Ranks of points via Macaulay 2 (2nd talk)

Algebra Student Seminar
Friday, April 22, 2022 - 11:00am for 1 hour (actually 50 minutes)
Skiles 006 and Teams
Jaewoo Jung – Georgia Tech – jjung325@gatech.eduhttps://sites.google.com/view/ga-sas/home
Jaewoo Jung

The rank of a point $p$ with respect to a non-degenerate variety is the smallest number of the points in the variety that spans the point $p$. Studies about the ranks of points are important in various areas of applied mathematics and engineering in the sense that they are the smallest number of summands in the decompositions of vectors into combinations of simple vectors.

In the last talk, we discussed how to generate points of given ranks with respect to the rational normal curves. We continue to discuss some known facts via Macaulay 2 and how to find the list of all ranks of points in linear spaces.


Links to Teams: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1650576543136?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%221269007f-fe20-4c2c-b6fa-a7e0eff0131e%22%7d