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Explore the mathematical and physical approaches to quantifying three-manifolds in this 55-minute conference talk delivered at the International Centre for Theoretical Sciences. Learn how physicists and mathematicians tackle the complex problem of understanding and measuring properties of three-dimensional topological spaces, examining the different methodologies, tools, and perspectives each discipline brings to this fundamental area of research. Discover the connections between topological invariants, quantum field theory approaches, and geometric structures that characterize three-manifolds. Gain insights into how interdisciplinary collaboration between mathematics and theoretical physics advances our understanding of these sophisticated mathematical objects and their applications in both pure mathematics and theoretical physics. This presentation is part of the "Women at the Intersection of Mathematics and Theoretical Physics" discussion meeting, designed to foster cross-disciplinary dialogue and collaboration while addressing the underrepresentation of women in these fields.
