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Mathematical Sciences Research Institute

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Workshop

New four-dimensional gauge theories October 24, 2022 - October 28, 2022
Registration Deadline: October 28, 2022 over 1 year from now
To apply for Funding you must register by: July 24, 2022 over 1 year from now
Parent Program:
Location: MSRI: Simons Auditorium
Organizers Andriy Haydys (Albert-Ludwigs-Universität Freiburg), Lotte Hollands (Heriot-Watt University, Riccarton Campus), LEAD Eleny-Nicoleta Ionel (Stanford University), Richard Thomas (Imperial College, London), Thomas Walpuski (Humboldt-Universität)
Description
Msri pic crop
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.