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Explore quantitative approaches to the dynamical Bogomolov conjecture in this 53-minute conference talk delivered by Myrto Mavraki from the University of Toronto, Mississauga. Delve into advanced mathematical concepts at the intersection of model theory, algebraic dynamics, and differential-algebraic geometry as part of the Fields Institute's specialized workshop. Examine the theoretical foundations and recent developments in establishing quantitative bounds and estimates related to the dynamical Bogomolov conjecture, which concerns the distribution of points of small canonical height in algebraic dynamical systems. Gain insights into cutting-edge research methodologies and mathematical techniques used to tackle this significant problem in arithmetic dynamics and algebraic geometry.
Syllabus
Towards quantitative versions of the dynamical Bogomolov conjecture
Taught by
Fields Institute