Seminar on low-dimensional mathmatics List of talks 2001: 1 * September 28: S.K.Lando (IUM, Moscow). Galois group acting on graphs. 2 * October 5: S.V.Duzhin (PDMI, SPb). A dozen low-dimensional problems 3 * October 12: O.Karpenkov (MSU-IUM, Moscow). Energy of a knot. 4 * October 19: Yu.V.Matiyasevich (PDMI, SPb). Some Probabilistic Restatements of the Four Color Conjecture. 5 * October 26: S.Orevkov (MIAN, Moscow -- Toulouse, France). Recent results on Hilbert's 16th Problem. 6 * November 2: V.Makeev (SPb University). Inscribed and circumscribed polyhedra and sections of convex bodies. 7 * November 9: E.B.Vinberg (MSU-IITP, Moscow). On largeness of hyperbolic discrete groups 8 * November 16: G.Panina (IIAS, SPb). Virtual polytopes and some classical problems of geometry. 9 * November 23: G.Mikhalkin (PDMI, SPb and Univ. of Utah, USA). Algebraic varieties and their amoebas. 10 * November 30: A.S.Gasparyan (Pereslavl-Zalessky). A generalization of A.D.Alexandrov's inequality about mixed discriminants of quadratic forms. 11 * December 7th: A.B.Sossinsky (IUM, Moscow). Could the Poincare Conjecture be false? 12 * December 14th: I.S.Krasilschik (IUM, Moscow). Geometry of differential equations and their algebraic invariants. 13 * December 21st: A.M.Vershik (PDMI, SPb). Universality and Universal Objects (Urysohn's Space, Hall's Group, Erd\os' Graph). 2002: 14 * March 8: A.Nazarov (St.Petersburg). Several one-dimensional variational problems. 15 * March 15: G.Litvinov (Moscow). Integral Geometry and hypergroups. 16 * March 22: A.Malyutin (St.Petersburg). The action of mapping class groups on one-dimensional manifolds. 17 * March 29: M.Kazarian (Moscow). Multisingularities and cobordisms. 18 * April 5: Yu.S.Ilyashenko (Moscow). Centennial history of Hilbert's sixteenth problem. 19 * April 12: T.Panov (Moscow). Combinatorial aspects of torus actions. 20 * April 26: B.Kruglikov (Tromso, Norway). Mayer brackets and solvablity of scalar PDEs. 21 * May 10: A.Skopenkov (Moscow). Knotted tori. 22 * May 17: P.Svetlov (SPb). Difference equations on graphs and geometry of 3-manifolds. 23 * May 24: E.Kudryavtseva (Moscow), D.Gonsalves (Sao-Paolo), H.Zieschang (Bochum). On the homotopy intersection index of curves on surfaces. 24 * June 7: I.Itenberg (Rennes). Around the Ragsdale conjecture. 25 * June 14: V.A.Yumaguzhin (Pereslavl-Zalessky). On the classification of linear ordinary differential equations. 26 * June 21: S.Chmutov (Ohio State). Knots and plane immersed curves. 27 * August 23: J.-P.Brasselet (Marseille). Toric varieties and singularities. 28 * October 4: G.Mikhalkin (SPb--SLC). Gromov-Witten invariants and lattice paths in polygons. 29 * October 11: V.Sedykh (Moscow). Topology of corank 1 singularities of a generic wave front. 30 * October 18: D.Siersma (Utrecht). Minimal Round Functions on Low-Dimensional Manifolds. 31 * October 25: P.Pushkar' (Moscow). Invariants of Legendrian knots and Arnold's conjecture about four cusps. 32 * November 1: S.Duzhin. Several low-dimensional problems. 33 * November 8: S.Lando (Moscow). Ramified coverings of the sphere and the geometry of moduli spaces of curves. 34 * November 15: A.Nazarov (St.Petersburg). Non-uniqueness of Solutions to the Reaction-Diffusion Equation in a Spherical Layer, or Why is 3-Space so Special? 35 * November 22: V.Fock (SPb--Moscow). Generalized Teichmuller spaces. 36 * November 29: A.Khovanskii (Moscow--Toronto). Multidimensional topological version of Galois theory. 37 * December 6: V.Kalnitski (SPb). Generalized Lagrange's equation: solvability and properties of solutions. 38 * December 13: S.Duzhin (SPb). Kontsevich's integral and identities for infinite series. 