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The semester includes
two full
days of lectures
and seminars per week and individual work on a test problem. The emphasis
is on independent,
individual effort,
but contact with
lecturers is personal
and intensive. Lecturers give feedback using
the work turned
in by participants,
as well as extensive
exercise material.
There is a weekly
consultation hour
for individual
questions. Regular
evaluation and testing
guarantees the quality
of the programme. The 2007
semester, which runs between February 1 and May 31 2007, is
devoted
to: This International Master Semester is Cancelled !!!Geometry in the SciencesNon-trivial techniques from Geometry and Topology are frequently applied in disciplines like Physics, Astrophysics, Computer Vision and Shape Analysis, Computer Graphics, Geometric Modeling, Biomolecular Modeling and Robotics. Issues here are modeling phenomena in nature at very small or very large scale, modeling geometric objects or the extraction and reconstruction of such objects from large data sets. Objects are subject to motion and deformation in which not only their geometry, but also their topology can change.A key role is played by concepts and results from Differential
Geometry (like curvature in General Relativity), from Differential
Topology (like Morse Theory in the evolution of shapes),
from Singularity Theory (e.g., for the description of the Medial Axis
and other skeletal structures),
from Homology Theory (e.g., for the computation of Betti numbers for
the classification of objects and patterns in spatial data),
and from Mechanics and kinematics (e.g., for modeling and planning of
motion and deformation).
More and more, these topics are subject of multidisciplinary research,
in which input from mathematics is steadily becoming more important. This International Master Semester aims at presenting the mathematical background of geometric aspects of science for advanced MSc-students and beginning PhD-students in mathematics, and in mathematically oriented disciplines like theoretical physics, astrophysics and computer science. Course information
is available here. This International Master
Semester is Cancelled !!! We aim to schedule it again in one of
the next years, probably spring 2009.
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