Explore the revolutionary capabilities of reasoning-enabled large language models in this 28-minute conference talk that demystifies how next-generation AI systems like OpenAI's o1 and o3 models, along with DeepSeek's latest offerings, achieve unprecedented performance on complex reasoning benchmarks. Discover what fundamentally distinguishes these "thinking" models from traditional LLMs while understanding that they remain conventional language models at their core. Learn the mechanisms behind their reasoning abilities, examine their optimal use cases, and understand when to choose reasoning models over standard LLMs like GPT-4o or Llama. Gain practical insights into the advantages and limitations of this emerging class of AI models, moving beyond the marketing hype to develop an intuitive understanding of their inner workings and real-world applications.