COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Ringel-Hall algebras and applications to moduli - I

## Ringel-Hall algebras and applications to moduli - IAdd to your list(s) Download to your calendar using vCal - Reineke, M (Bergische Universite Wuppertal)
- Wednesday 12 January 2011, 11:30-12:30
- Seminar Room 1 Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Moduli Spaces Moduli spaces of representations of quivers, parametrizing configurations of vector spaces and linear maps up to base change, provide a prototype for many moduli spaces of algebraic geometry. The Hall algebra of a quiver, a convolution algebra of functions on stacks of its representations, can be used to obtain quantitative information on the moduli spaces: algebraic identities in the Hall algebra, proved by representation-theoretic techniques, yield identities for e.g. Betti numbers or numbers of points over finite fields. We will develop several such identities and discuss more recent applications to wall-crossing formulae. Notes: Several of the Hall algebra techniques which I would like to discuss are reviewed in the survey “Moduli of representations of quivers”, arXiv:0802.2147. Although this paper was written for an audience of representation theorists, it might as well be helpful for the participants of the School on Moduli Spaces. The more recent applications to wall-crossing formulae are developed in “Poisson automorphisms and quiver moduli”, arXiv:0802.2147. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1 Newton Institute
Note that ex-directory lists are not shown. |
## Other listsThe National Trust for Scotland AI+Pizza Conspiracy and Democracy Project## Other talksMaking Refuge: Scripture and Refugee Relief Aspects of adaptive Galerkin FE for stochastic direct and inverse problems Identification of Active Species and Mechanistic Pathways in the Enantioselective Catalysis with 3d Transition Metal Pincer Complexes Inelastic neutron scattering and µSR investigations of an anisotropic hybridization gap in the Kondo insulators: CeT2Al10 (T=Fe, Ru and Os) Smuts, bunts and ergots |