| UNIVERSITY OF CAMBRIDGE Isaac Newton Institute for Mathematical Sciences 20 Clarkson Road, Cambridge, CB3 0EH, U.K. Telephone: (1223) 335999 Fax: (1223) 330508 e-mail: info@newton.cam.ac.uk |
SEMINAR LIST
(for period 17/07/2000 to 06/07/2001)
| Welcome | |
| Introduction | |
| Discussion on eating, drinking, etc | |
| Discussion on chocolate and sticky food | |
| Level set methods | |
| Discussion on bubbles in baked systems | |
| Discussion on gel extrusion in tubes and sheets, manufacture of chewy sweets, dough mixing and flaking in cereals manufacture | |
| Gas layers in extrusion | |
| Thermomechanical effects and plastics | |
| Bolus (GOB) formation | |
| Free boundary problems in RHM | |
| Extrusion and granular flow | |
| Differential scanning calorimetry | |
| Growth of bubbles in sticky materials | |
| Two-phase squeeze films | |
| Continued Discussions | |
| Fracture of porous media | |
| Rheologically complex fluids | |
| Level-set and other numerical methods | |
| Presentation | |
| Presentation | |
| Presentation | |
| Foams, sponges and crust formation | |
| Sticky contacts | |
| Continued discussions | |
| Chocolate extrusion: airgaps and iternal structure | |
| Crust, foam, sponge and phase changes | |
| Flaking and gel drawdown | |
| Coating | |
| Other (organic) discussion | |
| Wind up session of study groups | |
| Review sessions | |
| Discussion on bottle manufacture | |
| Discussion on thin sheets | |
| Discussion on the glass industry | |
| Discussion on the glass industry | |
| Discussion on numerical methods | |
| Flux/foam modelling | |
| Refractory corrosion | |
| Radiation problems | |
| Numerical methods | |
| Fictive temperature | |
| Radiatic problems | |
| Summing up of the day's activities | |
| Optimum inlet mould design | |
| Toughened glass fracture | |
| Visco-elastic buckling | |
| Gob deformation | |
| Lens moulding | |
| Condensation and weathering | |
| Windscreen sag and lift-off | |
| Stick-slip and rippling | |
| Foam mechanics | |
| Summing up of the day's activities | |
| Multifibre drawing | |
| St Gobain problems | |
| Optimal stirrers | |
| Visco-elastic buckling will be revisited | |
| Rippling/stick-slip will be revisited | |
| Wind up session of study groups | |
| Continuation of wind up session | |
| Discussion on aluminium reduction | |
| Discussion on microsegregation | |
| Discussion on casting, including high pressure die casting | |
| Discussion on control of inverse problems | |
| Solidification and microstructure in the steel and aluminium industries | |
| MHD flows, instabilities, dome shaping | |
| Spray forming | |
| Sloshing and ledges in aluminium reduction | |
| Ternary allot solidification | |
| Spray forming | |
| Sloshing and ledges in aluminium reduction | |
| Ternary allot solidification | |
| Summing up of the day's activities | |
| Aspects of aluminium casting | |
| Coke ovens | |
| Hot tearing | |
| Freckles | |
| Butt curl | |
| Summing up of the day's activities | |
| Electrode damage and fracture | |
| Exudation and periodic segregation | |
| Coherency, Davidson paradox | |
| Level set methods | |
| Numerical modelling of hot rolling and other topics left over from Wednesday | |
| Wind up session | |
| More wind up and post mortem | |
| Self amplification of velocity derivitives in turbulent flows | |
| Vortices and magnetic field lines in classical fluids | |
| Topological invariants of affine plane curves | |
| Models of fibers, $\gamma*$-sequences, equi-singularity and vanishing cycles | |
| Open discussions: Zeta functions, local and global, old and new results | |
| Absence of vanishing cycles | |
| Fundamental group of tame torus sextics and some remarks | |
| Kontsevich integral of toric knots | |
| Open discussions: Geometric vanishing cycles at infinity and related Picard-Lefschetz formulas | |
| Le numbers and singularities at infinity | |
| Integration with respect to the Euler characteristic over the space of functions and the Alexander polynomial of a plane curve singularity | |
| The singular scheme of foliations on the projective plane | |
| A$_{k}$-singularities for curves of a given degree | |
| Open discussions: Problems and conjectures on polynomial and meromorphic maps | |
| SGT Seminar | |
| Superfluid versus "ordinary" turbulence | |
| Vortices in quantum systems, lessons from the first principles | |
