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Explore a comprehensive session from Crypto 2024 focused on Mathematical Assumptions, chaired by Takahiro Matsuda. Delve into cutting-edge research and discussions surrounding the foundational mathematical principles that underpin modern cryptography. Gain insights from leading experts in the field as they present their latest findings, methodologies, and theoretical frameworks. Access additional resources, including research papers and presentation slides, to further enhance your understanding of the topics covered. This 1-hour and 18-minute talk offers a unique opportunity to stay at the forefront of cryptographic research and its mathematical underpinnings.