Ajay Ohri's analytics talk at Allianz Trivandrum on October 9, 2016, covered the significance of big data, cloud computing, and data science in various sectors like banking, education, and healthcare. The discussion highlighted the challenges of managing and analyzing vast data sets and introduced tools and models applicable in business strategy and decision-making. Key topics included the role of data scientists, the importance of big data technologies like Hadoop, and the implications for industries such as insurance and retail.