Workshop
Registration Deadline:  November 03, 2022 over 1 year ago 

To apply for Funding you must register by:  August 31, 2022 almost 2 years ago 
Parent Program:  

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 inperson participation only available to members of the semesterlong 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 fourdimensional 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
YangMills
moduli spaces
Z/2Z harmonic spinors
14J80  Topology of surfaces (Donaldson polynomials, SeibergWitten invariants)
57R56  Topological quantum field theories (aspects of differential topology)
57R57  Applications of global analysis to structures on manifolds [See also 57K41, 58XX]
58D27  Moduli problems for differential geometric structures
81T13  YangMills 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 



Oct 25, 2022 Tuesday 


Oct 26, 2022 Wednesday 


Oct 27, 2022 Thursday 


Oct 28, 2022 Friday 
