Ch. 621The Chalk Stopped on the Blackboard
Key events
- Lu Zhou begins a formal presentation to explain his proof of the existence of solutions to the Yang–Mills equations, promising to address questions in a later Q&A.
- He outlines how conventional approaches struggle with the nonlinear equations and explains how introducing a three-dimensional manifold connects the equations to geometric and topological ideas.
- As he writes through the proof, the audience follows closely. Lu Zhou becomes increasingly absorbed, organizing his reasoning as he presents it—and finding new ideas along the way.
- Near the end of the presentation, mathematician Faltings says Lu Zhou has answered some of his questions, though not all. Just as the audience expects Lu Zhou to finish, his chalk suddenly stops.
Character developments and interactions
- Lu Zhou appears calm and confident before the audience, then becomes wholly immersed in the mathematics. His exposition is not merely a rehearsal: working through the proof sparks further inspiration.
- Academician Lu recalls a disagreement with Lu Zhou five years earlier about a possible particle signal at CERN. Though the discovery remained inconclusive, Lu Zhou’s willingness to defend his view against authority convinced Academician Lu of his promise. He now recognizes how far Lu Zhou has surpassed even those expectations.
- Professor Tang shares Academician Lu’s admiration, calling Lu Zhou the fastest-growing student he has seen.
- Faltings listens critically, having arrived with unresolved concerns about the proof. His measured response suggests that Lu Zhou’s explanation has addressed much—but not necessarily all—of them. Professor Kliqing takes this as reassuring evidence of the proof’s strength.
Significant themes
- Intellectual courage and growth: Lu Zhou’s earlier willingness to challenge an authority foreshadows his rise as a leading scholar.
- Proof through explanation: Presenting the argument forces Lu Zhou to organize and deepen his own thinking, generating new insights.
- Recognition tempered by scrutiny: His achievements impress his mentors and peers, but Faltings’ remaining questions show that major mathematical claims still invite rigorous examination.
- Individual achievement and broader impact: Academician Lu sees Lu Zhou’s ascent as shaping not only his own future but also the standing of Jinling University and Hua Nation’s academic community.
The chapter ends on a cliffhanger: Lu Zhou stops writing before the presentation is complete.