Cohomology theories for algebraic varieties
by Zhaohu Nie
Abstract: I will discuss two topics: Hodge theory and motivic cohomology. For Hodge theory, I will discuss the approach to the Hodge conjecture using singular hypersurfaces, together with the related notions of singularities of a Hodge class and singularities of an admissible normal function. This part is joint work with P. Brosnan, H. Fang and G.Pearlstein. For motivic cohomology, I will present a construction of the motivic reduced power operations following a topological analogue of
Karoubi. If time permits, I will briefly mention some other theories in this huge field.
For More Information: Professor Peter Taylor P.Taylor@ms.unimelb.edu.au