Oberwolfach Surgery Seminar 2012: General information

Revision as of 13:42, 10 April 2012

1 References

• [Ranicki1979]
• [Ranicki1992]
• [Ranicki2002]
• [Kühl&Macko&Mole2011]

2 Schedule

2.1 Geometric surgery

1. Bundle theories DC
2. Spivak normal fibration DC
3. Normal invariants and surgery below the middle dimension DC
4. L-groups of rings with involution DC
5. Surgery obstructions DC
6. The geometric surgery exact sequence DC
7. The TOP surgery exact sequence TM

2.2 Algebraic surgery

1. Structured chain complexes AR
2. Symmetric and quadratic signature AR
3. Algebraic surgery and L-groups via chain complexes AR
4. Examples of Poincaré complexes Speakers TBA
5. Algebraic bordism categories and categories over complexes TM
6. Generalized homology theories TM
7. The normal complexes TM

2.3 Algebraic surgery versus geometric surgery

1. The algebraic surgery exact sequence TM
2. The topological block bundle obstruction TM
3. The surgery obstruction AR
4. The geometric and algebraic surgery exact sequences AR
5. Examples and related developments AR

3 References