Summerschool on Hall algebras, loop algebras and

weighted projective lines

Supported by:"International Research Training Group: Geometry and Analysis of Symmetries"

The Summerschool is intended for Ph.D. students and (early) postdocs.

The aim of this summer school is to understand and explore some of the modern techniques used in the study of coherent sheaves over weighted projective lines (in the sense of Geigle and Lenzing). In particular we will cover the associated Lie algebras, which are loop algebras of Kac-Moody Lie algebras, and a construction due to Peng and Xiao of Lie algebras from certain triangulated categories using Hall algebra methods. At the end we will combine these ideas and cover the proof by W. Crawley-Boevey of an analogue of Kac's Theorem for weighted projective lines. In addition, there will a couple of overview talks shedding light on further developments and applications of certain concepts.

The Summerschool will follow the tradition of previous spring/summerschools in representation theory. Every participant chooses a subject of the program (see below) and gives a talk.The typical participant will not be an expert in the subject, but working in one of the fields indicated above and interested in jointly learning a new subject. There will be no special prerequisities except for standard knowledge in representation theory, but participants are expected to prepare themselves and their talks in advance. It is recommended that this is done in small groups; in particular, the talks could/should be subdivided into smaller parts.

At the end of the week, there will be invited lectures by Helmut Lenzing.

The program (including references) can be found here.

Name | University | |
---|---|---|

Xiao-Wu Chen | Paderborn | xwchen at math.upb.de |

Karsten Dietrich | Paderborn | karsten.dietrich at math.upb.de |

Thilo Henrich | Bonn | henrich at math.uni-bonn.de |

Martin Kalck | Bonn | kalck at uni-bonn.de |

Claudia Köhler | Paderborn | claudia.koehler at math.upb.de |

Dirk Kussin | Bielefeld | dirk at math.uni-paderborn.de |

Jue Le | Paderborn | juele at math.uni-paderborn.de |

Nicolas Poettering | Bonn | n.poettering at googlemail.com |

Julia Sauter | Leeds | jsauter at math.uni-paderborn.de |

Matthias Warkentin | Chemnitz | matthiaswarkentin at yahoo.de |

Thorsten Weist | Wuppertal | weist at math.uni-wuppertal.de |

Marcel Wiedemann | Paderborn | marcel.wiedemann at math.upb.de |

Fan Xu | Bielefeld | fanxu200807 at gmail.com |

Lingling Yao | Bielefeld | linglingyao at gmail.com |

Guodong Zhou | Cologne | gzhou at math.uni-koeln.de |

The schedule can be found here.

Notes of the Summerschool (taken by Claudia Köhler).

Due to the restrictions of the location, the number of participants is strictly limited to 20.

Accommodation and full boarding will be covered by the Graduiertenkolleg "IRTG - Geometry and Analysis of Symmetries". However, travel expenses can not be covered.If you would care to participate in the Summerschool, please send an email to Claudia Köhler, indicating which topic you are willing to give a talk about.

The deadline for registration is 30.06.2009.There is an hourly train service from Paderborn to Bad Driburg.

Those who don't like to walk may take a taxi (phone: 05253 6776 or 05253 2242) or contact one of the organizers.