Quotients of Euclidean Groups by Space Groups with Applications to Protein Cryst

组织者 Organizer:Gregory S. Chirikjian
时间 Time: 周五10:30-11:30,2019-3-22
地点 Venue:清华大学理科楼数学系A304

讨论班简介 Description

Crystallographic space groups are discrete co-compact subgroups of the Lie group of Euclidean motions. The configuration spaces of molecular crystals can be viewed as the right coset spaces that results from quotienting the Euclidean group by the space group of the molecular crystal. The resulting ``motion spaces'' appear not to have been studied extensively before. Though flat manifolds and orbifolds are quotients of Euclidean space by crystallographic space groups, and these have been studied, they are not the same as the coset spaces examined here, which are always six-dimensional manifolds.
In order to understand these spaces we have had to re-examine the theory of space groups from a new mathematical perspective, leading to geometric and measure-theoretic insights into the resulting quotient spaces.

报告摘要 Abstract

National University of Singapore & Johns Hopkins University, mechanical engineering professor
RESEARCH AREAS:
Applied mathematics (Applications of Group Theory in Engineering)
Computational Structural Biology (in particular, computational mechanics of large proteins)
Conformational Statistics of Biological Macromolecules
Designs and builds hyper-redundant robotic manipulator arms
Developed theory for "hyper-redundant" (snakelike) robot motion planning
Self-replicating robotic systems
AWARDS:
2014:  A.T. Yang Memorial Award
2014:  ASME Mechanisms and Robotics Award
2014:  Selected as Program Director
2010:  IEEE Fellow
2008:  IEEE Senior Member
2008:  ASME Fellow
2000:  ASME Design Engineering Division Certificate of Appreciation
1994:  Presidential Faculty Fellow
1993:  NSF Young Investigator Award
1990:  NASA Fellow
1990:  Best Student Paper Award - Proceedings 2nd International Workshop on Advances in Kinematics
1988:  General Electric Fellow