|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|
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.
|Remarks:||There will be a 5-minute break after the 25-minute first part.|