Ch. 381A Meeting of Masters?
Summary: "A Meeting of Masters?"
Key Plot Points
- Lu Zhou teaches a class at Princeton and leaves a challenging problem on the whiteboard related to his research on the Navier-Stokes equations.
- Professor Fefferman, who was secretly sitting in the back row, takes the whiteboard and solves the initial problem on the spot, demonstrating a brilliant approach.
- Fefferman asks Lu Zhou to explain the meaning of his earlier derived equation (
pμi := ?). Lu Zhou continues deriving on a fresh whiteboard but reaches an impasse. - The two mathematicians discuss the difficulty of the problem, acknowledging it is far from solved (it is a Millennium Problem).
- Fefferman recalls a joke/promise: Lu Zhou had said he would take on anyone who solved the problem as his PhD student. Fefferman jokingly offers to "earn another PhD" under Lu Zhou.
- After the joke, Fefferman makes a sincere request: he wants to collaborate with Lu Zhou on solving the three-dimensional Navier-Stokes existence and smoothness problem.
Character Developments
- Lu Zhou: Shows humility and confidence in equal measure. He finds teaching rewarding, is genuinely impressed by Fefferman's brilliance, and is receptive to collaboration despite being caught off guard by the proposal.
- Professor Fefferman: Revealed as approachable, witty, and respectful despite his legendary status. He demonstrates a playful side (the PhD joke) but quickly shifts to seriousness when extending a genuine collaborative offer.
- The students: Act as engaged observers, showing deep respect for both mathematicians and participating in the classroom dynamics.
Significant Themes
- The glory of mathematics as an intellectual pursuit (echoing Dieudonné's quote).
- Collaboration across generations: A younger mathematician (Lu Zhou) and a towering figure (Fefferman) joining forces on a Millennium Problem.
- The value of open exchange of ideas and teaching as a form of inspiration.
- The humility of true masters: despite status, Fefferman treats Lu Zhou as an equal.
Character Interactions
- Lu Zhou ↔ Fefferman: A respectful, equal-footing intellectual exchange—Fefferman takes over the board, Lu Zhou continues, and they jointly reach an impasse. Their banter about the PhD promise highlights their rapport. Fefferman ultimately proposes a serious collaboration.
- Lu Zhou ↔ Students: He uses his research problem as a teaching tool. A student (the chestnut-haired girl) reminds him of his own promise, sparking laughter.
- Fefferman ↔ Students: He engages them directly, applauding them and asking if they enjoyed the class; they respond with thunderous applause.