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Conference on topology, geometry, and dynamics. V. A. Rokhlin-100. The Euler International Mathematical Institute and Steklov Institute of Mathematics, St. Petersburg, Russia, August 19–23, 2019. (English) Zbl 1492.57002

Contemporary Mathematics 772. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5664-1/pbk; 978-1-4704-6451-6/ebook). x, 345 p. (2021).

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Publisher’s description: Vladimir Abramovich Rokhlin (8/23/1919–12/03/1984) was one of the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic topology, real algebraic geometry, and ergodic theory.
The volume contains the proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100, held from August 19–23, 2019, at The Euler International Mathematics Institute and the Steklov Institute of Mathematics, St. Petersburg, Russia.
The articles deal with topology of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics. The book also contains Rokhlin’s biography supplemented with copies of actual very interesting documents.
The articles of this volume will be reviewed individually.
Indexed articles:
Vershik, A. M., V. A. Rokhlin (23 August 1919 – 3 December 1984), materials for the biography, 1-17 [Zbl 1489.01033]
Buchstaber, Victor M., Vladimir Abramovich Rokhlin and algebraic topology, 33-67 [Zbl 1489.55001]
Bühler, Theo; Kaimanovich, Vadim A., Amenability of groupoids and asymptotic invariance of convolution powers, 69-92 [Zbl 1489.43001]
Degtyarev, Alex; Florens, Vincent; Lecuona, Ana G., Slopes of links and signature formulas, 93-105 [Zbl 1494.57006]
Erokhovets, Nikolai Yu., \(B\)-rigidity of the property to be an almost Pogorelov polytope, 107-122 [Zbl 1489.52011]
Finashin, S.; Kharlamov, V., The first homology of a real cubic is generated by lines, 123-131 [Zbl 1489.14082]
Glasner, Eli; Megrelishvili, Michael, Circular orders, ultra-homogeneous order structures, and their automorphism groups, 133-154 [Zbl 1490.22004]
Gurevich, B. M., Convergence of equilibrium measures corresponding to finite subgraphs of infinite graphs: new examples, 155-164 [Zbl 1489.37036]
Kharlamov, V.; Shevchishin, V., Anti-symplectic involutions on rational symplectic 4-manifolds, 165-172 [Zbl 1490.57026]
Krutowski, Roman; Panov, Taras, Dolbeault cohomology of complex manifolds with torus action, 173-187 [Zbl 1489.32003]
Lee, Eunjeong; Masuda, Mikiya; Park, Seonjeong; Song, Jongbaek, Poincaré polynomials of generic torus orbit closures in Schubert varieties, 189-208 [Zbl 1489.14066]
Limonchenko, Ivan; Millionshchikov, Dmitry, Higher order Massey products and applications, 209-240 [Zbl 1489.13033]
Margulis, G. A.; Soifer, G. A., Discreteness of deformations of cocompact discrete subgroups, 241-247 [Zbl 1489.22009]
Melikhov, Sergey A., Topological isotopy and Cochran’s derived invariants, 249-266 [Zbl 1492.57004]
Mishchenko, Alexander S., Geometric description of the Hochschild cohomology of group algebras, 267-280 [Zbl 1489.16011]
Skopenkov, A., A user’s guide to basic knot and link theory, 281-309 [Zbl 1492.57001]
Stepin, Anatoly; Tikhonov, Sergey, Group actions: entropy, mixing, spectra, and generic properties, 311-324 [Zbl 1489.37003]
Sullivan, Dennis, Rokhlin’s theorem, a problem and a conjecture, 325-329 [Zbl 1496.57003]
Zvonilov, V. I., Maximally inflected real trigonal curves on Hirzebruch surfaces, 331-345 [Zbl 1489.14083]

MSC:

57-06 Proceedings, conferences, collections, etc. pertaining to manifolds and cell complexes
55-XX Algebraic topology
57-XX Manifolds and cell complexes
14-XX Algebraic geometry
11K50 Metric theory of continued fractions
11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension
22D40 Ergodic theory on groups
37Axx Ergodic theory
47A35 Ergodic theory of linear operators
37-XX Dynamical systems and ergodic theory
60Fxx Limit theorems in probability theory
60G10 Stationary stochastic processes
53C65 Integral geometry
60D05 Geometric probability and stochastic geometry
57K10 Knot theory
19Lxx Topological \(K\)-theory
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
57Txx Homology and homotopy of topological groups and related structures
14L05 Formal groups, \(p\)-divisible groups
19L41 Connective \(K\)-theory, cobordism
57R75 \(\mathrm{O}\)- and \(\mathrm{SO}\)-cobordism
57R77 Complex cobordism (\(\mathrm{U}\)- and \(\mathrm{SU}\)-cobordism)
57R85 Equivariant cobordism
57R90 Other types of cobordism
00B25 Proceedings of conferences of miscellaneous specific interest
00B30 Festschriften

Biographic References:

Rokhlin, Vladimir Abramovich
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