Explore the intricacies of the Eilenberg-Watts theorem and its application to Morita theory for C*-categories in this 27-minute lecture by Arthur Pander Maat from the Hausdorff Center for Mathematics. Delve into advanced mathematical concepts as the speaker presents a comprehensive analysis of these fundamental theorems in category theory and their implications for C*-algebras. Gain insights into the connections between functors, bimodules, and equivalences in the context of C*-categories, enhancing your understanding of this specialized area of mathematics.