Explore the intricacies of graded and filtered K-theory for Leavitt path algebras in this hour-long seminar talk presented by Huanhuan Li at the Global Noncommutative Geometry Seminar (Americas). Delve into advanced mathematical concepts as Li discusses the application of K-theory to Leavitt path algebras, a topic of significant interest in noncommutative geometry. Gain insights into the graded and filtered structures of these algebras and their implications for K-theory calculations. Suitable for researchers and advanced students in mathematics, particularly those specializing in algebraic K-theory, noncommutative geometry, or operator algebras.