Forschungsseminar Komplexe Analysis: WS 2011/12
Virtuelle Fundamentalklassen
Our goal is to read and understand the paper "the intrinsic normal cone" by Behrend and Fantechi [BF]. The idea of the seminar is to first have an introduction to the technical background of a section before the talk on that section of the paper.
Termin: Mittwoch 16:00 - 18:00 - Arnimallee 3 SR 119
| Termin | Sprecher | Thema |
|---|---|---|
| 19.10.2011 | Christian Barz | Obere Schranken für die essentielle Dimension linearer algebraischer Gruppen |
| 26.10.2011 | Bibinur Shupeyeva | Boundary Value Problems |
| 02.11.2011 | Victoria Hoskins | Stratifications by Harder-Narasimhan types |
| 09.11.2011 | Nikolai Beck | Algebraic Stacks ([Vi1], [G]) |
| 16.11.2011 | Anna Wißdorf | Cones and Cone Stacks ([BF], §1) |
| 23.11.2011 | Marianne Merz | Derived Categories([T], [Hu]) |
| 30.11.2011 | Vicky Hoskins | Stacks of the Form h1/h2 ([BF], §2) |
| 07.12.2011 | -- | -- |
| 14.12.2011 | -- | -- |
| 04.01.2011 | Nicola Tarasca | Brill-Noether loci in codimension two |
| 11.01.2012 | Lars Kastner | Intersection Theory ([Fu], [Vi2]) |
| 18.01.2012 | -- | -- |
| 25.01.2012 | Sotiris Karanikolopoulos | TBA |
| 01.02.2012 | Juan Pons LLopis | TBA |
| 08.02.2012 | -- | -- |
| 15.02.2012 | Balázs Szendrői | Degeneracy loci as moduli of sheaves |
Literatur:
- [BF]: K. Behrend, B. Fantechi, "The intrinsic normal cone", Invent. Math. 128, 45-88, arXiv:alg-geom/9601010v1, 1997
- [Vi1]: A. Vistoli, "Notes on Grothendieck topologies, fibered categories and descent theory", arXiv:math/0412512v4, 2004
- [G]: T. Gomez, "Algebraic stacks", Indian Academy of Sciences. Proceedings. Mathematical Sciences 111 (1): 1-31, arXiv:math/9911199v1, 2001
- [T]: R. Thomas, "Derived Categories for the Working Mathematician", arXiv:math/0001045v2, 2000
- [GM]: S. Gelfand, Y. Manin, "Methods of homolgical algebra", Springer-Verlag, 2003
- [Hu]: Huybrechts, "Fourier-Mukai transforms in Algebraic Geometry", Oxford mathematical monographs, Clarendon, 2006
- [Fu]: W. Fulton, "Intersection Theory", Springer-Verlag, 1998
- [Vi2]: A. Vistoli, "Intersection theory on algebraic stacks and on their moduli spaces", Invent. Math. 97, pdf, 1989
- [S]: E. Sernesi, "Deformations of Algebriac Schemes", Springer-Verlag, 2006
- [Ha]: R. Hartshorne, "Deformation Theory", Graduate Texts in Mathematics 257, Springer-Verlag, pdf, 2010