| Vortex nucleation and the NLSE model | |
| Configuration spaces and degrees of mappings | |
| Programme Discussion with the Semester Participants | |
| Ultra high turbulent convection | |
| Scenario of decay of superfluid turbulence at T=0 | |
| Topology and singularities of geodesically equivalent metrics | |
| The geometry of the medial axis | |
| tba | |
| On embedded Morse theory for real and complex analytic spaces | |
| Towards lower bounds for S. Matveev complexity of 3-manifolds | |
| On vertices of a submanifold in Euclidean space | |
| Finite type invariants of 3-manifolds | |
| Classification and topology of map-germs C$^{n}$ \mapsto C$^{p}$ (n$<$p) of corank 1 and A$_{e}$ codimension 1 | |
| Discussion Meeting | |
| Linear and nonlinear instability for ideal fluids | |
| Geometric structure of turbulent flow fields | |
| Lagrange mappings of the open Whitney umbrella | |
| Versality theorem for non-linear subspaces of map-germs | |
| Special Seminar The geometry of ``elementary vortices" in turbulence | |
| SGT Seminar | |
| Special Seminar Covering spaces and differential forms | |
| Blowing-up surface singularities | |
| Special Seminar Hugoniot-Maslov chains, solitary vortices and typhons' trajectories | |
| Special Seminar | |
| Integral curves in contact 3-space and their Cartau prolongations | |
| SGT Seminar | |
| Introduction to Frobenius manifolds | |
| Legendrian properties of conflict sets | |
| Lectures on Frobenius manifolds | |
| Tutorial on knot theory | |
| Nonlinear geostrophic adjustment, fronts and frontogenesis | |
| The search for a metric in compressible flows | |
| Spiral windup in two-dimensional vortices | |
| Geometry and dynamics for a nematic liquid crystal in a shear flow | |
| TBA | |
| A continuation of Professor Dubrovin's lectures on Frobenius manifolds | |
| Angular momentum, turbulence, and the Geodynamo | |
| A continuation of Professor Dubrovin's lectures on Frobenius manifolds | |
| A model of flapping flight in 2D using a discrete vortex method | |
| A continuation of Professor Dubrovin's lectures on Frobenius manifolds | |
| Vortex sheet and boundary layer singularities | |
| Tutorial on knot theory (cont) | |
| A continuation of Professor Dubrovin's lectures on Frobenius manifolds | |
| Helical flows applied to haemodynamics | |
| A continuation of Professor Dubrovin's lectures on Frobenius manifolds | |
| Frobenius manifolds and singularities | |
| Tutorial on differential geometry | |
| Curves on surface singularities | |
| Breaking of vortex lines - a new mechanism of collapse in hydrodynamics | |
| Weak solutions of the incompressible Euler equations | |
| Frobenius manifolds and singularities | |
| Weak solutions of incompressible Euler equations II | |
| The Cauchy problem for an integrable shallow water equation | |
| Tutorial on differential geometry III | |
| A tutorial on current sheets | |
| Contact topology and Beltrami fields | |
| Ramified integrals | |
| Hurwitz spaces and Hodge integrals | |
| Vortex knots and tangles | |
| Ramified integrals | |
| Tutorial on differential geometry IV | |
| Ramified integrals | |
| Dynamo action in flows driven by shear and convection | |
| Hurwitz spaces and Hodge integrals | |
| Multi-dimensional Burgers equation and dynamical systems | |
| Approximate geodesics on groups of volume preserving maps | |
| Stagnation points in point vortex flow and the topology of vortex breakdown | |
| Ramified integrals | |
| Vortex statics | |
| Ramified integrals | |
| Non-commutative instantons and Hilbert schemes | |
| Tutorial on differential geometry V | |
| Ramified integrals | |
| The influence of a vortex on magnetic fields and passive scalars | |
| Tutorial on Morse theory | |
| Vortex motion in superfluids | |
| On the classification of hyperbolic root systems | |
| "Modelling fluids with the Euler-Poncare' approach I" | |
| Superconductivity equation as geodesic equation; stability | |
| Dynamics of the automorphism group of a K3 surface | |
| Formation of isolated singularities in ideal MHD | |
| "Modelling fluids with the Euler-Poncare' approach II" | |
| Singularities of hyperbolic Gauss maps | |
| On some interesting aspects in"Perestroikas" of space curves | |
| Ergodic theory in fluid mechanics | |
| Vortex charge, potential vorticity, helicity and superhelicity and their counterparts in electrodynamics | |
