Peter Lawrey's presentation on low latency trading emphasizes the importance of Little's Law, which relates the number of workers to task completion time and arrival rates, advising on scalability for high independent tasks. He discusses the pitfalls of coordinated omission in testing that can obscure true latency metrics and advocates for using fewer, more powerful servers to enhance throughput while reducing costs and latency. The use of off-heap storage and minimizing garbage collection further supports lower latency in Java applications.