|SHORT TALKS BY POSTDOCTORAL MEMBERS|
|Topic:||Algebraic Cycles and Lawson Homology|
|Affiliation:||Member, School of Mathematics|
|Date:||Friday, September 25|
|Time/Room:||2:00pm - 3:00pm/S-101|
A natural topology can be given to the space of algebraic cycles over an algebraic variety. By taking homotopy groups of this space, one yields homology-like invariants of the variety, called Lawson homology groups. I will talk about their definitions and compare those with singular homology groups. Results and open problems in this aspect will be reviewed.