An Introduction to Modified Traces - Jonathan Kujawa

Delve into the second lecture of a series on modified traces in algebra and topology. Explore the concept of replacement invariants in non-semi-simple settings, where traditional invariants like trace and dimension often become trivial. Gain insights into modular representation theory, graded representation theory, and representations of quantum groups at roots of unity. Discover the mysterious nature of these replacement invariants and their existence conditions. Through examples, basic properties, and applications within representation theory, develop a deeper understanding of these fundamental concepts. Benefit from a friendly and accessible approach to this complex topic, suitable for those with a background in algebra and topology.