The aim of the CIMPA-ICTP-UNESCO-MESR-MICINN-PAKISTAN Research School on Local Analytic Geometry at Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan (organized by A. D. Choudary, Alexandru Dimca and Gerhard Pfister) was to introduce the participants to local analytic geometry and related topics. A basis of the course was the book entitled Local Analytic Geometry (cf. ...

Assume that only partial knowledge about a non-rigid registration is given so that certain points, curves, or surfaces in one 3D image map to certain certain points, curves, or surfaces in another 3D image. We are facing the aperture problem because along the curves and surfaces, point correspondences are not given. We will advocate the viewpoint that the aperture and the 3D interpolation probl...

Assume that only partial knowledge about a non-rigid registration is given: certain points, curves or surfaces in one 3D image are known to map to certain points, curves or surfaces in another 3D image. In trying to identify the non-rigid displacement field, we face a generalized aperture problem since along the curves and surfaces, point correspondences are not given. We will advocate the view...

Although analytic solutions for the attitude motion of a rigid body are available, for several special cases, a comprehensive theory does not exist in the literature for the more complicated problems found in spacecraft dynamics. In the present paper, analytic solutions in complex form are derived for the attitude motion of a near symmetric rigid body under the influence of arbitrary, but const...

We characterize the equational theories and Lawvere theories that correspond to the categories of analytic and polynomial monads on Set, and hence also the categories of the symmetric and rigid operads in Set. We show that the category of analytic monads is equivalent to the category of regular-linear theories. The category of polynomial monads is equivalent to the category of rigid theories, i...

The main goal of this article is to give an explicit rigid analytic uniformization of the maximal toric quotient of the Jacobian of a Shimura curve over Q at a prime dividing exactly the level. This result can be viewed as complementary to the classical theorem of Čerednik and Drinfeld which provides rigid analytic uniformizations at primes dividing the discriminant. As a corollary, we offer a ...

Employing Fractals and FEM for Detailed Variation Analysis of Non-rigid Assemblies Xiaoyun Liao G. Gary Wang Dept. of Mechanical and Manufacturing Engineering University of Manitoba Winnipeg, MB, Canada, R3T 5V6 Abstract Many studies on non-rigid assemblies, or assemblies of non-rigid components, suggest that the component variation affects the assembly dimensional quality. However, little is k...

We prove that the outer Lipschitz geometry of the germ of a normal complex surface singularity determines a large amount of its analytic structure. In particular, it follows that any analytic family of normal surface singularities with constant Lipschitz geometry is Zariski equisingular. We also prove a strong converse for families of normal complex hypersurface singularities in C3: Zariski equ...

Abstract This is the first in a series of papers about foliations derived geometry. After introducing on arbitrary stacks, we concentrate quasi-smooth and rigid smooth complex algebraic varieties their associated formal analytic versions. Their truncations are classical singular defined terms differential ideals algebra forms. We prove that foliation variety X formally integrable at any point, ...