• Seminar Meetings: 12:30-2 in 939 Evans
• Course Control Number: TBA
• Mailing List: gaugetheoryseminar@lists.berkeley.edu

• The Seiberg-Witten Equations And Applications To The Topology Of 4-Manifolds by J. Morgan
• Lecture Notes on Seiberg-Witten Invariants by J. Moore
• Spin Geometry And Seiberg-Witten Invariants by D. Salamon

The subject of this seminar will be gauge theory and its applications. We will spend the first part of the seminar learning the basics objects of study in gauge theory and defining the Seiberg-Witten invariants. We will then read papers on classic results and current developments in the gauge theory. These will hopefully include:

• The Genus Of Embedded Surfaces In The Projective Plane by P.B. Kronheimer And T.S. Mrowka
• A Stable Cohomotopy Refinement of Seiberg-Witten Invariants I/II by S. Bauer And M. Furuta
• Seiberg-Witten-Floer Stable Homotopy Type of 3-Manifolds With b1 = 0 by C. Manolescu
• Pin(2)-Equivariant Seiberg-Witten Floer Homology And The Triangulation Conjecture by C. Manolescu

• Please email Julian if you are interested in giving a talk
• Fr 9.8: [Julian C.] introduction: formal properties of seiberg-witten theory and some applications
• Fr 9.15: [Calvin M-S.] principal bundles, gauge groups, associated bundles: definitions and examples
• Fr 9.22: [Julian C.] connections/gauge fields, curvature, chern-weil theory
• Fr 9.29: [Maxim J.] spin representations, spin structures
• Fr 10.6: [Maxim J.] spinors, dirac operators
• Fr 10.13: [Julian C.] defining the seiberg-witten invariants
• Fr 10.20: [Daniel C.] compactness, orientations
• Fr 10.27: [?]
• Fr 11.3: [?]
• Fr 11.10: [?]
• Fr 11.17: [?]
• Fr 11.24: [?]
• Fr 12.1: [?]
• Fr 12.8: [?]