A geometric construction of Chern classes
鄭志豪教授(Tsing-Hua University 下午 3:00–4:00 鴻經館 107 室Abstract:
Chern classes play a fundamental role in modern geometry. For example, they appear in important theorems like Gauss-Bonnet and Grothendieck-Riemann-Roch. For algebraic vector bundles over projective varieties, we are able to define their Chern classes in morphic cohomology by a geometric construction due to Friedlander and Lawson. I will explain how these morphic Chern classes coincide with original Chern classes by the natural transformation from morphic cohomology to singular cohomology.