Explore nonlinear cyclic homology and algebraic K-theory in this one-hour lecture delivered by Boris Tsygan from Northwestern University at the Fields Institute. Delve into advanced mathematical concepts as part of the Workshop on Operator Algebras and Applications: Non-Commutative Geometry and the broader Thematic Program on Operator Algebras and Applications. Gain insights into cutting-edge research in operator algebras and their applications to non-commutative geometry.