39 * December 20: S.Gusein-Zade (Moscow). Exponential functions of algebraic varieties. 40 * December 30: O.Viro (SPb--Uppsala). Tropical geometries. 2003: 41 * February 7: G.Khimshiashvili (Tbilisi--Lodz). Low-dimensional fibers of real polynomial mappings. 42 * February 14: A.Inshakov (Moscow). Manifolds of secants of projective algebraic varieties. 43 * February 28: Guy Roos (St.Petersburg). Generalization of an integral of Hua Loo-keng. 44 * March 7: N.Vasiliev (St.Petersburg). Monomial orderings and Groebner walk. 45 * March 14: David Bessis (Lyon-Moscow). Presentations for braid groups of complex reflection groups. 46 * March 21: Vitaly Tarasov (St.Petersburg). Selberg type integrals associated with the Lie algebra $sl_3$. 47 * March 28: G.Litvinov (Moscow). Dequantization of mathematics. 48 * April 4: M.Vinogradov (Moscow). Algebraic differential calculus over modules and dioles. 49 * April 11: Gayane Panina (SPb). An old conjecture on the characterization of a sphere. 50 * April 18: Oleg Musin (Moscow). Kissing number in dimension 4. 51 * April 25: S.Mechveliani (Pereslavl-Zalessky). Automatic proof using induction and the algebra of equalities. 52 * May 28 Vladlen Timorin (Moscow--Toronto). Circles, Quadratic Maps Between Spheres and Representations of Clifford Algebras. 53 * June 6: V.Malyshev (Rybinsk). Periods of quadratic irrationalities and torsion of elliptic curves. 54 * June 13: V.Fock (Moscow--SPb--USA). Pentagon and dilogarithm. 55 * June 20: V.Turchin (Moscow). (Co)homology of the space of knots. 56 * June 27: P.Pushkar' (Moscow). Morse theory on manifolds with boundary. 57 * July 4: P.Etingof (Massachusets). Double affine Hecke algebras of rank 1 and affine cubic surfaces. 58 * July 11: P.Bressler (Arizona). Combinatorics of polytopes and Goreski--McPherson cohomology. 59 * July 25: G.Ziegler (TU-Berlin). f-vectors of 3-spheres and 4-polytopes. 60 * September 5: V.Chernov (Dartmouth). Affine linking numbers and their application to the study of front propagations. 61 * September 12: I.A.Pushkar' (Moscow). Complex analysis and elementary geometry. 62 * September 19: G.Khimshiashvili (in statu movendi). Quaternions in some problems of low-dimensional geometry. 63 * December 19: V.Alexandrov (Novosibirsk). Flexible polytopes: achievements and open problems. 64 * December 25: M.Anzin (Moscow). New results on lattices and sphere packings. 2004: 65 * January 9, 2004: D.A.Timashev (Moscow). Complexity of homogeneous spaces and growth of multiplicities of irreducible representations. 66 * January 16, 2004: A.Nazarov and A.Vakulenko (SPb). Solution of two low-dimensional problems. 67 * January 23, 2004: V.Sokolov (Moscow). Direct sum decomposition of the current algebra over so(3) and integrable tops. 68 * January 30, 2004: Guy Roos (SPb). Compactification and volume of bounded symmetric domains. 69 * February 13, 2004: P.Zograf (SPb). On the number of Hamiltonian cycles in graphs. 70 * April 16, 2004: S.Duzhin (SPb). On the ratio of two particular solutions of a certain ordinary differential equation. 71 * April 23, 2004: S.Lando (Moscow). Applications of global theory of singularities to intersection theory of Hurwitz spaces and universal polynomials. 72 * April 30, 2004: A.Malyutin (SPb). Pseucharacters of braid groups. 73 * Mat 6, 2004: Florent Hivert (Universit\'e Marne-la-Vall\'ee). Computer aided research in combinatorics with MuPAD-Combinat 74 * June 18, 2004: Yu.Bilu (Bordeaux). Diophantine equations with separated variables. 75 * June 25, 2004: V.Lychagin (Tromso). Integrability and compatibility of partial differential equations. 