CMSA Math Science Literature Lecture Series


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May 25, 2021 9:00 am - 10:30 am

Claire Voisin - Collège de France

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

ABSTRACT: 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.

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