Explore the concept of characteristic cycle for l-adic sheaf in this advanced mathematics lecture. Delve into the ramification measurement of sheaves, which can be viewed as a generalization of Swan conductor. Examine the compatibility of various cohomological operations as verified by Saito and Beilinson, and investigate the open question of pushforward compatibility along proper morphism. Learn from Tomoyuki Abe of IPMU - University of Tokyo as he discusses these complex mathematical concepts and their implications in the field of algebraic geometry.