Workshop
Registration Deadline: | October 28, 2022 5 months from now |
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To apply for Funding you must register by: | July 24, 2022 2 months from now |
Parent Program: | |
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Location: | MSRI: Simons Auditorium |
Show List of Speakers
- Sergey Cherkis (University of Arizona)
- Saman Habibi Esfahani (Stony Brook University)
- Gregory Parker (Stanford University)

Image drawn by Dr. Lotte Hollands
This workshop will bring together researchers working on new four-dimensional gauge theories from the perspectives of differential geometry, algebraic geometry, and physics. Over the last 25 years, physicists have made tantalizing conjectures relating the Vafa–Witten equation to modular forms and the Kapustin–Witten and Haydys–Witten equations to knot theory and the geometric Langlands programme. The analytical challenges in the way of establishing these predictions are now being pursued vigorously. More recently, algebraic geometers have had enormous success in confirming and refining Vafa–Witten's predictions for projective surfaces. The workshop will serve as a platform for reporting on recent progress and exchanging ideas in all of these areas, with the aim of strengthening existing and fostering new interactions.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
gauge theory
Vafa–Witten
Kapustin–Witten
Haydys–Witten
Khovanov homology
geometric Langlands
geometric PDEs
Yang-Mills
moduli spaces
Z/2Z harmonic spinors
58D27 - Moduli problems for differential geometric structures
14J80 - Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
81T13 - Yang-Mills and other gauge theories [See also 53C07, 58E15]