*Abstract: Representation theory is the study of symmetries of vector spaces, such as spaces of solutions of differential equations. To study representations, it is useful to have a geometric way to construct them. A successful approach to such geometric realisations is via geometric quantisation. Then we realise representations as phase spaces of quantum mechanical systems with symmetry. We can then study the properties of such a representation via the analogous properties of the corresponding classical mechanical system and its symmetries. This talk is an introduction to some aspects of representation theory, and to a way geometric quantisation can be used to study representations. It includes joint work with Yanli Song and Shilin Yu.*

*Host: Yanli Song*

*Tea @ 3:45 in room 200*