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Explore the mathematical foundations of renormalization theory through this 58-minute conference talk that examines the symplectic structure underlying the renormalization of circle homeomorphisms with breaks. Delve into advanced concepts in dynamical systems theory as the speaker presents rigorous mathematical analysis of how symplectic geometry applies to understanding the behavior of circle maps with discontinuities. Learn about the theoretical framework that connects renormalization group methods with symplectic structures, providing insights into the geometric properties of these dynamical systems. Gain understanding of how breaks in circle homeomorphisms affect their renormalization properties and discover the role of symplectic geometry in characterizing these transformations. This presentation offers deep mathematical insights suitable for researchers and advanced students working in dynamical systems, mathematical physics, and geometric analysis.
