Dmitry Petrov's presentation explores the concept of 'big data' in the 21st century, defining it as raw and unorganized information, and illustrating its applications through examples like social media and CCTV. The discussion also encompasses business informatics, emphasizing the integration of programming, business, and mathematics, alongside personal experiences from his studies. The presentation concludes with findings on the importance of data in solving future problems and engages the audience with a quiz.