76 * July 2, 2004: Susumu Tanabe (IUM, Moscow). Generalized hypergeometric functions related to complete intersections. 77 * September 3, 2004: S.Finashin (Turkey). Topology of surfaces in four-dimensional manifolds. 78 * September 10, 2004: G.Panina (SPb). On A.D.Alexandrov's conjecture, hyperbolic polytopes and hyperbolic fans. 79 * September 24, 2004: V.Fock (Moscow--SPb). Cluster structure for Lie groups. 80 * October 1, 2004: P.Svetlov (SPb). Skein relations in dimension 3/2. 81 * October 15, 2004: A.Malyutin (SPb). Destabilization in braid groups. 82 * October 29, 2004: Guy Roos (SPb). Invariant metrics on bounded complex domains. 83 * November 5, 2004: A.Nazarov (SPb). Random processes and whatnot. 84 * December 3, 2004: N.Markaryan (Orel). Generalized Duflo formula. 85 * December 17, 2004: D.Kaledin (Moscow). Quantization in characteristic p. 86 * December 24, 2004: I.Izmestiev (Berlin). On the hull numbers of torus links. 2005: 87 * March 4, 2005: D.Zvonkine (Paris). Generating functions for the enumeration of branch coverings of the sphere. 88 * March 18, 2005: M.Prokhorova (Ekaterinburg). Factorization of nonlinear parabolic equations. 89 * March 25, 2005: S.Buyalo (St.Petersburg). Cross ratio, Moebius and quasi-Moebius maps. 90 * April 8, 2005: A.Kushner (Astrakhan--Moscow). Symplectic invariants and a classification of Monge-Ampere equations. 91 * April 15, 2005: A.Malyutin (SPb). A generalization of the Poincare theorem about homeomorphisms of a circle. 92 * April 22, 2005: A.Esterov (Moscow). Newton diagrams, Poincare-Hopf indices, and resultants. 93 * May 6, 2005: A.Khoroshkin (Moscow). A Klyachko formula for the operad with two commuting Lie brackets. 94 * May 20, 2005: F.Duzhin (Moscow). Periodic trajectories of generalized billiards. 95 * June 3, 2005: M.Babich. Correspondence between ordinary differential equations and Hamiltonian systems. 96 * June 10, 2005: V.Fock. Cluster varieties, 3D topology and number fields. 97 * June 17, 2005: S.Duzhin. Detecting link orientation by finite type invariants. 98 * June 24, 2005: A.A.Makhnev (Ekaterinburg). Automorphisms of distance regular graphs. 99 * September 2, 2005: D.Panov (Europe). Polyhedral Kaeler manifolds. 100 * September 9, 2005: V.Chernov (Dartmouth, US). Relative framings of transverse knots. 101 * September 16, 2005: V.Manturov (Moscow). Vassiliev's conjecture on planarity of singular links and finite-type invariants. 102 * September 23, 2005: N.Yu.Netsvetaev (SPb). The cube conjecture and a non-integrable analogue of the Dvoretsky theorem. 103 * October 7, 2005: V.Fock (ITEP, Moscow). Combinatorics of cluster varieties. 104 * October 14, 2005: R.Uribe-Vargas (Paris-Moscow). Topology of Dynamical Systems in Finite Groups and Number Theory. 105 * October 28, 2005: V.Poberezhnyi (ITEP, Moscow). Fuchsian systems, Riemann-Hilbert problem, isomonodromian deformations and Painleve equations. 106 * November 11, 2005: S.Duzhin (SPb). Categorification of the chromatic polynomial (review). 107 * November 25, 2005: M.Balazard (Bordeaux--Moscou). On the distance between adjacent prime numbers. 108 * December 9, 2005: M.Gavrilovich (SPb--Oxford). Homotopical approach to some arithmetical questions. 109 * December 26, 2005: M.Skopina (SPb). Construction of wavelet systems and the problem of Serre. 2006: 110 * February 17, 2006: Jacob Mostovoy (Mexico). Generalized crossing changes and Vassiliev invariants. 111 * February 24, 2006: Andrei Malyutin (SPb, PDMI). On the structure of the Markov graph of a knot. 112 * March 3, 2006: Maxim Vsemirnov (SPb, PDMI). Is the group SL(6,Z) (2,3)-generated? 