# Number Theory II - Summer term 2016

**Time and place:** Tuesdays, 14-18** **in Arnimallee 3 SR 119/A3** (Note that time and place are changed)**

**Exercises:** Fridays, 10-12 in Arnimallee 6 SR 009/A6.

**First lecture: April 19**

**First exercise class:** **April 29 (no exercise class on Apr. 22)**

**Main topics of the course: **number fields, ring of integers, class groups, Dirichlet unit theorem, if time permits also local fields.

**Literature:**

- Milne, James: Algebraic Number Theory (available here)
- Neukirch, Jürgen: Algebraische Zahlentheorie, Springer Verlag (English translation also available)

**Prerequisites:** Linear Algebra I+II, Algebra and Number Theory I.

**Exam: July 11, 8:00 (sharp!) -10:00 Uhr, Arnimallee 6 SR 031/A6 **

**Rescue exam: October 17, 8:00 (sharp!) -10:00 Uhr, Arnimallee SR 032/A6. (Note that the room is changed)**

**Rules for the exam:**

- Everybody is free to do the exam in July or in October or both. In case a student passes the exam in July and tries again the exam in October
**the July grade will be erased and only the October grade will remain.**

- You may bring
**two**sheets of paper (DIN A4), each written**by yourself and by hand**with writing on both sides

**Problem sets:**

Problem sets | Due |
---|---|

Problem set 1 | April 29 |

Problem set 2 | May 6 |

Problem set 3 (new version) | May 13 |

Problem set 4 (new version) | May 20 |

Problem set 5 (new version) | May 27 |

Problem set 6 | June 3 |

Problem set 7 | June 10 |

Problem set 8 (new version) | June 17 |

Problem set 9 | June 24 |

Problem set 10 | July 1 |

Problem set 11 | July 8 |

**Remark on the lecture on May31st: pdf**