| Speaker: | Mircea Voineagu (IPMU) |
|---|---|
| Title: | Semi-topological invariants of real algebraic varieties |
| Date (JST): | Tue, Aug 31, 2010, 13:15 - 14:45 |
| Place: | Seminar Room A |
| Abstract: |
First part: I will try to give a careful description of some of the definitions, motivations and main results in the field of motivic cohomology that will be used in the second part. Second part: We prove the analogue of Friedlander-Mazur conjecture for reduced Lawson homology which says that reduced Lawson homology vanish in all weights over the dimension of a real variety. This can be seen as an algebraic generalization of the fact that singular homology of the space of real points of a real smooth variety vanishes over the algebraic dimension of the variety. If time allows, I will show, by means of a spectral sequence and Milnor's conjecture, how Atiyah's KR-theory of the analytic space of a smooth real variety can be described by real semi-topological K-theory in high indexes. These results are joint work with J.Heller. |
| Contact: | Kondo |
| Remarks: | There will be a 5-minute break after the 25-minute first part. |
