MS Seminar (Mathematics - String Theory)

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.