BIGWIII is the third edition of the annual summer workshop on themes in geometry. The previous two conferences studied "Higgs Bundles" (BIGWI) and "Singularities and Symplectic Topology" (BIGWII). The theme of this workshop will be "Gauge Theory with a View to Higher Dimensions". The workshop will be held in Jersey from June 9th to June 15th, 2019.
The goal is to bring together a group of approximately 25 graduate students to work on a specific topic under the guidance of three senior mathematicians. The majority of the talks will be given by the participants, and there will be time in the afternoons and evenings for further discussions and more informal sessions. The character of the workshop is expository in nature, starting with the basic ideas and leading to a survey of the most recent developments in the field; no prior knowledge of the topic will be assumed. Since both the participants and the mentors will be living in the same building, we hope to create an informal, yet mathematically intensive, atmosphere.
The topic for the workshop was gauge theory in higher dimensions. The workshop will be mentored by Derek Harland (Leeds University), Andriy Haydys (Freiburg University) and Yuuji Tanaka (Oxford University). We studied generalisations of classical gauge theory to new higher dimensional settings such as nearly Kähler 6-manifolds, G2 manifolds and Spin(7) manifolds. The following articles give an idea of the direction:
Benoit Charbonneau and Derek Harland - Deformations of nearly Kähler instantons, arXiv
Andriy Haydys - G2 instantons and the Seiberg-Witten monopoles, arXiv
Yuuji Tanaka - A construction of Spin(7)-instantons, arXiv
The schedule for the conference can be found below:
Notes for talks will be uploaded in the next few weeks.
Andries Salm Andriy Haydys Benjamin Aslan Ceren Ayse Deral Christoff Krüger Christopher Evans Corvin Paul Daniel Platt Derek Harland Federico Zadra Gregory Parker Holly Mandel Jacob Gross Jaime Mendizabal Jakob Stein Jin Li Joe Driscoll Luya Wang Mateo Galdeano Solans Matt Turner Panagiotis Angelinos Ragini Singhal Shubham Dwivedi Udhav Fowdar Vasileios Papoulias Yang Li Yikun Qiao Yuan Yao Yuuji Tanaka
The organisers would like to thank all participants for making the workshop such an enjoyable experience.
Benjamin Aslan, University College London
Christopher Evans, University College London
Daniel Platt, Imperial College London
Angela Wu, University College London
For questions or suggestions, please send an email to the organisers at firstname.lastname@example.org.