Informal seminar: Surfaces in four-manifolds and the lightbulb theorem

**Organizers: ** Kyle Hayden, Siddhi Krishna, and Patrick Orson

** Time and location: ** Th 11:00-12:00, Maloney 560

** Description: ** There is a Google doc with a big list of possible topics located here.

Date | Speaker | Title |
---|---|---|

Sept 14 | Patrick Orson | Introduction |

Sept 21 | Patrick Orson | Gropes |

Sept 28 | Clayton McDonald | Diagrams for surfaces and knotted spheres |

Oct 5 | Melissa Zhang | Branched covers of surfaces in 4-manifolds (Akbulut-Kirby) |

Oct 12 | Kyle Hayden | Branched covers of surfaces in 4-manifolds, round 2 |

Oct 19 | Kyle Hayden | Distinguishing surfaces using π_{1} and intersection forms |

Oct 26 - Nov 9 | No seminar | Hiatus for Baris Coskunzer's minicourse on minimal surfaces in 3-manifolds. |

Nov 16 | Patrick Orson | The light bulb theorem, I |

Nov 23 | No seminar | Happy Thanksgiving! |

Nov 30 | Clayton McDonald | The light bulb theorem, II |

Dec 7 | Clayton McDonald | The light bulb theorem, III |

*Bonus: Dec 7 | *Hannah Schwartz (Bryn Mawr) | *Speaker for G/T seminar |

Dec 14 | Siddhi Krishna | Band connect sums |

**Some references (that will be updated/organized as we move forward):**

- The 4-Dimensional Light Bulb Theorem, Dave Gabai
- The 4-Dimensional Light Bulb Theorem (after David Gabai), Bob Edwards
- 4-Manifolds and Kirby Calculus, Robert Gompf and AndrĂ¡s Stipsicz
- Surfaces in 4-Space, Scott Carter, Seiichi Kamada, and Masahico Saito
- What is... a Grope?, Peter Teicher
- Branched Covers of Surfaces in 4-Manifolds, Selman Akbulut and Robion Kirby
- Surfaces in
*D*^{4}with the same boundary and fundamental group, Takahiro Oba - Genus is superadditive under band connect sum, Dave Gabai
- Property P for the Band Connect Sum of two knots, Abigail Thompson
- Band-Sums are Ribbon Concordant to the Connect Sum, Katura Miyazaki
- Smooth spheres in
**R**^{4}with four critical points are standard, Martin Scharlemann