# Mathematical Sciences Research Institute

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# Schedule, Notes/Handouts & Videos

## [HYBRID WORKSHOP] New Four-Dimensional Gauge Theories October 24, 2022 - October 28, 2022

Oct 24, 2022
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Overview of Some Appearances of Multivalued Solutions in Differential Geometry Simon Donaldson (State University of New York, Stony Brook) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM K3 Surfaces as Gauge-Theoretic Moduli Spaces Max Zimet (Stanford University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Vafa-Witten Invariants of Projective Surfaces - Overview Martijn Kool (Universiteit Utrecht) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Holomorphic Floer Theory and Donaldson-Thomas Invariants Pierrick Bousseau (University of Georgia) 04:30 PM - 06:20 PM Reception
Oct 25, 2022
Tuesday
 09:30 AM - 10:30 AM All Gravitational Instantons from Monopole Moduli Spaces Sergey Cherkis 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Homological Link Invariants from Mirror Symmetry Mina Aganagic (University of California, Berkeley) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Existence and Non-Existence Results of Z2 Harmonic 1-Forms Siqi He (Academy of Mathematics and Systems Science) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Holomorphic Floer Theory and the Fueter Equation Aleksander Doan (University of Cambridge; University College London)
Oct 26, 2022
Wednesday
 09:30 AM - 10:30 AM Computations of Instanton Knot Floer Homology with Local Coefficients Tomasz Mrowka (Massachusetts Institute of Technology) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Concentrating Local Solutions of the Two-Spinor Seiberg-Witten Equations Gregory Parker (Stanford University) 12:00 PM - 02:00 PM Lunch
Oct 27, 2022
Thursday
 09:30 AM - 10:30 AM Disconnected Gauge Groups and Categorical Symmetry Mathew Bullimore (University of Durham) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Hyperkahler Metrics Near Semi-Flat Limits Laura Fredrickson (University of Oregon) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Counting Solutions of Kapustin-Witten Equations on a Three-Manifold Times a Line from Physics Dualities Pavel Putrov (Abdus Salam International Centre for Theoretical Physics) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM On the Geometry of $G_2$-Monopoles and the Donaldson--Segal Program Ákos Nagy (University of California, Santa Barbara)
Oct 28, 2022
Friday
 09:30 AM - 10:30 AM Hyperkahler Mirror Symmetry Arnav Tripathy (Harvard University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Path Integral Derivations of Vafa-Witten and K-Theoretic Donaldson Invariants Jan Manschot (Trinity College) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Some Remarks on Yang–Mills Type Equations in Higher Dimensions Richard Wentworth (University of Maryland) 03:00 PM - 03:30 PM Afternoon Tea 03:30 PM - 04:30 PM Towards a Monopole Fueter Floer Homology Saman Habibi Esfahani (Duke University; MSRI / Simons Laufer Mathematical Sciences Institute (SLMath))