This is the webpage of the student learning seminar on Seiberg-Witten theory. The current version of the website design is stolen from the 2016 Remynar.

For the first 5-6 lectures, we will set up the basics of the Seiberg-Witten theory following Morgan's book [M]. After that we will move on to applications, such as those in [KM_Thom], [KM_P], [GS], and possibly discuss the Floerified 3-manifold theory (with the help of some friendly postdocs).

References:

- [M] Morgan, "The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds"
- [KM_Thom] Kronheimer-Mrowka, "The genus of embedded surfaces"
- [KM_P] Kronheimer-Mrowka, "Witten's Conjecture and Property P"
- [GS] Gompf-Stipcitz, "4-Manifolds and the Kirby Calculus"
- [DK] Donaldson_Kronheimer, "The Geometry of 4-manifolds"
- [Lin] Francesco Lin, "Lectures on monopole Floer homology"

Please e-mail the organizers if you'd like to receive notifications.

**Organizers:** Semon Rezchikov, Tim Large.

**Time and location:** Wed 5-7 Math 622. **We will announce modifications on colloquium days. **

Date | Speaker | Title | Ref. |
---|---|---|---|

13 Sep | Tim Large | Introduction to Gauge theory Invariants | [KM] |

20 Sep | Semon Rechikov | Clifford Algebras and Spin structures | [M] Ch 1-2 |

27 Sep | No Seminar | ||

Oct 4 | Semon Rezchikov | Standard consequences of SW theory for four-manifold topology | Gompf-Stipcitz |

Oct 11 | Fried Tong | Compactness of SW moduli spaces | [M] Ch. 5 |

Oct 18 | Tim Large | Transversality and Smoothness of SW moduli spaces | [M] Ch. 4, 6 |

Oct 25 | No Seminar | ||

Nov 1 | Oleg Lazarev @ 4:30 in 622 | A survey of results on symplectic structures on 4-manifolds | The Space of Symplectic Structures on Closed 4-Manifolds |