# Math 648: Tropical geometry

This course will be an introduction to tropical geometry. Our textbook will be the in prepration draft of Introduction to Tropical Geometry by Diane Maclagan and Bernd Sturmfels, which is freely available here. Coursework will consist of bi-weekly homeworks together with final projects in the last third of the semester.
For details, see the course syllabus.

## Course times

- Lectures: TTh 2:30-3:45
- Classroom: LOM 200
- Office hours: see below for scheduled office hours
- Office: 219B LOM

## Announcements

- May 1: Office hours 10-11am.
- Apr. 30: Office hours 2-4pm.
- Apr. 29: Office hours 10-11am, 1-2pm
- Apr. 28: No office hours
- Apr. 15: Make-up office hours 10-12am, 1-2pm.
- Apr. 14: No office hours.
- Mar. 31-Apr. 3: No office hours or class.
- Mar. 24: No office hours.
- Feb. 18: Office hours canceled.
- Jan. 13: Class will not meet during the first week of the semester. The
first meeting will be on January 21.

## Homeworks

Homework is due every other Tuesday and the assignments will be posted
here.

- Problem set 1, due Feb. 11, 2014, last updated Feb. 9, 2014.
- Problem set 2, due Feb. 25, 2014.
- Problem set 3, due Mar. 25, 2014 (extended of original due date of Mar. 6).
- Problem set 4, due April 8, 2014.

## Schedule

The approximate schedule for future classes is as follows. All reading
assignments are from Introduction to Tropical Geometry.

Date | Reading | Topics |

Jan. 21 | 1.1,1.3 | tropical curves |

Jan. 23 | 2.3 | polyhedral geometry |

Jan. 28 | 2.1,2.2 | valued fields, algebraic varieties |

Jan. 30 | 2.4 | Gröbner bases |

Feb. 4 | 2.4 | Gröbner bases, cont. |

Feb. 6 | 2.5 | Gröbner complexes |

Feb. 11 | 2.6 | tropical bases |

Feb. 13 | 3.2 | fundamental theorem |

Feb. 18 | 3.3 | Bieri-Groves |

Feb. 20 | 3.4 | multiplicities |

Feb. 25 | 3.4 | balancing |

Feb. 27 | 3.5 | connectivity |

Mar. 4 | 4.1 | hyperplane arrangements |

Mar. 6 | 4.1 | fine subdivision |

Mar. 25 | 4.2 | matroids |

Mar. 27 | 4.2 | matroids |

Apr. 8 | 4.3 | Grassmannians |

Apr. 10 | 4.3,3.6 | Grassmannians, stable intersection |

Apr. 15 | 4.6 | mixed volumes |

Apr. 17 | | lifting problems |

Apr. 22 | | smooth surfaces |

Apr. 24 | | presentations: Daping, Dylan, Vesslin |

Apr. 29 | | presentations: Tiff, Yoav, Dhruv |

May 1 | | presentations: Dan, Rodrigo, Shaked |