# Graduate Student Algebraic Topology Seminar, Fall 2013

## Meeting time and location

The seminar will meet in Hill 423, Thursdays 3:45–5:00.

We gratefully thank the Math GSO and the Rutgers GSA for providing dinner at this seminar.

Information about this seminar is also listed on the math department's seminar page.

## Schedule

Date | Speaker | Title of Talk |

9/5 | Glen Wilson | Organizational Meeting |

9/12 | Knight Fu | Model categories, Part 1 |

9/19 | Knight Fu | Model categories, Part 2 |

9/26 | Glen Wilson | Spectra, Brown representability, homology, and cohomology |

10/3 | Glen Wilson | Spectra, Brown representability, homology, and cohomology |

10/10 | Jonathan Jaquette | Principal bundles, classifying spaces |

10/17 | Jonathan Jaquette | Characteristic classes |

10/24 | Ed Chien | Khovanov cohomology |

10/31 | Ed Chien | Khovanov cohomology |

11/7 | Doug Schultz | Gauge theory |

11/14 | Justin Bush | Conley theory |

11/21 | Justin Bush | Conley theory continued |

11/21 | Glen Wilson | Cobordism theories |

## Resources

Spectra, generalised homology and cohomology, general reference

- Adams,
*Stable Homotopy and Generalised Homology. *
- Adams,
*Algebraic Topology—A Student's Guide.*
- Brown,
* Cohomology Theories.*
- Hatcher,
* Spectral Sequences in Algebraic Topology.*
- Hovey, Shipley, Smith
*Symmetric Spectra.*
- Hovey; Palmieri; Strickland,
* Axiomatic stable homotopy theory.*
- Switzer,
*Algebraic Topology--Homology and Homotopy.*

Model categories

- Hess,
* Model Categories in Algebraic Topology. *
- Hovey,
*Model categories. *
- Quillen,
*Homotopical Algebra.*
- May,
* More concise algebraic topology.*
- Freyd, P.
* Homotopy is not concrete.*

Characteristic classes, cobordism theory

- Bott; Tu,
*Differential Forms in Algebraic Topology.*
- Milnor; Stasheff,
*Characteristic Classes.*
- Milnor,
* Construction of Universal Bundles, II*
- Mitchell, Stephen,
* Notes on principal bundles and classifying spaces.*
- Ravenel,
*Complex Cobordism and Stable Homotopy Groups of Spheres.*
- Stong,
*Notes on Cobordism Theory.*

Simplicial algebraic topology and general reference

- Weibel,
*Homological Algebra.*
- May,
*Simplicial objects in algebraic topology.*

Khovanov homology

- Bar-Natan,
*Khovanov's homology for tangles and cobordisms*