Includes bibliographical references and index.

A duality for the double fibration transform ; T-duality of current algebras and their quantization ; Deformation quantization of instantons on mathbb R^4 ; The Chern character of certain infinite rank bundles arising in gauge theory ; K-theories for classes of infinite rank bundles ; A construction of string 2-group models using a transgression-regression technique ; Extended symmetries and Poisson algebras associated to twisted Dirac structures ; C * algebra approach to the index theory of boundary value problems ; Towards a nano geometry? Geometry and dynamics on nano scale ; Optimal Riemannian metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively curved spaces ; Renormalized integrals and a path integral formula for the heat kernel on a manifold ; Affine transformations on symbols ; Determinants of Laplacians on non-compact surfaces ; Calculation of the variation of det \zeta ; Ill-posedness examples for the quasi-geostrophic and the Euler equations Michael G. Eastwood and Joseph A. Wolf ; Pedram Hekmati and Varghese Mathai ; Yoshiaki Maeda and Akifumi Sako ; Jouko Mickelsson ; Andres Larrain-Hubach ; Konrad Waldorf ; Alexander Cardona ; Severino T. Melo, Thomas Schick and Elmar Schrohe ; Bernhelm Boo-Bavnbek ; Tony Liimatainen ; Christian Bar ; Sylvie Paycha ; Clara L. Aldana ; Simon Scott ; Gerard Misioek and Tsuyoshi Yoneda