Motivic Cohomology: past, present and future

I will give a brief overview of the development of motivic cohomology, its parallels with singular cohomology and its place in motivic stable homotopy theory. I will then describe some of the recent off-shoots of motivic cohomology: cycles with modulus, Chow-Witt theory, and motivic filtrations on p-adic K-theory, and conclude with some speculations on future developments.

https://icm2022.abstractserver.com/program/#/details/sessions/211