Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Localizing Invariants and Algebraic K-theory - Lecture 3

Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
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).

Syllabus

Georg Tamme - 3/3 Localizing Invariants and Algebraic K-theory

Taught by

Institut des Hautes Etudes Scientifiques (IHES)

Reviews

Start your review of Localizing Invariants and Algebraic K-theory - Lecture 3

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.