Boucetta, M 2002 2002 Riemann Poisson manifolds were introduced by the author in [1] and studied in more details in [2]. K\"ahler-Riemann foliations form an interesting subset of the Riemannian foliations with remarkable properties (see [3]). In this paper we will show that to give a regular Riemann Poisson structure on a manifold $M$ is equivalent to to give a K\"ahler-Riemann foliation on $M$ such that the leafwise symplectic form is invariant with respect to all local foliate perpendicular vector fields. We show also that the sum of the vector space of leafwise cohomology and the vector space of basic forms is a subspace of the space of Poisson cohomology. Aldrovandi, E 2002 2002 Metrics of constant negative curvature on a compact Riemann surface are critical points of the Liouville action functional, which in recent constructions is rigorously defined as a class in a Cech-de Rham complex with respect to a suitable covering of the surface. We show that this class is the square of the metrized holomorphic tangent bundle in hermitian-holomorphic Deligne cohomology. We achieve this by introducing a different version of the hermitian-holomorphic Deligne complex which is nevertheless quasi-isomorphic to the one introduced by Brylinski in his construction of Quillen line bundles. We reprove the relation with the determinant of cohomology construction. Furthermore, if we specialize the covering to the one provided by a Kleinian uniformization (thereby allowing possibly disconnected surfaces) the same class can be reinterpreted as the transgression of the regulator class expressed by the Bloch-Wigner dilogarithm. Lyubashenko, V V Ovsienko, S 2002 2002 We construct an A_infinity-category D(C|B) from a given A_infinity-category C and its full subcategory B. The construction resembles a particular case of Drinfeld's quotient of differential graded categories. We use D(C|B) to construct an A_infinity-functor of K-injective resolutions of a complex. The conventional derived category is obtained as the 0-th cohomology of the quotient of differential graded category of complexes over acyclic complexes. Kohno, T Geom. Topol. Monogr. 143-160 4 2002 2002 The total homology of the loop space of the configuration space of ordered distinct n points in R^m has a structure of a Hopf algebra defined by the 4-term relations if m>2. We describe a relation of between the cohomology of this loop space and the set of finite type invariants for the pure braid group with n strands. Based on this we give expressions of certain link invariants as integrals over cycles of the above loop space. Hengelbrock, H 2002 2002 The quantum cohomology of Grassmannians exhibits two symmetries related to the quantum product, namely a \Bbb {Z}/n action and an involution related to complex conjugation. We construct a new ring by dividing out these symmetries in an ideal theoretic way and analyze its structure, which is shown to control the sum of all coefficients appearing in the product of cohomology classes. We derive a combinatorial formula for the sum of all Littlewood-Richardson coefficients appearing in the expansion of a product of two Schur polynomials. Le, M H Lesh, K 2002 2002 Ivanov, M A Lyubovitskij, V E Lect. Notes Phys. 245-263 647 2004 2004 In these lectures we give, first, the model-independent analysis of the exclusive rare decays B -> K l(bar) l and B_c -> D(D*) l(bar) l with special emphasis on the cascade decay B_c -> D(*)(-> D pi) l(bar) l. We derive a four-fold angular decay distribution for this process in terms of helicity amplitudes including lepton mass effects. The four-fold angular decay distribution allows to define a number of physical observables which are amenable to measurement. Second, we calculate the relevant form factors within a relativistic constituent quark model, for the first time without employing the impulse approximation. The calculated form factors are used to evaluate differential decay rates and polarization observables. We present results on a set of observables with and without long-distance contributions. and compare them with the results of other studies. BAILEY, R MINUTES 2000 2000 BAILEY, R. MINUTES 2000 2000 BAILEY, R. MINUTES 2000 2000 Bailey, R. MINUTES 2000 2000 Bailey, R. Minutes 2000 2000 BAILEY, R. MINUTES 2000 2000 BAILEY, R. MINUTES 2000 2000 BAILEY, R. GLM MINUTES 2000 2000 BAILEY, R. GLM 2000 2000 BAILEY, R. GLM 2000 2000 BAILEY, R. GLM 2000 2000 POOLE, J GLM 2000 2000 R. Bailey GLM 2000 2000 POOLE, J. GLM 2000 2000 BAILEY, R. GLM 2000 2000 BAILEY, R. GLM 2000 2000 BAILEY, R. GLM 2000 2000 BAILEY, R GLM 2000 2000 BAILEY, R GLM 2000 2000 BAILEY, R. GLM 2000 2000 BAILEY, R. GLM 2001 2001 BAILEY, R 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R GLM CAREER STRUCTURE 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. 2001 2001 Summary Notes of the GLM held on 09.07.01 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 Roger Bailey GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2001 2001 BAILEY, R. GLM 2002 2002 FORREST, R. GLM 2002 2002 BAILEY, R. GLM 2002 2002 BAILEY, R. GLM 2002 2002 BAILEY, R. GLM 2002 2002 BAILEY, R. GLM 2002 2002 BAILEY, R. GLM 2002 2002 BAILEY, R GLM 2002 2002 BAILEY, R GLM 2002 2002 Bailey, R. Minutes 2002 2002 Minutes of the Meeting held on 08.07.2002 Roger Bailey Minutes 2002 2002 BAILEY, R. GLM 2002 2002 Bailey, R. GLM 2002 2002 Bailey, R. GLM 2002 2002