The Institute for Advanced Studies

 

VICTOR ROTHSCHILD MEMORIAL SYMPOSIA 12TH JERUSALEM MIDRASHA MATHEMATICAE ON “Higher Teichmuller Theory, Clusters, and Quantization” JERUSALEM, May 11-19, 2008

Reading List

 

1.  V. V. Fock, A. B. Goncharov.:  Moduli spaces of local systems and higher Teichm\"uller theory}, 
Publ. Math. IHES n 103 (2006) 1-211. ArXive math.AG/0311149.

2. V. V. Fock, A. B. Goncharov.  Dual Teichmuller and lamination spaces. math.DG/0510312  

3. V. V. Fock, A. B. GoncharovThe quantum dilogarithm and representations quantized cluster varieties.
math/0702397

4. S. Fomin, A. Zelevinsky Cluster algebras: Notes for the CDM-03 conference. math.RT/0311493

5. S. Fomin, A. Zelevinsky Cluster algebras II: Finite type classification. math.RA/0208229.


6. P. Caldero, B. Keller, From triangulated categories to cluster algebras,
Inv. Math. 172 (2008), 169-211.

7. C. Geiss, B. Leclerc, J. Schroer, Preprojective algebras and cluster
algebras, survey article to appear in the proceedings of the
ICRA 12, arXiv:0804.3168.

8. B. Keller, Categorification of acyclic cluster algebras: an introduction,
to appear in the proceedings of the conference `Higher structures
in Geometry and Physics 2007', Birkhauser, arXiv:0801.3103.

9. A. Bakke Buan, R. Marsh, M. Reineke, I. Reiten, G. Todorov,
Tilting theory and cluster combinatorics, Adv. in Math. 204 (2006), 572-618.

10. Cluster algebras I, II, IV
math.RT/0104151 http://front.math.ucdavis.edu/0104.5151
math.RA/0208229 http://front.math.ucdavis.edu/0208.5229
math.RA/0602259 http://front.math.ucdavis.edu/0602.5259