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Explore the development of conformal field theory applications to critical planar interfaces in this 56-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into advanced mathematical physics concepts as the speaker presents research on the intersection of conformal field theory and critical phenomena in planar interface systems. Learn about the theoretical framework connecting statistical mechanics, complex analysis, and quantum field theory through the lens of critical interfaces. Examine the mathematical structures underlying phase transitions and boundary phenomena in two-dimensional systems. Discover how conformal invariance emerges in critical systems and its implications for understanding interface behavior. This presentation forms part of the "Women at the Intersection of Mathematics and Theoretical Physics" discussion meeting, designed to foster cross-disciplinary collaboration and advance research at the boundary between pure mathematics and theoretical physics.
