This workshop explores statistical problems arising in experiments where the sample space is a non commutative Lie Group. It focuses on two specific areas, biomechanics and medical imaging. In biomechanics, motion data is often reported as elements of SE(3), the group of rigid body motions consisting of rotation- translation pairs. In the first part of the workshop various estimation problems using SE(3) data will be considered. Most presentations will be given by biomechanists who will introduce statisticians and mathematicians to methodological problems that arise in their own research activities. In the second part, popular methods of image analysis such as Diffusion Tensor Imaging (DTI) and Q-ball Imaging (QBI) will be reviewed. Several statistical methods for this type of data will be presented; some use distributions defined on the Lie group of 3x3 positive definite matrices. There will also be conferences on new statistical methods, such as topological and functional data analysis, that could be used to analyze data in non commutative Lie groups.