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This volume collects contributions from participants in the IWOTA
conference held virtually at Lancaster, UK, originally scheduled in
2020 but postponed to August 2021. It includes both survey articles
and original research papers covering some of the main themes of
the meeting.
Young scientists in Russia are continuing the outstanding tradition
of Russian mathematics in their home country, in spite of the
post-Soviet diaspora. This collection, the second of two, showcases
the recent achievements of young Russian mathematicians and the
strong research groups they are associated with. The first
collection focused on geometry and number theory; this one
concentrates on combinatorial and algebraic geometry and topology.
The articles are mainly surveys of the recent work of the research
groups and contain a substantial number of new results. Topics
covered include algebraic geometry over Lie groups, cohomological
aspects of toric topology, the Borsuk partition problem, and
embedding and knotting of manifolds in Euclidean spaces. The
authors are A. E. Guterman, I. V. Kazachkov, A. V. Malyutin, D. V.
Osipov, T. E. Panov, A. M. Raigorodskii, A. B. Skopenkov and V. V.
Ten.
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