@article{8897e4c20fde44b6b3549ea07b47755d,
title = "Equivariant birational geometry and modular symbols",
abstract = "We introduce new invariants in equivariant birational geometry and study their relation to modular symbols and cohomology of arithmetic groups.",
keywords = "birational invariants, cohomology of arithmetic groups, Equivariant birational geometry",
author = "Maxim Kontsevich and Vasily Pestun and Yuri Tschinkel",
note = "Funding Information: We are grateful to Alex Barnett and Nick Carriero (Flatiron Institute, Simons Foundation) for their help with computer experiments, and to Avner Ash and Alexander Goncharov for their interest and helpful comments. Funding. The third author was partially supported by NSF grant 1601912. This research has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (QUASIFT grant agreement 677368). Funding Information: Funding. The third author was partially supported by NSF grant 1601912. This research has received funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation program (QUASIFT grant agreement 677368). Publisher Copyright: {\textcopyright} 2021 European Mathematical Society.",
year = "2023",
doi = "10.4171/jems/1170",
language = "English (US)",
volume = "25",
pages = "153--202",
journal = "Journal of the European Mathematical Society",
issn = "1435-9855",
publisher = "European Mathematical Society Publishing House",
number = "1",
}