Séminaires : Séminaire Dérivé

Homotopical Methods in Algebraic and Arithmetic Geometry.

https://indico.math.cnrs.fr/category/808/

In this talk, I will first survey well-known connections
between algebraic K-theory and algebraic cycles, including the
coniveau and Atiyah–Hirzebruch spectral sequences, as well as the
classical Riemann–Roch theorem. I will then explain the motivations
behind the current trend of enhancing these results using quadratic
(or more exactly symmetric bilinear) forms, and highlight a few
results in this direction.