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Explore the fascinating intersection of computer science and spectral geometry in this Aisenstadt Chair lecture series talk. Delve into recent and ongoing research results where computational assistance has played a crucial role in advancing the field. Gain insights into the various ways computers have contributed to establishing key findings in spectral geometry. Discover future challenges and open problems in this area, providing a roadmap for potential research directions. Learn from Javier Gòmez-Serrano as he surveys the landscape of computer-assisted spectral geometry, offering a comprehensive overview of this cutting-edge mathematical domain.