Explore an in-depth invited talk presented at CHES 2022 by Martin Albrecht, focusing on the challenges of estimating the difficulty of breaking lattice-based cryptography. Delve into the complexities of this cutting-edge cryptographic field, gaining insights into the latest research and methodologies used to assess the security of lattice-based systems. Learn about the potential implications for post-quantum cryptography and the future of secure communication in an era of advancing computational power.