Workshop on Fourier-Mukai transformation
and abelian varieties.
February 6-7 2004, Universität Essen
DfG Schwerpunkt Globale Methoden in der komplexen Geometrie
|Organizers: Franziska Bittner and Manuel Blickle.|
Programme: Using Polishchuk's book  Abelian Varieties, Theta Functions and the Fourier transform we want to understand the modern technique of Fourier-Mukai transforms. As a concrete goal we aim for Beilinson's and Polishchuk's  proof of the Torelli theorem which uses Fourier-Mukai transforms. The workshop will also discuss some classical results on abelian varieties but will present them from a modern point of view. See the link below for a more detailed description of the topics.
 A. Polishchuk. Abelian varieties, Theta Functions and the Fourier Transform. Cambridge University Press, Cambridge, 2003.
 A. Beilinson and A. Polishchuk. Torelli theorem via Fourier-Mukai Transform. In Moduli of Abelian Varieties, volume 195 of Progr. Math., pages 127--132. Birkhäuser, Basel, 2001.
Detailed Programme Description: pdf ps
Participants: A list of participants is found here.
Talks: Room T03 R03 D26 (how
to get there?).
|Friday February 6, 2004|
|10:15--11:15|| introduction to abelian varieties||Kai Ruelling|
|11:30--12:30|| biextensions||Denis Osipov|
|14:00--15:00|| dual represents Pic°||Jochen Heinloth|
|15:30--16:30|| properties fourier-mukai||Alexander Zheglov|
|Saturday February 7, 2004|
|09:00--10:00|| jacobians of curves||Remke Kloosterman|
|10:15--11:15|| theta divisors||Stavros Papadakis|
|11:30--12:30|| symmetric powers of curves||Segiy Mozgovyy|
|14:30--15:30|| varieties of special divisors||Thomas Bauer|
|16:00--17:00|| torelli theorem||Ralf Gerkmann|
Date and Location: The workshop will take place at the Universität Essen. Arrival is the evening of Thursday February 5th and departure is Sunday February 8th. Thus we have 2 full days of talks: February 6th & 7th.
Lodging: All participants are staying at Hotel Korn (Hoffnungstrasse 19, 45127 Essen, +49 (0) 201 221414) which is in less than 10 minutes walking distance of both, the Essen main train station and the University.
Registration: If you are interested to attend please send an email before December 15th to firstname.lastname@example.org, indicating your preference of talks you would like to give.
Finincial Support: For members, the DFG Schwerpunkt "Globale Methoden in der komplexen Geometrie" will pay for travel and accomodation. There might be financial support available for non-members of the Schwerpunkt as well, please indicate in your email if you require funding.