Workshop
Registration Deadline: | November 03, 2022 about 2 years ago |
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To apply for Funding you must register by: | August 31, 2022 about 2 years ago |
Parent Program: | |
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Location: | SLMath: Eisenbud Auditorium |
Show List of Speakers
- Mina Aganagic (University of California, Berkeley)
- Pierrick Bousseau (University of Georgia)
- Mathew Bullimore (University of Durham)
- Sergey Cherkis (University of Arizona)
- Sergey Cherkis
- Aleksander Doan (University of Cambridge; University College London)
- Simon Donaldson (Imperial College, London)
- Laura Fredrickson (University of Oregon)
- Sherry Gong (Texas A & M University)
- Saman Habibi Esfahani (Duke University; MSRI / Simons Laufer Mathematical Sciences Institute (SLMath))
- Siqi He (Academy of Mathematics and Systems Science)
- Martijn Kool (Universiteit Utrecht)
- Jan Manschot (Trinity College)
- Tomasz Mrowka (Massachusetts Institute of Technology)
- Ákos Nagy (University of California, Santa Barbara)
- Gregory Parker (Stanford University)
- Pavel Putrov (Abdus Salam International Centre for Theoretical Physics)
- Arnav Tripathy (Harvard University)
- Richard Wentworth (University of Maryland)
- Max Zimet (Stanford University)
This will be a hybrid workshop with in-person participation only available to members of the semester-long program and invited guests. Online participation will be open to all who register. Due to limited capacity, mathematicians who have not received an official invitation will not be permitted to enter the institute.
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.
Bibliography
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
14J80 - Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
57R56 - Topological quantum field theories (aspects of differential topology)
57R57 - Applications of global analysis to structures on manifolds [See also 57K41, 58-XX]
58D27 - Moduli problems for differential geometric structures
81T13 - Yang-Mills and other gauge theories in quantum field theory [See also 53C07, 58E15]
Show Schedule, Notes/Handouts & Videos
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Oct 24, 2022 Monday |
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Oct 25, 2022 Tuesday |
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Oct 26, 2022 Wednesday |
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Oct 27, 2022 Thursday |
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Oct 28, 2022 Friday |
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