BIREP-Seminar: 

Stability reading course

This reading course will deal with some papers on the topic of stable and semi-stable representations. The lectures are as follows (Fridays from 13:00 in T2-228):

- In addition there will be a talk on "Localization in Kronecker moduli spaces and applications" by Thorsten Weist (Wuppertal) on Friday, 07.12.2007 at 13:15 in T2-228.

References

1. Harder, G., Narasimhan, M.S.: On the Cohomology Groups of Moduli Spaces of Vector Bundles on Curves. Mathematische Annalen, Volume 212 Issue 1, 1974. (pdf)
2. Hille, L., de la Pena, J. A.: Stable representaions of finite dimensional algebras, J. Pure and Applied Algebra, 2001.
   
3. Reineke, M: The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli. arXiv:math/0204059v1, 2002. (pdf)
   
4. King, A. D.: MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS, Quart. J. Math. Oxford (2), 45, p. 5515-530, 1994. (pdf)
   
5. Rudakov, A.: Stability for an Abelian Category, JOURNAL OF ALGEBRA 197, p. 231-245, 1997. (pdf)
6. Rudakov, A.: Algebraic Stability: Schur Lemma and Canonical Filtrations.1996. (pdf)
7. Hille, L., de la Pena, J. A.: Distinguished slopes for quiver representations. Bol. Soc. Mat. Mexicana, (3) Vol. 7, 2001.
8. Reineke, M.: Localization in quiver moduli. arXiv:math/0509361v1, 2005. (pdf)
9. Engel, J., Reineke, M.: Smooth models of quiver moduli. arXiv:0706.4306v1, 2007. (pdf)
10. Newstead, P. E.: Introduction to moduli problems and orbit spaces. Lectures on Mathematics and Physics, 51. Tata Institute of Fundamental Research, Bombay, 1978.