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Explore the intricate connections between periodic points, torsion points, and bifurcations in this mathematical lecture delivered by Laura DeMarco from Harvard University at the Fields Institute. Delve into advanced concepts in algebraic dynamics and differential-algebraic geometry as part of a specialized workshop on model theory. Examine how these fundamental mathematical structures interact and influence each other across different mathematical domains. Investigate the theoretical foundations and applications of these concepts in contemporary mathematical research. Gain insights into cutting-edge developments in the field through expert analysis and mathematical exposition. Understand the role of bifurcations in dynamical systems and their relationship to periodic and torsion points in algebraic contexts.
Syllabus
Periodic points, torsion points, and bifurcations
Taught by
Fields Institute