| Modelling fluids with the Euler-Poincare' approach III | |
| On the topology of singularities with critical locus of dimension 3 | |
| Modelling fluids with the Euler-Poincare' approach IV | |
| Alexander polnomial and Poincare' series for reduced plane curve singularities | |
| A class of Leray's self-similar solutions | |
| Riemannian geometry of fluid dynamical systems and instability analysis | |
| Dual differential geometry on the Gaussian distributions and principal component flows | |
| Chaotic advection in 3-d flows | |
| Vassiliev-type invariants of ornaments | |
| Thom polynomials for quivers | |
| Summing power series for fluid mechanical and other problems | |
| Is turbulence a symmetric or a chaotic state? | |
| Transport by coherent vortices | |
| Topology in 5 days | |
| Combinatorial patchworking of maximal real algebraic varieties | |
| Geophysical vortices and turbulence I | |
| Commutativity & associativity equations versus factorizable maps to cohomologies of special moduli spaces ($L_n$ and $\bar{M}_{O,n}$ resp) | |
| Hodge-like construction of factorizable map to cohomologies of $L_n$ | |
| Simple singularities of multigerms of curves | |
| Topology in 5 days | |
| Betty number densities of lower values sets of quasiperiodic functions | |
| Construction of multipolar equilibria of the 2d Euler equation | |
| K Saito's theory of the primitive form as a reflection of the Hodge- like construction | |
| Pencils of plane curves ``at infinity", cones of curves and Mordell- Weil groups | |
| Topology in 5 days | |
| Geophysical vortices and turbulence II | |
| Singularities in optimal synthesis | |
| Topology in 5 days | |
| Relative Morse inequalities | |
| Magnetic relaxation via reconnection in a highly conducting fluid | |
| Vassiliev-type invariants of stable maps from a surface into 2-plane | |
| Towards a theory of Puiseaux exponents for higher dimensional singularities | |
| Geometry of higher order differential equations of finite type associated with symmetric spaces | |
| Classification of families of equidistants from ellipsoids | |
| Topology in 5 days | |
| Toric geometry and valuations | |
| On the origin of helical flow structures | |
| Cohen-Macaulay modules over cusp singularities | |
| Towards lower bounds for Matveev complexity | |
| Stochastic differential geometry approach to the Navioer-Stokes and kinematic dynamo equations | |
| Applications of Nielsen-Thurston's theory to statics and dynamics of 2d liquid crystalline solutions | |
| Transient growth (and breakdown) in three-dimensional boundary layers | |
| Multicellular states in a rotating flow | |
| Refining the symmetric function space and the Macdonald positivity conjecture | |
| Crystal basis and generalised Kostka polynominals | |
| Bad upward elements in Coxeter groups | |
| Polar decomposition of vector-valued functions and applications | |
| An area - Dirichlet minimisation problem | |
| Multiple hypergeometric sums related to non-reduced root systems | |
| Determining decomposition numbers for distant Weyl modules | |
| (q, t) - operations in $\beta$-rings? | |
| Quasisteady phase field model and gradient flows of marginal functions | |
| Periodic Bernoulli free-boundry problems in the plane | |
| Integrable systems on CP(n) and Macdonald polynomials | |
| The algebra of MacMahon symmetric functions | |
| 24 definitions of Kostka-Foulkes polynomials | |
| Monotonicity properties of optimal transportation and the correlation inequalities | |
| Convergence to equilibrium for hyperbolic equations and related problems | |
| Existence and blow-up for higher-order semilinear parabolic equations via majorizing order-preserving operators | |
| Large coupling limit of a class of nonlinear self-interacting field equations | |
| Potential-theoretic estimates for semi-linear elliptic equations | |
| Homology of certain truncated Lie algebras | |
| Glaisher's bijection | |
| Remarks on expanding and shrinking flows | |
| Geodesic motion and the Einstein-semi-linear-wave system | |
| On a class of operators of Kolmogorov-Fokker-Planck type | |
| Separation of variables in Jack and Macdonald polynomials | |
| New results on evolution of surfaces | |
| Ricci flow on Ka"hler manifolds | |
| Kronecker products and an RSK-correspondence for 3-dimensional groups | |
| A new notion of transitivity for groups | |
