Explore the implications of SAT complexity in this 58-minute conference talk by Bruno Escoffier, recorded during the "ALEA Days" thematic meeting at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into the consequences of the Exponential Time Hypothesis (ETH) and related assumptions on SAT difficulty. Access this video and other mathematical talks through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and a multi-criteria search function for easy navigation through various mathematical topics.