Postby grad » Wed Nov 18, 2015 6:56 pm
To be honest, roadrunner, I've never really heard anything about geometric representation theory before (I've been a graduate student for a little over two years at this point). From what I can see online it does seem that the "geometry" in geometric representation theory refers to connections with algebraic geometry. My totally uneducated impression would be that geometric representation theory is not a very large field. But if anyone knows more about it than I do, please correct me.
Another uneducated impression: it seems to me that understanding basic geometric representation theory would require one to have a little bit of technical knowledge (about algebraic geometry, category theory, etc.). I have no idea what your background is. If you have the background necessary to read some introductory notes on geometric representation theory then you can probably find out exactly what the geometrical component of the subject is. You could also find out whether or not geometric representation theory is basically a subfield of algebraic geometry, a subfield of representation theory, or distinct enough to be considered a field in and of itself. On the other hand, if you don't have the background necessary to read some introductory notes on geometric representation theory, it might be best for you not to commit to that as something you'll likely want to study as a grad student (since you won't really be able to get a feeling for what the field is like).