K-theory and characteristic classes in topology and complex geometry (a tribute to Atiyah and Hirzebruch)

We will discuss the K-theory of complex vector bundles on topological spaces and of holomorphic vector bundles on complex manifolds. A central question is the relationship between K-theory and cohomology. This is done in topology by constructing characteristic classes, but other constructions appear in the holomorphic or algebraic context. We will discuss the Hirzebruch- Riemann-Roch formula, the Atiyah-Hirzebruch spectral sequence, the role of complex cobordism, and other tools developed later on, like the Bloch-Ogus spectral sequence.

Talk chair: Baohua Fu

Written articles will accompany each lecture in this series and be available as part of the publication “History and Literature of Mathematical Science.”

For more information, please visit the event page.

Register here to attend.