The Chalk Stopped on the Blackboard

The lights came on.

Dressed in a formal suit, Lu Zhou walked steadily onto the stage of the auditorium.

The moment he came to a stop before the microphone, the clamor receded like a tide, and the noisy hall fell silent in an instant.

Standing at the lectern and looking out over the audience, Lu Zhou felt exceptionally calm.

This was not his first time standing before a gathering like this.

Nor was it his first time challenging a world-class problem.

He reached out to straighten the microphone, gave it a quick test, and began speaking in a clear voice.

"Thank you all for taking time out of your busy schedules to come here. To avoid taking up any more of your valuable time than necessary, let's get straight to the point."

After his opening remarks, Lu Zhou paused briefly before continuing.

"Before coming here, I believe you all read my paper. I will give another brief explanation of the proof presented in it, along with a detailed account of the reasoning I used to prove this result."

"I believe my explanation will resolve the questions you have."

"If any questions remain, please raise them during the question-and-answer session at the end."

As he finished speaking, the presentation projected onto the screen behind him advanced to a new slide, displaying rows of equations for everyone to see.

f^i(μv)≡δμ^i-δvμ^i+g(f^ijk)·(aμ^j)·(av^k

"When we give the equation a Schwartz divergence-free vector field μ0 and set the time interval i?0,﹢∞), we can then define a generalized solution n9 of the Yang–Mills equations as a continuous mapping that satisfies the integral equation μ(t), namely μ→h10df(r3)..."

"Using conventional methods, it is difficult to solve this nonlinear partial differential equation, or even to discuss the existence of its solutions. Here, we must introduce a manifold that exists