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Explore the intersection of arithmetic and topological quantum field theory in this mathematical seminar delivered by Professor Minhyong Kim from the International Centre for Mathematical Sciences. Delve into advanced concepts that bridge number theory and quantum field theory, examining how arithmetic structures can be understood through the lens of topological quantum field theories. Learn about the mathematical frameworks that connect these seemingly disparate areas of mathematics and physics, with particular attention to how topological methods can illuminate arithmetic phenomena. Discover the theoretical foundations and potential applications of this emerging field that represents a novel approach to understanding both arithmetic geometry and quantum field theory. The presentation forms part of the "Quantum field theory with boundaries, impurities, and defects" program at the Isaac Newton Institute, providing insights into cutting-edge research at the forefront of mathematical physics and arithmetic geometry.
