Explore the Grothendieck inequality in this 68-minute colloquium talk by Gadadhar Misra from the Department of Mathematics at the Indian Institute of Science, Bangalore. Delve into the intricacies of this fundamental mathematical concept, including its surprising consequences and applications. Learn about max cut problems, cut norms, and the Grothendieck constant for graphs. Follow Kirvine's proof of the inequality, understand tensor products, and examine the sine hyperbolic lemma. Gain insights into the sharpening of the Varopolous inequality and participate in a Q&A session to further enhance your understanding of this complex topic.