| Hyperbolic conservation laws in several space dimensions with applications to elastodynamics | |
| Analysis on the curvature of hypersurfaces, old and new problems | |
| Towards a Schubert calculus for complex reflection groups | |
| On the limits of minimizers of a variational problem | |
| Combinatorial models for Weyl characters, II: practice | |
| Variations of Lagrangian sub-manifolds | |
| Ga"rdings theory of hyperbolic polynomials and its applications in NPDE | |
| Singularly perturbed elliptic operators with oscillating coefficients and related problems | |
| Macdonald polynomials and algebraic integrability | |
| Asymptotic profile of singularities for mean convex surfaces evolving by mean curvature flow | |
| A correspondence between 3-dimensional matrices and triples of tableaux | |
| On the mass transportation problem | |
| Locating the peaks of solutions to Elliptic Neumann problems via the maximum principle | |
| Orthogonal and biorthogonal polynomials related with rational Dunkl operators | |
| Convex hypersurfaces with prescribed curvature | |
| Decomposition numbers and Jantzen-Schaper coefficients for two part partitions | |
| 321-avoiding permutations in affine Weyl groups | |
| Difference Bessel-Jackson operators on a family of non-commutative Lobachevsky space | |
| On representation types of the Hecke algebra of type B | |
| Complex reflection groups of type B and non-symmetric Jack polynomials | |
| An introduction to cluster algebras | |
| Yang-Baxter relations and Macdonald polynomials | |
| Convergence of Monge-Ampe're measures | |
| On interpolation between some real and p-adic Hecke algebras | |
| A duality between standard simplices and Stasheff polytopes | |
| An introduction to Hilbert schemes and the $n!$ conjecture I | |
| The Hodge theorem and Ramanujan sums | |
| An introduction to Hilbert schemes and the $n!$ conjecture II | |
| Locally rank-symmetric posets and local actions of the symmetric group | |
| A form of Alexandrov-Fenchel inequality | |
| Prime power degrees and zeros of characters | |
| TBA | |
| On the Frobenius rank of a skew Young diagram | |
| Reaction-diffusion: from (some) systems to nonlocal equations | |
| On the curve shortening problem by surface diffusion | |
| Blocks of cyclotomic Hecke algebras | |
| The moduli space of quartic curves | |
| Non-commutative symmetric functions with two parameters | |
| The Laurent phenomenon | |
| Multiple solutions for a problem with infinite boundary data | |
| Proof of the strong Macdonald conjecture:the details I LECTURE ROOM 5, CENTRE FOR MATHEMATICAL SCIENCE | |
| Proof of the strong Macdonald conjecture:the details II LECTURE ROOM 5, CENTRE FOR MATHEMATICAL SCIENCE | |
| Anti eigenvalues for non-cooperative systems | |
| Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties | |
| Frobenius splitting of Hilbert schemes of points on surfaces | |
| TBA | |
| Real analyticity and nonlinear problems | |
| Jack polynominals | |
| Special functions associated with the quantum dynamical Yang-Baxter equation | |
| Combinatorial formulae for certain Kazhdan-Lusztig polynomials of affine type A | |
| Homogeneous superspaces and some super analogues of symmetric functions | |
| Addition, multiplication and quantization | |
| Bubbling solutions to a critical Neumann problem: boundary versus interior | |
| The geometry of Ka"hler-Ricci solitons | |
| The q-deformed algebra U$_q$(so(n)) related to the Macdonald symmetric polynomials: structure, representations and q-harnomic polynomials | |
| Representations of the symmetric group on the homology of matching complexes | |
| Dual free boundary problems for water waves | |
| Invariant polynomials on Jordan algebras and their Segal-Bargmann spherical transforms | |
| Some conjectures and results for non-semisimple Brauer algebras | |
| Schur Q-functions and twisted affine Lie algebras | |
| Symmetry breaking solutions of the Ginzburg-Landau equation | |
| On graded characters of Demazure modules - some questions | |
| Schur-Weyl duality and decomposition numbers | |
| Eqivariant Schubert calculus | |
| Spectral calculations via Llyapunov-Schmidt reduction and the Morse index of spike solutions. | |
| Moduli spaces of gauge vortices Geometry and Physics | |
| Uniqueness of multiple spikes for singularly perturbed Neumann problems in a ball via the method of moving plane | |