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Persistent Transcendental Bézout Theorems

Cambridge University Press via YouTube

Overview

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Watch a 19-minute academic video where the authors present their research theory on "Persistent transcendental Bézout theorems," published in the journal Forum of Mathematics, Sigma (Volume 12/2024) by Cambridge University Press. The presentation explores how the authors address a mathematical problem dating back to Cornalba and Shiffman's 1972 example, which disproved a classical prediction about controlling zeros of holomorphic self-mappings of complex linear space using the maximum modulus function. Learn how the researchers developed a modified coarse count inspired by persistence modules from topological data analysis to establish bounds that the classical approach couldn't achieve. Gain valuable insights into this advanced mathematical research whether you're a mathematician, student, librarian, or anyone interested in arithmetic problems.

Syllabus

Persistent transcendental Bézout theorems

Taught by

Cambridge University Press

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