TWENTY YEARS OF TILTING THEORY

-  an Interdisciplinary Symposium  -


November 18-22, 2002,
Fraueninsel, Germany

 

Monday November 18
08:45-09:00 Opening
09:00-09:50
Thomas Brüstle, Bielefeld
Tilting and representation type of finite dimensional algebras I

10:00-10:50
Stephen Donkin, London
Tilting Modules for Algebraic Groups and Applications I

11:00-11:30 Coffee break
11:30-12:20
Bernhard Keller, Paris VII
From Grothendieck groups to the universal tilting invariant I

12:30-14:00 Lunch break
14:00-14:20
Thorsten Holm, Magdeburg
Representation dimension and the finitistic dimension conjecture for special biserial algebras

14:30-14:50
Stephen Doty, Chicago
Using tilting modules to decompose tensor products of modular irreducible modules for SL(2)

15:00-15:50
Karin Erdmann, Oxford
Tilting modules for Schur algebras and decomposition numbers

16:00-16:30 Coffee break
16:30-17:20
Kent Fuller, Iowa
Tilting Modules of Projective Dimension at most One and Generalizations

17:30-18:20
Jan Trlifaj, Prague
Tilting approximations and finitistic dimensions I

Tuesday November 19
09:00-09:50
Michael Butler, Liverpool
A spectral sequence analysis of Miyashita's tilting functors

10:00-10:50
Thomas Bruestle, Bielefeld
Tilting and representation type of finite dimensional algebras II

11:00-11:30 Coffee break
11:30-12:20
Stephen Donkin, London
Tilting Modules for Algebraic Groups and Applications II

12:30-14:00 Lunch break
14:00-14:20
Dag Madsen, Trondheim
Tilting families for graded algebras

14:30-14:50
Alberto Tonolo, Padova
Sequentially static and costatic modules

15:00-15:50
Silvana Bazzoni, Padova
Are n-cotilting modules pure-injective?

16:00-16:30 Coffee break
16:30-17:20
Idun Reiten, Trondheim
Tilting with respect to torsion pairs and hereditary categories

17:30-18:20
Helmut Lenzing, Paderborn
Hereditary noetherian categories of domestic or degenerated type

Wednesday November 20
09:00-09:50
Michel van den Bergh, Limburg
Applications of tilting in algebraic geometry I

10:00-10:50
Bernhard Keller, Paris VII
From Grothendieck groups to the universal tilting invariant II

11:00-11:30 Coffee break
11:30-12:20
Jeremy Rickard, Bristol
Equivalences of derived categories in modular representation theory I

12:30-18:30 Lunch break and excursion
Thursday November 21
09:00-09:50
Claus Michael Ringel, Bielefeld
Tilting modules for tubular algebras

10:00-10:50
Jeremy Rickard, Bristol
Equivalences of derived categories in modular representation theory II

11:00-11:30 Coffee break
11:30-12:20
Lutz Hille, Hamburg
Fourier-Mukai transforms, an introduction

12:30-14:00 Lunch break
The following sessions are running simultaneously
14:00-14:20 Igor Burban, Kaiserslautern
Fourier Mukai transform on a nodal Weierstrass cubic
Francesca Mantese, Padova
Complements to almost complete cotilting modules
14:30-14:50 Maria Jose Souto,Coruna
A reformulation of Brenner-Butler's Theorem for derived categories
Jun Hu, Stuttgart
Schur-Weyl reciprocity between quantum groups and Hecke algebras of type D_n
15:00-15:50
Jun-ichi Miyachi, Tokyo Gakugei
A combinatorial approach to derived Picard groups

16:00-16:30 Coffee break
16:30-17:20
Joe Chuang, Bristol
Derived equivalences for blocks of symmetric groups

17:30-18:20
Raphael Rouquier, Paris VII
TBA

Friday November 22
09:00-09:50
Jan Trlifaj, Prague
Tilting approximations and finitistic dimensions II

10:00-11:00
Olivier Mathieu, Lyon
Tilting modules approach for A-type representation theory

11:00-11:30 Coffee break
11:30-12:20
Steffen Koenig, Leicester
Tilting cellular algebras?

12:30-14:00 Lunch break
14:00-14:20
Apostolos Beligiannis, Samos
Tilting modules and closed model structures

14:30-14:50
Luigi Salce, Padova
Tilting modules over valuation domains

15:00-15:50
Michel van den Bergh, Limburg
Applications of tilting in algebraic geometry II