Working Week on Resolution of Singularities Tirol 1997

September 7-14, 1997, Obergurgl, Tirol, Austria

1. Program of Working Week
2. Notes of classes (Preliminary versions, updated continuously)
• D. Abramovich & F. Oort: Alterations and Resolution of Singularities. (Ps-file)
• D. Abramovich: Copies of transparencies
• J. M. Aroca: Singularities of Differential Equations. (Ps-file)
• F. Oort: Stable pointed curves, alterations and applications.  (Ps-file)
• Teissier: Toric Resolution (Contents)
• S. Encinas & O. Villamayor: Constructive Desingularization and Equivariance.  (Ps-file);
• S. Encinas & O. Villamayor: Problems revised with general comments and definitions. (Ps-file);
3. Abstracts of lectures
• Abhyankar: Analytic Desingularization in Characteristic Zero. (Contents)
• Hironaka: On Singularities of Positive Characteristic
4. Reading literature
• H. Hauser: Seventeen obstacles for resolution of singularities.  (Ps-file)
• F. Oort: Alterations can remove singularities. (Ps-file)

1. D. Abramovich & F. Oort: Alterations and resoluton of singularities
2. J.M. Aroca:  Reduction of singularities for differential equations
3. J.M. Aroca:  Puiseux's solutions of singular differential equations
4. G. Bodnar & J. Schicho: A computer program for the resolution of singularities
5. V. Cossart: Uniformisation et desingularisation des surfaces d'apres Zariski
6. D.A Cox: Toric varieties and toric resolutions
7. S. Encinas & O. Villamayor:  Constructive desingularization and equivariance
8. T. Geisser:  Applications of de Jong's theorem on alterations
9. B. van Geemen & F. Oort:  A compactification of a fine moduli space of curves
10. H. Hauser:  Excellent surfaces and their taut resolution
11. A.J de Jong:  An application of alterations to Dieudonne modules
12. D.T. Le:  Les singularitès sandwich
13. J. Lipman:  Equisingularity and simultaneous resolution of singularities
14. J. Lipman:  Oscar Zariski
15. F. Pop:  Alterations and birational anabelian geometry
16. B. Teissier:  Valuations, deformations, and toric geometry
17. R. Goldin & B. Teissier:  Resolving singularities of plane analytic branches with one toric morphism
18. F. Kuhlmann: Valuation theoretic and model theoretic aspects of local uniformization
19. G. Mueller: Resolution of weighted homogeneous surface singularities
20. H. Reitberger:  The turbulent fifties in resolution of singularities
21. M. Vaquie:  Valuations