Using Representation Theory to Calculate Syzygies
نویسنده
چکیده
These are lecture notes for the workshop “Syzygies of algebraic varieties” that took place November 20–22, 2015 at University of Illinois, Chicago. The goal of these lectures is to explain the method of Kempf collapsing and how to use it to calculate Betti numbers of algebraic varieties. This technique can only be fully executed in very special cases, but when it does work, it gives a surprisingly large amount of information. We will motivate this technique through the example of determinantal varieties. At the end we will indicate some other examples where it can be used, and possible research directions.
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