Symbolic dynamics and representations of matrices
By Emmanuel Jeandel
On the stable cohomology of the automorphism groups of free groups with coefficients
By Christine Vespa
By Marco Robalo
Appears in collection : Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Notes: https://nextcloud.ihes.fr/index.php/s/kjpdembGjpLYSos In this lecture, we will explain the connection between the (motivic) theory of vanishing cycles and the construction of motivic realizations of singularity categories. We review the results obtained in collaboration with Blanc-Toen-Vezzosi and discuss some of the recent progresses in the field.