Low-rank approximations of binary forms

Algebra Seminar
Monday, March 13, 2017 - 3:00pm
1 hour (actually 50 minutes)
Skiles 006
Auburn University
For a given generic form, the problem of finding the nearest rank-one form with respect to the Bombieri norm is well-studied and completely solved for binary forms. Nonetheless, higher-rank approximation is quite mysterious except in the quadratic case. In this talk we will discuss such problems in the binary case.