Speaker: |
Mrinal Kumar (Harvard University Center for Mathematical Sciences and Applications Cambridge MA 02138, USA) |

Organiser: |
Ramprasad Saptharishi |

Date: |
Wednesday, 27 Jun 2018, 14:00 to 15:00 |

Venue: |
A-201 (STCS Seminar Room) |

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In this talk, we will see that over the field of complex numbers, we can approximate these polynomials to arbitrary accuracy (in the border complexity sense) by a sum of 3 summands, each of which is a product of affine forms. Or, more generally, *every* homogeneous polynomial of degree d can be approximated by a sum of d+1 terms, each term being a product of affine forms.

I hope to show the complete proof, which is an elementary, simple, short and self-contained argument and requires no prior exposure to the notion of border computation.