(1912-1999)
The Fourth Geometry Meeting
dedicated to the centenary of A.D.Alexandrov
August 20-24, 2012 Saint-Petersburg, Russia
Preliminary Program
9:30-10:15 Opening:
S. Kutateladze& Yu.Reshetnyak : Aleksandr D. Alexandrov (1912–1999)
D.Burago : A few words about A.D.Alexandrov
10:15 - 10:45 Coffee break
10:45 - 11:30 Banchoff : A.D.Alexandrov and the Birth of the Theory of Tight Surfaces
11:40 - 12:25 Fillastre : Reversed Alexandrov-Fenchel inequalities
12:40 - 15:00 Lunch
15:00 - 15:40
Section A: Panina : Extremal polygons in $R^3$
Section B: Gaifullin : Sabitov Polynomials for Volumes of Four-dimensional Polyhedra
15:40 - 16:00 Coffee break
16:00 - 17:55 Work in three sections A, B, C
Section A
16:00 - 16:25 Grossi : Poincare's polyhedron theorem for compact 4-manifolds
16:30 - 16:55 Ananin : Complex hyperbolic equidistant loci
17:00 - 17:25 Chernov : Smooth Cosmic Censorship and determining causality from linking
17:30 - 17:55 Apanasov : Andreev theorem, combinatorically symmetric polyhedra and varieties of representations
Section B
16:00 - 16:25 Caldiroli : Radial graphs over spherical domains with prescribed mean curvature.
16:30 - 16:55 Musina : Planar loops with prescribed curvature: existence, multiplicity and uniqueness results
17:00 - 17:55 Bogoyavlenskaya : Complete Riemannian metrics with holonomy group G_2 on deformations of cones over S^3xS^3
17:30 - 17:55 Rosemann : h-projective transformations on compact Kahler manifolds
Section C
16:00 - 16:25 Slutskiy : On a necessary flexibility condition of a nondegenerate suspension in Lobachevsky 3-space
16:30 - 16:55 Kozachok : Perfect prismatoids and the conjecture concerning with face numbers of centrally symmetric polytopes
17:00 - 17:25 A.Zhukova : Morse index of a cyclic polygon
17:30 - 17:55 Dolgonosova : Manifolds of Morphisms between Foliations with Transverse Linear Connection
18:00 Welcome party
9:30-10:15 Shioya : Concentration, Ricci curvature, and eigenvalues of Laplacian
10:15 - 10:45 Coffee break
10:45 - 11:30 Martinez-Maure : The Minkowski problem for hedgehogs
(Minkowski differences of convex bodies): uniqueness results
11:40 - 12:25 D.Burago, S.Ivanov : On Discretization in Riemannian Geometry
12:40 - 15:00 Lunch
15:00 - 15:40
Section A: Makai : The infimum of the volumes of convex polyhedra of any given facet areas is 0.
Section B: Honda : Ricci curvature and angles
15:40 - 16:00 Coffee break
16:00 - 17:55 Work in three sections A, B, C
Section A
16:00 - 16:25 Kitabeppu : Coarse Ricci curvature on metric measure spaces
16:30 - 16:55 Kuwae : On non-linear spectral gap for symmetric Markov chains with coarse Ricci curvature
17:00 - 17:25 Mitsuishi : Collapsing three-dimensional Alexandrov spaces
17:30 - 17:55 Yokota : On the filling radius of positively curved Alexandrov spaces
Section B
16:00 - 16:25 Mimura : Rigidity result related to mapping class groups
16:30 - 16:55 Masley : Two-generated groups of Mobius transformations: geometry and sufficient conditions for the discreteness
17:00 - 17:25 Gekhman : Dynamics of Convex-Cocompact Subgroups of Mapping Class Groups
17:30 - 17:55 Storozhuk : Occasionally attracting compact sets
Section C
16:00 - 16:25 Kordyukov : Classical and Quantum Dynamics on Orbifolds
16:30 - 16:55 Rovenski : Flows of metrics on a fiber bundle
17:00 - 17:25 N. Zhukova : The structure of conformal foliations
17:30 - 17:55 Medvedev : Conformal circles and the geometry of the 3rd order ODEs systems
9:30-10:15 Vesnin : Right-angled hyperbolic polyhedra
10:15 - 11:05 Coffee break
