During classes I will also assign problems for you to consider. Some of these will be straightforward computations, some will require some thought and some might be research questions.

Lecture | Date | Topic |

1 | 01/07 | Examples |

2 | 01/09 | Total positivity |

3 | 01/16 | Grassmanians |

4 | 01/21 | Matrix mutations |

5 | 01/23 | Cluster algebras of geometric type |

6 | 01/26 | Exampled revised |

7 | 01/28 | Cluster algebras |

8 | 01/30 | Semifields |

9 | 02/02 | Proof of Laurent phenomenon I |

10 | 02/04 | Proof of Laurent phenomenon II |

11 | 02/06 | Upper/Lower bounds amd upper cluster algebras |

12 | 02/09 | d-vectors I |

13 | 02/11 | d-vectors II |

14 | 02/13 | Dynkin diagrams |

15 | 02/16 | Finite type classification |

16 | 02/18 | Improvvisation on homeworks |

17 | 02/20 | Growth rates |

18 | 02/25 | Almost-positive roots |

19 | 03/02 | Generalized associahedron |

20 | 03/04 | Exchange relations |

21 | 03/06 | Surfaces I |

22 | 03/16 | Surfaces II |

23 | 03/18 | Surfaces III |

24 | 03/23 | Principal coefficients |

25 | 03/25 | Ecxhange graphs |

26 | 03/27 | F-polynomials, c-vectors |

27 | 03/30 | g-vectors |

28 | 04/01 | Dualities |

29 | 04/06 | Quivers |

30 | 04/08 | Gabriel's theorem |

31 | 04/10 | CC map |

32 | 04/13 | Seminars |

33 | 04/15 | Seminars |

34 | 04/17 | Seminars |

Lectures 1-10

Lectures 11-17

Lecture 18

Lecture 19

Lecture 20

Lecture 21

Lecture 22

Lecture 23

Lecture 24

Lecture 25

Lecture 26

Lecture 27

Lecture 28

Lecture 29

Lecture 30

Lecture 31

Last modified: Thursday, 28-Aug-2014 18:42:26 EDT