講座內(nèi)容：In this talk, I will present the key ideas and algorithms underlying the equivariant approach to moving frames, for both Lie group and Lie pseudo-group actions. Some examples of an ever-widening range of new applications will be included, including differential invariant algebras, joint differential invariants, variational problems, partial differential equations, numerical analysis, image processing, classical invariant theory, integrable systems, and elsewhere.