Geometry Working Seminar

Raymond Cheng, Pure Mathematics, University of Waterloo

"Gutting Bundles on Tori"

Remember the beginning of the term when I was talking about vector bundles over complex tori? Well, I shall be talking about such objects again, except in far less grandeur; I will humbly discuss line bundles on tori and perhaps venture forth into the frightful realm of rank two vector bundles on two dimensional tori. For my own sadistic pleasure, the audience may be subjected to a painfully explicit exposition on the inner workings of these bundles: present may be a macabre scene of matrices and forms. Hopefully, such a gruesome display will not leave the listener too morose, and that he or she may learn a useful trick or two for flaying his or her own geometric problems.