Autumn School: "Topology of Singularities"
This is an autumn school of the SFB/TRR 45 BonnEssenMainz financed by Deutsche Forschungsgemeinschaft. It takes place September 1923, 2011 at the University of Mainz.
What 


When 
Sep 19, 2011 09:00 AM
to Sep 23, 2011 02:00 PM 
Where  Mainz, 05426 (Lectures), 05432 (Registration) 
Contact Name  Jutta Gonska 
Contact Phone  +4961313922327 
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The school aims to introduce the audience to the topology of singularities over the field of complex numbers. We will start with the basic theory and intend to reach active fields of research by the end of the week. The emphasis will be on practical aspects. The lectures address PhD students and Postdocs in the field of algebraic or complex geometry with a basic knowledge in classical topology.
Organizers:
 Michael Bogner (Mainz)
 Christian Lehn (Mainz)
 Duco van Straten (Mainz)
Speakers:
 Norbert A'Campo (Basel): Topology of complex hypersurface singularities.
 Michael Lönne (Bayreuth): Topology of plane curves, local and global.
Topics of the lecture course will be: topology of plane curve singularities, its link, the braid, the concept of monodromy, basics of the braid group, Puiseux theorem, braid monodromy.  András Némethi (Budapest): Some invariants of normal surface singularities
 Jonathan Wahl (Chapel Hill, North Carolina, USA): QGorenstein smoothings of normal surface singularities.
Schedule
Time  Monday  Tuesday  Wednesday  Thursday  Friday 

9:00  registration  

9:3010:30  A'Campo 
Némethi 
Lönne  A'Campo/Lönne  exc. Némethi/ Wahl (2) 
10:3011:00  coffee break 

11:0012:00  Lönne 
Némethi 
A'Campo  Wahl*  Lönne 
12:1513:15  Wahl* 
A'Campo  Wahl* 
Némethi  Némethi 
13:1514:00  lunch 

14:0015:30 
preparation for exercises 
15:0017:00  preparation for exercises 

15:3016:00 
coffee break 
Guided Tour: 
coffee break 

16:0017:00 
exc. A'Campo/ Lönne (1) 
exc. Némethi/ Wahl (1) 
Town of Mainz 
exc. A'Campo/ Lönne (2) 

18:00 
sparkling wine tasting 
exc.= exercise session
* It is recommended that you read the first 67 pages of Wahl, Jonathan "Topology, geometry, and equations of normal surface
singularities," in Singularities and Computer Algebra, LMS Lecture Note
Series (No. 324), Cambridge University Press (2006), as preparation.
References for preparation:
Lönne:
 Brieskorn, Egbert; Knörrer, Horst Plane: Algebraic Curves. Translated from the German by John Stillwell. Birkhäuser Verlag, Basel, 1986. vi+721 pp. ISBN: 3764317698,
 Ebeling, Wolfgang: The monodromy groups of isolated singularities of complete intersections. Lecture Notes in Mathematics, 1293. SpringerVerlag, Berlin, 1987. xiv+153 pp. ISBN: 3540186867
 Fischer, Gerd: Plane algebraic curves. Student Mathematical Library, 15. American Mathematical Society, Providence, RI, 2001. xvi+229 pp. ISBN: 0821821229
Néhmeti:
 Five lectures on normal surface singularities; lectures delivered at the Summer School in "Low dimensional topology'', Budapest, Hungary 1998; Proceedings of the Summer School, Bolyai Society Mathematical Studies 8, Low Dimensional Topology, 269351 (1999).
 Some topological invariants of isolated hypersurface singularities, Five lectures of the EMSSummer School, Eger (Hungary) 1996, Proceedings of the Summer School, Bolyai Society Mathematical Studies 8, Low Dimensional Topology, 353413 (1999).
 Invariants of normal surface singularities, Proceedings of the Conference: Real and Complex Singularities, San Carlos, Brazil, August 2002; Contemporary Mathematics, 354, 2004, 161208.
 Graded roots and singularities, Proceedings Advance School and Workshop on Singularities in Geometry and Topology ICTP (Trieste, Italy), World Sci. Publ., Hackensack, NJ, 2007, 394463.
 Lattice cohomology of normal surface singularities, Publ. RIMS. Kyoto Univ., 44 (2008), 507543.
 Poincaré series associated with surface singularities, Singularities I: Algebraic and Analytic Aspects, International Conference in Honor of the 60th Birthday of Lê Dung Tráng, 2007, Cuernavaca, Mexico, Contemporary Mathematics, 474, 2008, 271299.
 "Chapters on Algebraic Surfaces" by Miles Reid
Wahl:
 Milnor, John: Singular points of complex hypersurfaces", Ann. of Math. Studies 91 (1968).
 Mumford, David: "The topology of normal singularities of an algebraic surface and a criterion for simplicity," Publ. Math. IHES 9 (1962)
 Hirzebruch: Bourbaki talk on that paper (Seminaire Bourbaki, 1962/63, No. 250).
 Pinkham, Henry: "Deformations of normal singularities with C*action,"
Math. Ann. 232 (1978), 6584.  Wahl, Jonathan: "On rational homology disk smoothings of valency 4 surface singularities".
http://arxiv.org/abs/1005.2199  Wahl, Jonathan: "Topology, geometry, and equations of normal surface
singularities," in Singularities and Computer Algebra, LMS Lecture Note
Series (No. 324), Cambridge University Press (2006).
Applications and Financial Support
Full financial support is available for members of the SFB/TRR 45. There is limited support for other participants, too. Please register by filling out the registration form; deadline for application is August 31, 2011.
We kindly as applicants who register later than August 19, 2011 to take care of hotel reservation themselves. For that, we refer to the survey page of the city of Mainz where you can find a detailed list of hotels in and around Mainz.
Travel information
All lectures will take place in the Mathematics Department of the University of Mainz, Staudinger Weg 9, in room 05426. Here is a map of the campus. The closest airport is located at Frankfurt/Main. Find your way from the airport to the institute here.