Explore the intricacies of 3-manifolds with a 2-generator fundamental group in this 52-minute lecture on the Thurston norm. Delve into advanced concepts in quantum topology as the speaker examines the relationship between the fundamental group structure and the geometric properties of 3-manifolds. Gain insights into the application of the Thurston norm in understanding the topology and geometry of these mathematical objects. Suitable for graduate students and researchers in topology, this talk offers a deep dive into a specialized area of 3-manifold theory.