This project is funded within Long-term program of support of the Ukrainian research teams at the Polish Academy of Sciences carried out in collaboration with the U.S. National Academy of Sciences with the financial support of external partners. The project period is from September 2023 to August 2025.
Principal investigator: dr hab. Artem Dudko
Team members:
dr hab. Oleksandr Danylenko, B. Verkin ILTPE, Kharkiv, Ukraine, and IM PAN
DSc Mykola Nessonov, B. Verkin ILTPE, Kharkiv, Ukraine, and IM PAN
BSc Mykyta Vieprik, V. N. Karazin KhNU, Kharkiv, Ukraine, and IM PAN
BSc Nhok Tkhai Shon Ngo, V. N. Karazin KhNU, Kharkiv, Ukraine, and IM PAN
Major events:
Conference "Ergodic group actions and unitary representations", June 16-20, 2024, Warsaw
Publications and preprints:
A. Dudko and D. Gaidashev, Wild attractors for Fibonacci maps, https://arxiv.org/abs/2406.19019
A. Dudko and R. Grigorchuk, Characters and IRS's on branch groups and embeddings into hyperfinite factor, https://arxiv.org/abs/2312.13124
O. I. Danylenko and M. I. Vieprik, Rank-one nonsingular actions of countable groups and their odometer factors, accepted for publication in Ergodic Theory and Dynamical Systems, https://arxiv.org/abs/2401.16397
M.I. Nessonov, The classification of the stable factor-representations of the infinite hyperoctahedral group, https://arxiv.org/abs/2402.18058
M. I. Nessonov, S. D. Sinelshchikov, An analogue of the Schur-Weyl duality for the automorphisms group of a II1-factor, https://arxiv.org/abs/2211.14280, accepted for publication in Journal of Lie Theory
Conferences, schools, seminars co-organized by team members with the support of the grant:
IM PAN Dynamicsl Systems Seminar
Conference "On geometric complexity of Julia sets V", Będlewo, Poland, June 21-26, 2024