Chern Classes and Indices of Vector Fields on Singular Varieties

Explore the fundamental concepts of Chern classes and indices of vector fields on singular varieties in this 53-minute lecture by Jose Seade from UNAM. Delve into the development of these essential invariants in geometry and topology, tracing their evolution from the 1960s to the present day. Gain insights into the analogous theory for singular varieties, which remains an active area of research. Examine various aspects of this developing field, understanding its current state and potential future directions. Enhance your knowledge of advanced mathematical concepts and their applications in studying complex geometric structures.