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Explore the fundamentals of lattice-based cryptography in this 36-minute conference session from Crypto 2025, chaired by Rishab Goyal. Delve into the mathematical foundations and cryptographic applications of lattice structures, examining their role in post-quantum cryptography and modern security protocols. Learn about lattice problems, their computational complexity, and how they form the basis for cryptographic schemes that are believed to be secure against both classical and quantum attacks. Discover the theoretical underpinnings of lattice-based encryption, digital signatures, and other cryptographic primitives that are becoming increasingly important in the era of quantum computing threats. Access additional resources including research papers and presentation slides through the official Crypto 2025 program website to deepen your understanding of this cutting-edge cryptographic field.