113 * March 10, 2006: Vladimir Nezhinzkij (SPb, SPbPU). Higher-dimensional analog of Goussarov's knot theory. 114 * March 17, 2006: Gaiane Panina (SPb). On non-isotopic saddle surfaces. 115 * March 24, 2006: Yves Laszlo (Paris). Representations of the fundamental groups of algebraic curves in positive characteristic. 116 * March 31, 2006: Sergei Anisov (Utrecht). Combinatorics of cut loci in lens manifolds. 117 * April 21, 2006: Dmitry Zaporozhets (PDMI). On the roots of a random polynomial. 118 * April 28, 2006: Evgeny Stepanov (ITMO). Optimal irrigation and one-dimensional transport networks: a geometric approach. 119 * May 12, 2006: Misha Verbitsky (Moscow). Sasakian manifolds. 120 * May 19, 2006: Andrei Losev (Moscow). The language of Batalin--Vilkovisky and a new understanding of symmetry. 121 * June 2, 2006: V.Meshkov, A.M.Omelchenko (SPb). On twice periodic structures and knot invariants. 122 * June 16, 2006: P.Svetlov, T.Bereznyak (POMI). A new estimate for the distortion of a knotted curve. 123 * June 19, 2006: H.Gluck (UPenn). The Full Converse to the Four Vertex Theorem. 124 * July 7, 2006: Vasilisa Shramchenko (Concordia, Canada). Frobenius structures on Hurwitz spaces. 125 * November 17, 2006: Maxim Karev (PDMI). Tic-tac-toe, or Combinatorial Floer homology 126 * November 24, 2006: Emil Akhmedov (ITEP). Exponentiation of cubical matrices. 127 * December 1, 2006: Pavel Mnev (PDMI). Computation of action in simplicial BF theory. 128 * December 15, 2006: Katia Amerik (Paris--Moscow). Regular and rational maps between complex projective varieties. 129 * December 22, 2006: Alexander Chervov (ITEP). Quantum integrable systems, quantum spectral curves and Langlands correspondence. 130 * December 29, 2006: Mark Rudelson (University of Missouri-Columbia). Singular values of a random matrix and applications to convexity. 2007: 131 * January 12, 2007: A.L.Smirnov (PDMI). An excursion to the Arakelov geometry. 132 * Febuary 23, 2007: G.Panina. Universality theorem for 4-polytopes. 133 * March 2, 2007: S.V.Duzhin. Formulas on napkins. 134 * March 9, 2007: N.Markarian. Non-Abelian Hodge theory. 135 * March 16, 2007: T.Kojima (Tokyo). The Integrals of Motion for the Deformed W-algebra. 136 * March 23, 2007: A.Kustarev (Moscow). Thom polynomials of singularities, ramified coverings and cobordisms. 137 * April 13, 2007: M.Karev. Floer homology of an extended link. 138 * April 20, 2007: A.Smirnov. Excursion to the Arakelov geometry (continued). 139 * October 12, 2007: M.Knyazeva. A new example of a hyperbolic polytope. N.Kalinin. Exotic smooth structures. 140 * October 17, 2007: V.Guba (Vologda). Groups of diagrams. 141 * November 2, 2007: G.Khimshiashvili. Holomorphic curves in loop spaces. 142 * December 28, 2007: F.Duzhin (Singapore). Braids and homotopy groups of spheres. 2008: 143 * February 22, 2008: S.V.Ivanov. Rafimied foliations and their applications. 144 * March 14, 2008: S.V.Duzhin. A summary of Arnold's problems--2008. 145 * April 11, 2008: S.Arkhipov (Toronto). A finite-dimensional contsruction of a canonical gerbe on a complex Lie group. 146 * April 24, 2008: D.Zvonkine (Paris-Moscow). Embedded graphs and spiders. 147 * July 4, 2008: Ileana Streinu (Smith College, USA). Recent results in Combinatorial Rigidity Theory. 148 * July 11, 2008: Ciprian Borcea (Rider University, USA). Tangents to spheres and transversals to balls. 149 * August 1, 2008: Oleg R. Musin (Moscow--USA). Spherical two-distance sets. 150 * August 22, 2008: Oleg Karpenkov (Moscow--Leiden). Lattice trigonometry. 151 * September 12, 2008: Ilya Vyugin (Moscow). Inverse monodromy problems and holomorphic bundles with connection. 