The Cross Ratios Theorem - Generalizations and Applications

Explore the Cross Ratios Theorem and its mathematical extensions in this advanced mathematics lecture delivered at the International Centre for Theoretical Sciences. Delve into the theoretical foundations of cross ratios and discover their generalizations beyond classical formulations. Examine practical applications of these mathematical concepts across various areas of mathematics. Learn how the Cross Ratios Theorem connects to broader mathematical structures and understand its significance in contemporary mathematical research. Investigate the relationship between cross ratios and other fundamental mathematical principles. This presentation forms part of the "Automorphic Forms and the Bloch–Kato Conjecture" program, which focuses on recent developments connecting automorphic forms to the arithmetic nature of special values of L-functions and their applications to algebraic structures like Chow groups and Selmer groups.