邓煜获菲尔兹奖后首次接受长时间专访
On The SAIR
1 DAYS AGO
邓煜获菲尔兹奖后首次接受长时间专访
邓煜获菲尔兹奖后首次接受长时间专访

On The SAIR
1 DAYS AGO
In this exclusive interview, a newly minted Fields Medalist shares his immediate reactions to winning the prestigious award and offers a rare glimpse into his personal journey from a high school math prodigy to a leading researcher. He delves into the core ideas behind his award-winning work, connecting abstract probability to the physical world, and provides his unique perspective on the evolving relationship between mathematics and artificial intelligence.
The conversation begins with the mathematician reflecting on winning the Fields Medal for his contributions to Hilbert's sixth problem, which bridges the gap between microscopic particle behavior and macroscopic fluid equations. He explains how his work uses probability to simplify the study of complex, random systems by focusing on typical outcomes rather than rare exceptions. Looking ahead, he discusses his current research on randomness propagation and critical problems in partial differential equations and quantum field theory. He expresses cautious optimism about AI, sharing a personal anecdote where GPT helped prove a lemma, and views AI as a powerful collaborator that will enable mathematicians to solve previously intractable problems. He outlines two major future research directions: a long-standing global Poisson problem and progress in constructing infinite-dimensional measures for quantum field theories like Yang-Mills, acknowledging the immense difficulty but feeling that with AI, nothing seems impossible.
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Probability simplifies tracking complex systems
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AI is a collaborator, not a competitor
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With AI, nothing seems impossible