Faculty of Mathematics
Collaborative Research Centre 701
Spectral Structures and Topological Methods in Mathematics
stripes SFB701

Thursday, September 14, 2017 - 14:15 in V2-200

Braid group action in elliptic Weyl groups and classification of thick subcategories

A talk in the 'Seminar Representation Theory of Algebras' series by
Patrick Wegener from Bielefeld
Abstract: In 2010 Igusa, Schiffler and Thomas classified the set of thick subcategories of the bounded derived category of mod(A) generated by an exceptional sequence, where A is a hereditary Artin algebra, in terms of the poset of noncrossing partitions. Motivated by a Theorem of Happel we consider the category of coherent sheaves on a weighted projective line of tubular type instead of mod(A) and give an outlook how to obtain a similar classification for this case. As an important tool we show that the braid group acts transitively on factorizations of the Coxeter element in an elliptic Weyl group of tubular type.