11:05 - 11:40 Izmestiev : Infinitesimal rigidity of convex surfaces: variational methods and duality
11:40 - 12:25 Berndt : Hyperpolar actions on noncompact symmetric spaces
12:40 - 15:00 Lunch
15:00 Guided tour round the city
9:30-10:15 Ohta : Ricci curvature in Finsler geometry and applications
10:15 - 10:45 Coffee break
10:45 - 11:30 Nikonorov: On Killing fields of constant length on Riemannian manifolds
11:40 - 12:25 Wilking: A generalization of Gromov's almost flat manifold theorem
12:40 - 15:00 Lunch
15:00 - 15:40 Work in two sections
Section A:
Sabitov : Two new classes of rigid polyhedra and their volume polynomials
in the spaces of constant curvature
Section B: Remy : Simple and non-simple groups acting on buildings, overview and open questions
15:40 - 16:00 Coffee break
16:00 - 17:55 Work in three sections A, B, C
Section A
16:00 - 16:25 Park : Aleksandrov problem in linear n-normed spaces
16:30 - 16:55 Kim : Inequalities in additive N-isometries on linear N-normed Banach spaces
17:00 - 17:25 Makeev : On pyramids in a three-dimensional normed space
17:30 - 17:55 Magazinov : Convex Hull of a Poisson Point Process in the Clifford Torus
Section B
16:00 - 16:25 Takatsu : Displacement convexity of generalized relative entropies
16:30 - 16:55 Xu : Almost Nilpotency of the fundamental groups of almost nonnegatively curved Alexandrov space
17:00 - 17:25 Kornev : Invariant Decomposable Almost Complex Structures on Homogeneous Spaces
17:30 - 17:55 Daurtseva : The space of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groups
Section C
16:00 - 16:25 Omori : On the existence of harmonic maps via exponentially harmonic maps
16:30 - 16:55 Fock : Minimal surfaces in hyperbolic space and hyperkaehler geometry
17:00 - 17:25 Savas Halilaj : The strong elliptic maximum principle for vector bundles and applications to minimal maps
17:30 - 17:55 Reyes : Nonlocal equations and equations of pseudo-spherical type, fluids and strings
18:30 Conference dinner
9:30-10:15 Sharafutdinov : Local audibility of a hyperbolic metric
10:15 - 10:45 Coffee break
10:45 - 11:30 Repovs : Topological properties of Busemann G-spaces
11:40 - 12:25 Vodopyanov, Basalaev : Rashevsky-Chow and Ball-Box theorems on Carnot manifolds with C^1-smooth vector fields
12:40 - 15:00 Lunch
15:00 - 15:40 Work in two sections
Section A: Goldshtein: About L_{q,p}-cohomology.
Section B: Mokhov : Compatible metrics and integrable systems
16:00 - 17:55 Work in three sections A, B, C
Section A
16:00 - 16:25 Arvanitoyeorgos : A method for the construction and solution of the Einstein equation on generalized flag manifolds
16:30 - 16:55 Selivanova : Metric geometry of nonregular weighted Carnot-Caratheodory spaces and applications
17:00 - 17:25 Gladunova : On Half Conformally Flat Lie Groups With Left-Invariant Riemannian Metrics
17:30 - 17:55 Oskorbin : Sectional Curvature Operator of the Conformally Flat Riemannian Manifolds
Section B
16:00 - 16:25 Fominykh : On the complexity of 3-manifolds
16:30 - 16:55 Mulazzani : On knots and links in lens spaces
17:00 - 17:25 Sullivan : Triangulations with restricted valence as spherical cone manifolds
17:30 - 17:55 Smirnov : Quasi-isometric invariants of the fundamental group of an orthogonal graph-manifold
Section C
16:00 - 16:25 Zamfirescu : Few Alexandrov surfaces are Riemann
16:30 - 16:55 V. Alexandrov : Continuous deformations of polyhedra that do not alter the dihedral angles
17:00 - 17:25 Golubyatnikov : Geometry of Phase Portraits of Nonlinear Dissipative Dynamical Systems
17:30 - 17:55 Kononenko : The slow surface in a problem of chemical kinetics