Research
Title : | Lusternik-Schnirelmann Category and several Topological Complexities, and their applications in robotics |
Area of research : | Mathematical Sciences |
Focus area : | Mathematics |
Principal Investigator : | Dr. Soumen Sarkar, Associate Professor, Indian Institute of Technology (IIT), Madras |
Timeline Start Year : | 2024 |
Contact info : | soumen[at]iitm[dot]ac[dot]in |
Details
Executive Summary : | The LS-category, introduced in 1934, has been extensively studied in various fields, including variational calculus, manifolds, and CW-complexes. Topological complexity, a homotopy invariant, has been introduced in robotics, with higher, symmetric, D-topological, relative, and parametrized topological complexity being the most recent. The project aims to explore new theories in robot motion planning, investigate their practical applications, and compute topological complexities of these spaces. |
Total Budget (INR): | 26,32,463 |
Organizations involved
Implementing Agency : | Indian Institute of Technology (IIT),Madras Funding Agency : Science and Engineering Research Board (SERB), Department of Science and Technology (DST) | |