152 * November 7, 2008: Sergei Galtsev (Moscow). Complex Lagrangian manifolds and Stokes lines. 153 * November 14, 2008: Giorgi Khimshiashvili (Tbilisi). Special configurations of plane linkages. 154 * November 28, 2008: Pavel Mnev. Invariants of manifolds from the effective action for the Chern-Simons theory. 155 * December 5, 2008: Grigory Mikhalkin (Geneva). Realizability of tropical objects. 2009: 156 * March 6, 2009: Evg.Gorsky (Moscow). Motivic Poincare series and knot invariants. 157 * March 13, 2009: Andrei Malyutin. On geodesics on hyperbolic surfaces. 158 * March 27, 2009: Evgeny Smirnov. Mupltiple flag varieties. 159 * April 10, 2009: Mark Spivakovsky (Toulouze). Pierce--Birkhoff conjecture. 160 * April 17, 2009: Alexander Gaifullin. Local combinatorial formulae for the Pontrjagin classes of triangulated manifolds. 161 * April 24, 2009: Vassily Golyshev. Prototypes and the "polynomial Riemann's hypothesis". 162 * June 26, 2009: Oleg Musin. Strict problem of 13 balls. 163 * October 2, 2009: S.Duzhin. Short circuit closure, Conway polynomial and Drinfeld associator. 164 * November 13, 2009: N.Vavilov. Monoid of seeweeds. 165 * November 20, 2009: S.Soloviev (Touluse). Categorical interpretation of logical inference with applications in algebra. 166 * December 4, 2009: M.Vsemirnov. Diophantine coding and generalized Cantor polynomials. 167 * December 25, 2009: V.Fock. Geometric quantization of cluster manifolds. 2010: 168 * January 4, 2010: V.Fock. Geometric quantization of cluster manifolds (continued). 169 * January 8, 2010: M.Vsemirnov. Diophantine coding and generalized Cantor polynomials (continued). 170 * May 14, 2010: S.Duzhin. A formula of M.Shkolnikov for the HOMFLY polynomial of rational links. 171 * June 11, 2010: O.Musin. Four-vertex theorems for polygons and polyhedra. 172 * June 18, 2010: Vladimir Chernov (Dartmouth, USA). Refocussing and $\tilde Y^x$-manifolds. 173 * July 30, 2010: Dmitry Beliaev (Princeton, USA). Lattice models and Schramm-Loewner equation (SLE) 174 * September 3, 2010: Andrei Kustarev (Moscow). Almost complex quasitoric varieties. 175 * September 24, 2010: Alexander Kuznetsov (Moscow). Derived categories of 4-dimensional cubics and their rationality. 2011: 176 * April 13, 2011: Mikhail Skopenkov (Moscow). When is the set of (p1,..,pr,m)-links finite? 177 * May 4, 2011: Fedor Petrov (PDMI). Characters of countable permutation groups. 178 * June 17, 2011. Sergei Duzhin (PDMI). Bipartite graphs, perfect matchings and Conway polynomial. 179 * December 30, 2011. S.Duzhin, M.Shkolnikov. On some skein relations. 2013: 180 * October 25, 2013. M.Karev. Matroids, graphs and vector spaces. 181 * November 1, 2013. Pavel Mnev. Chern-Simons theory on 3-manifolds with boundary. 182 * November 15, 2013. N.E Mnev. Cobminatorics of fiber bundles with fiber an oriented circle. 183 * November 22, 2013. M.Karev. Expression of double Hurwitz numbers through Gauss type integrals. 184 * December 13, 2013. Evg.Smirnov (Moscow). Plane curves and L-spaces. 185 * December 20, 2013. A.Smolensky (SPbGU). Expansion and bounded generation in linear groups. 2014: 186 * January 3, 2014. V.Fock (Strasbourg-Moscow-Komarovo). Discrete Dirac operator and integrable systems. 187 * January 17, 2014. M.Karev. Gauss type integrals and Hurwitz numbers. 188 * March 14, 2014. B.Brychkov (HSE). On the number of ramified coverings of a sphere with ramification over fixed points. 189 * April 11, 2014. Ivan Panin (PDMI). On a conjecture of Colliot-The'l`ene concerning quadratic spaces. 190 * September 12, 2014. A.L.Smirnov (PDMI). Three-dimensional view on number theory.