[When ords=nζ(X,s)=(i∈Z)Σ(−1)^(i+1)·dimQ·Ki'(X)(n) is established, there is Cq(D,k)={ (f(x1),···, f(xn))∈Fnq|f(x)∈Fq[x], dedf(x)≤k−1…]
An office inside the Jin Ling University mathematics department building.
Schultz, as well as the newly joined members of the Grand Unified Theory research team, stood in front of a whiteboard, staring at the densely written equations.
After five minutes, Lu Zhou rubbed his chin and gave an evaluation.
“It’s a very interesting idea.”
Perelman nodded in agreement with Lu Zhou and spoke.
“True, this is a very novel idea.”
Faltings did not say anything, but his facial expression clearly showed that he was in agreement.
Schultz smiled and said, “This is what I discovered when I was studying the complete metric space, and this discovery inspired me to establish a Grand Unified Theory. I spent a year perfecting it. If we can find an exact expression for Cq(D, K) and substitute it in equation 4, then we can associate H(v) with irreducible motives.”
Lu Zhou nodded and said, “Yes, then we can indirectly study the direct-sum decomposition of motive theory using the H(v) function.”
Professor Faltings, who never liked to praise others, couldn’t help but feel impressed at Schultz’s intellect.
His complete metric space theory played an unexpected role in the motive theory.
What was even more amazing was that, compared to scholars like Perelman, who only liked to study behind closed doors, Schlutz was a much better academic communicator.
Generally speaking, influencing other scholars to engage in a field of research was almost as difficult as the research itself.
After all, whether it was a complicated or a simple mathematical proposition, it would take a long time to fully understand the problem itself. People would only study a problem if they thought it was important enough.
Schultz smiled at Lu Zhou’s approval and said, “Speaking of which, I still haven’t given this method a name yet.”
Lu Zhou pondered for a second and said, “What about the Poincare duality application theory? I noticed that the core part of the theory is the generalization of Poincare duality theory on multidimensional cohomology numbers.”
“That’s too difficult to remember, short names are popular these days, like…” Schultz thought for a second and said, “What about fold theory? From an abstract point of view, we are folding a set of algebraic expressions.”
When Lu Zhou heard this name, he felt bewildered. He thought this name had nothing to do with the theorem at all.
Chen Yang and Perelman did not really care about trivial matters like this.
Professor Faltings, on the other hand, obviously agreed with Lu Zhou. He shook his head and said, “You millennials like to make up fancy names. I think Professor Lu’s name is pretty good.”
Lu Zhou: “…”
Even though he was happy that Professor Faltings agreed with him, he felt like Faltings was calling him an old man.
With the big names discussing in the office, everyone else in the office stayed silent.
Han Mengqi stared at the equations on the whiteboard and frowned. She felt like she could almost understand what was going on.
He Changwen also frowned with a serious look on his face.
As for Li Mo…
He was dumbfounded.
For a long time, he thought he was very close to the frontiers of mathematics, especially when Lu Zhou agreed to let him join the Grand Unified Theory project. He was certain that he could become an excellent scholar.
But this was a huge blow to his pride.
Forget about conversing with these masters, he couldn’t even understand what these big names were talking about.
No wonder these guys are Fields Medalists…
How terrifying!
Li Zhong looked at the whiteboard and gulped. He said, “Bro… How did they get the value of k in equation 8? I don’t get it.”
“Just pay attention,” He Changwen said as he stared at the whiteboard.
Li Mo thought he was interrupting He Changwen’s thought process, so he shut his mouth.
After a while, He Changwen frowned and lowered his head. He asked Han Mengqi quietly, “How did they derive equations 1 and 2? Have you seen them before?”
Han Mengqi said, “… I think it’s a corollary from Weil’s conjecture.”
Li Mo: “…”
…
Lu Zhou proposed a framework to solve the entire proposition.
While the method proposed by Schultz provided an answer to a specific problem in the framework.
In fact, the method assumed that the famous algebraic geometry Beilinson-Bloch-Kato conjecture was true.
Solving this conjecture was no piece of cake, Schultz had spent the last year trying to find a proof.
If there was no way to prove that the Beilinson-Bloch-Kato conjecture was true, then his “fold” method would be useless.
However, because Lu Zhou was here, Schultz wasn’t worried.
This problem was definitely easier than Riemann’s hypothesis.
Especially for Lu Zhou.
There was no one better at finding proofs than Lu Zhou.
The discussion continued.
Lu Zhou was proposing a method to associate the high-order K-group of the elliptic curve E with an analytic invariant to solve the Beilinson-Bloch-Kato conjecture. Suddenly, the phone in his pocket vibrated.
Even though he did not want to answer a phone call, it might be something important.
When Lu Zhou saw that Chen Yushan was the one calling, he thought something might have happened at Star Sky Technology. He pointed toward his phone and spoke.
“Let me take this, it’s for work.”
Schultz smiled and said, “Sure, I need some time to think about your method anyway.”
Lu Zhou nodded and walked along the office corridor. He picked up the phone and immediately heard Chen Yushan’s voice.
“Check Weibo!”