Localizing Invariants and Algebraic K-theory - Lecture 3
Delve into the fundamental concepts of algebraic K-theory in this advanced mathematics lecture. Explore Thomason's groundbreaking insight, building on Waldhausen's work, that defines algebraic K-theory of rings and schemes through the category of perfect complexes. Examine how K-theory transforms Verdier quotient sequences into fiber sequences of spectra, establishing its nature as a localizing invariant. Investigate the descent properties of K-theory, including Nisnevich descent, and their implications for localizing invariants in general. Gain a comprehensive introduction to these classical topics while discovering recent developments and applications, particularly in the field of algebraic K-theory. Join Georg Tamme from the University of Mainz as he presents this in-depth, 80-minute lecture at the Institut des Hautes Etudes Scientifiques (IHES).