Laurent Demonet

**Professional address :** Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, 464-8602 Japan.

**Office :** A-329.

**E-Mail :**
.

This web page concerns my courses seminar A, Complex analysis and Cluster algebras (winter 2013).

**Reference book:** *Basic Complex Analysis*, 3rd edition. Jerrold E. Marsden and Michael J. Hoffman. W. H. Freeman.

Exercises | To hand in | Quiz | Quiz solutions | Other |

p. 9 and 10, exercises 1 to 8 | 2013/10/14 | Quiz 1 | Solutions | |

p. 22 and 23, exercises 1, 2, 5, 7, 8, 11, 12, 15 | 2013/10/21 | Quiz 2 | Solutions | |

p. 22 and 23, exercises 3, 14 ; p. 38 and 39, exercises 1, 2, 9, 10, 15 | 2013/10/28 | Quiz 3 | Solutions | |

p. 38 and 40, exercises 5, 18, 19 ; p. 57 and 58, exercises 1, 3, 7, 8, 9, 13 | 2013/11/02 | Quiz 4 | Solutions | |

p. 77, 78 and 79, exercises 1, 2, 3, 4, 9, 10, 15 | 2013/11/11 | Quiz 5 | Solutions | Midterm exam 2012 - Solutions |

Mid-term exam | Mid-term exam - solutions | |||

p. 89 and 90, exercises 1, 2, 3, 4, 5, 7, 8, 9 | 2013/11/25 | Quiz 6 | Solutions | |

p. 109 and 110, exercises 1, 2, 3, 4, 5, 6, 7 | 2013/12/02 | Quiz 7 | Solutions | |

p. 111, exercises 13, 14 ; p. 122, exercises 1, 3, 5 | 2013/12/09 | Quiz 8 | Solutions | |

p. 122 and 123, exercises 7, 9 ; p. 142 and 143, exercises 1, 7 | 2013/12/16 | Quiz 9 | Solutions | |

p. 161, exercises 1, 2, 4, 5 | 2014/01/09 | Quiz 10 | Solutions | Homework (10 % bonus) - Solutions |

p. 162, exercises 6, 7, 9, 20 | 2014/01/20 | Quiz 11 | Solutions | |

p. 179, exercises 1, 3, 5, 7, 19 (download) | 2014/01/27 | Quiz 12 | Solutions | |

Final Exam: 2014/02/03, Period 2, room C23 of Liberal art building | Review exercises | |||

Final Exam - Solutions |

Two videos about complex numbers:

These videos are part of the film *Dimensions by Jos Leys - Étienne Ghys - Aurélien Alvarez*. You can watch the complete film on http://www.dimensions-math.org/. Note that titles are in French, but speeches are in English (or in other languages if you go to the website).

(click on at the bottom of the videos to activate change subtitles)

**Talks: **

Date | Talk 1 | Talk 2 |

2013/10/09 | Jonathan | Reina |

2013/10/16 | Young | Jemmy |

2013/10/23 | Emre | Jayden |

2013/10/30 | Masataku | Teerthal |

2013/11/06 | Junichi | Adwin |

2013/11/13 | Cendikia | Kazuki |

2013/11/20 | Reina | Adwin |

2013/11/27 | Jonathan | Young |

2013/12/04 | Jemmy | Masataku |

2013/12/11 | Jayden | Emre |

2013/12/18 | Junichi | Cendikia |

2014/01/15 | Teerthal | Kazuki |

**Grading:** The grade is based on homeworks.

**References:**

**Cluster algebras: Notes for the CDM-03 conference.**Sergey Fomin, Andrei Zelevinsky**Total positivity and cluster algebras.**Sergey Fomin**Cluster algebras: an introduction.**Lauren K. Williams**Cluster algebras I: Foundations.**Sergey Fomin, Andrei Zelevinsky**Cluster algebras II: Finite type classification.**Sergey Fomin, Andrei Zelevinsky**Cluster algebras III: Upper bounds and double Bruhat cells.**Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky**Cluster algebras IV: Coefficients.**Sergey Fomin, Andrei Zelevinsky

**More references** available from the Cluster Algebra Portal of Sergey Fomin.