Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: How to Count 27 Lines in Macaulay2

Seminar | February 13 | 3:45-5 p.m. | 939 Evans Hall

Mahrud Sayrafi, UC Berkeley

Department of Mathematics

In a series of computational examples in Macaulay2, we will give an introduction to Chern classes and projective bundles leading to computing the number of lines on a cubic surface. Specifically, we will see how to define smooth projective varieties in Macaulay2, build vector bundles on them, and use the Schubert2 package to compute their Chern classes. If time permits, we will look at more advance examples in the end.

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