May 9 – 12, 2023
Institut de Mathématiques de Toulouse
Europe/Paris timezone

Ranks of powers of quadrics

May 12, 2023, 11:00 AM
1h
Building 1R3, Amphitheater Schwartz (Institut de Mathématiques de Toulouse)

Building 1R3, Amphitheater Schwartz

Institut de Mathématiques de Toulouse

Institut de Mathématiques de Toulouse 118, route de Narbonne - Bat. 1R3 F-31062 Toulouse Cedex 9

Speaker

Cosimo Flavi (Universita di Firenze)

Description

Determining the rank of the powers of quadratic forms is a classical problem. Many examples of special decompositions appear in the literature. We analyze this problem from a modern point of view and we give an estimate of the value of the rank. Moreover, we determine its smoothable rank and its border rank.

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