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 |