2023 IHES SUMMER SCHOOL
Organizing Committee: Benjamin Antieau (Northwestern University), Lars Hesselholt (University of Copenhagen / Nagoya University), and Matthew Morrow (CNRS and Université Paris-Saclay)
Scientific Committee: Bhargav Bhatt (IAS and Princeton University / University of Michigan), Wiesia Niziol (CNRS and Sorbonne Université), and Akhil Mathew (University of Chicago)
The Summer School will be held at the Institut des Hautes Etudes Scientifiques (IHES) from July 10 to 21, 2023. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris) - Access map
This school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows.
Please note that there won't be remote transmission through Zoom but mini-courses and talks will be filmed and posted on the IHES YouTube channel in the following days.
Application is open until February 15, 2023.
In the style of an Oberwolfach Arbeitsgemeinschaft, ten talks will be given by postdoctoral participants on the topic of syntomic and étale motivic cohomology. Once the detailed list of talks is available, postdoctoral applicants will be contacted to ask which talk they would be willing to give.
2023 IHES Summer School - Recent Advances in Algebraic $K$-theory
The last few years have witnessed an explosion of progress in algebraic $K$-theory. Derived algebraic geometry and non-commutative methods have been refined into powerful tools, especially through the theory of localizing invariants. Trace methods have brought $K$-theory and topological cyclic homology closer together than ever before. Perfectoid techniques mean that $K$-theory benefits from the recent progress in $p$-adic cohomology, such as prismatic cohomology. Condensed mathematics provides at long last a uniform approach to the $K$-theory of topological rings. Geometric foundations for motivic stable homotopy theory have been laid and new motivic filtrations have been unearthed.
The goal of the Summer School will be to help bring the participants up to date on these exciting developments, via research lectures, mini-courses, and an Arbeitsgemeinschaft on the topic of syntomic and étale motivic cohomology.
This is an IHES Summer School organized in partnership with the Clay Mathematical Institute and in part of a project that has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 101001474).