AG Ringel-Hall-Algebras
Wintersemester 2010/2011
Mittwoch 14-16, SR 127



I propose to discuss the general theory and the relation to quantum groups before Christmas, the Hall algebras of coherent sheaves in the new year. Concerning quantum groups, the talks should always try to specialize the general theory to the ``finite'' case, although the overview literature usually treats the more general and much more complicated Kac-Moody-case right away. It may help to read these overviews together with the original papers, where usually there comes first a paper on the finite case and only later the general case is developed. The lectures in the new year are a not very well informed proposition, which might be still modified after discussion with the algebraic geometers around.

In the following list, a name means someone who volunteered for the talk, and I put the name without brackets to indicate my proposition which talk he or she would take.

Vorträge

Literatur

[B] T. Bridgeland: Stability conditions, Notes, http://math.berkeley.edu/~anton/written/AspectsModuli/TB.pdf
[J] A. Joseph: Quantum groups and their primitive ideals.
[L] G. Lusztig: Canonical bases arising from quantized enveloping algebras, JAMS 3.
[R] R. Rouquier: Hall algebras (lecture notes), on http://people.maths.ox.ac.uk/~rouquier/
[S1] O. Schiffmann: Lectures on Hall algebras, arXiv:math/0611617
[S2] O. Schiffmann: Lectures on canonical and crystal bases of Hall algebras, arXiv:0910.4460