The seminar is supposed to mainly analyze other authors' recent works on the theory of three- and four-dimensional manifolds, as well as the theory of knots. The focus will be on algorithmic issues, the theory of codimension one foliations, contact topology, Heegaard-Floer homology, smooth structures on four-dimensional manifolds and other relevant topics.

Among the works planned for discussion and detailed study are the following ones.

1. Recent works on the three-demensional homology cobordism group (Manolescu, Hom).
2. Approaches of Manolescu and Piccirillo to the construction of non-standard smooth structures on four-manifolds.
3. Works on the connection between Heegaard--Floer homology and taut foliations on three-manifolds (Ozsváth--Szabó, Hanselman--Rasmussen--Rasmussen--Watson, Kazez--Roberts, etc).
4. Works of Giroux on the connection between open books and contact structures.

Seminar organizers
Dynnikov Ivan Alekseevich
Prasolov Maxim Vyacheslavovich
Shastin Vladimir Alekseevich

Financial support
The seminar is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no.  075-15-2022-265).

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center