Lawson homology, morphic cohomology and Grothendieck standard conjectures

Prof. Jyh-Haur Teh }Gӻ~
National Center for Theoretical Sciences
4F, Third General Building
National Tsing Hua University
No. 101, Sec 2, Kuang Fu Road
Hsinchu, Taiwan 30043, Taiwan R.O.C.
jyhhaur@math.cts.nthu.edu.tw

Abstract

    I will give an overview of Lawson homology and morphic cohomology, and explain the relations between morphic conjectures and Grothendieck standard conjectures. I will define morphic signatures and give a generalization of the classical Hodge index theorem by assuming morphic conjectures. The relations between morphic signatures and Hodge conjecture will be explained.