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 - II

## Ringel-Hall algebras and applications to moduli - IIAdd to your list(s) Download to your calendar using vCal - Reineke, M (Bergische Universit㲠Wuppertal)
- Thursday 13 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
- bld31
Note that ex-directory lists are not shown. |
## Other listsSeminar on Religion, Conflict and Its Aftermath Issues in Question Writing CU Underwater Exploration Group## Other talksCambridge - Corporate Finance Theory Symposium September 2017 - Day 2 Borel Local Lemma Cohomology of the moduli space of curves Numerical solution of the radiative transfer equation with a posteriori error bounds Developmental cognitive neuroscience Statistical Learning Theory Art and Migration To be confirmed A rose by any other name The ‘Easy’ and ‘Hard’ Problems of Consciousness Pruning and grafting syntactic trees for cross-lingual transfer tasks |