23/11/2010, 15:00 — 16:00 — Room P3.10, Mathematics Building Abdó Roig-Maranges, Universitat Politècnica de Catalunya
Morphic cohomology of toric varieties
In this talk I will describe morphic cohomology, a cohomology theory for complex algebraic varieties introduced by Friedlander and Lawson in the 90's. This cohomology is in between motivic cohomology and singular cohomology, and captures geometric information of the variety such as cycles modulo algebraic equivalence. Unlike its motivic cousin, this theory has a very explicit and concrete definition in terms of homotopy groups of spaces of cycles. Then I will talk about some problems it presents, and will describe a spectral sequence that computes it rather explicitly in the case of toric varieties.
