The presentation by Victor Perepelitsky discusses functional programming in Java 8, focusing on its principles, benefits, and how to apply it using features like functions, lambda expressions, and the Stream API. It emphasizes the advantages of functional programming such as less code, expressiveness, correctness, and performance improvements, while also exploring concepts like pure functions and referential transparency. Practical examples illustrate the use of Java 8 functions and the challenges of adopting a functional style in programming.