G3-Mini-Workshop:
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.

Schedule

01.03
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

Talks

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
Abstracts.

Venue

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.

Registration

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.

Organization

Mark Haskins, Andriy Haydys, and Victor Pidstrygach

Sponsors

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