins, Andriy Haydys, and Victor Pidstrygach


This mini-workshop is supported by the Simons Collaboration on Special Holonomy and RTG 1493 Mathematical Structures in Modern Quantum Physics.