[When ords=nζ(X,s)=(i∈Z)Σ(?1)^(i+1)'(X)(n) holds, there exists Cq(D,k)={(f(x1),···,f(xn))∈Fnq|f(x)∈Fq[x],degf(x)≤k?1}...]
An office in the experimental building of Jinling University's School of Mathematics.
The members of the Algebra-Geometry Grand Unified Theory research team, including the newly arrived Scholze and the others, stood before the whiteboard, studying the equations that nearly covered it with keen interest.
After thinking for about five minutes, Lu Zhou rubbed his chin and offered an approving assessment.
"A very interesting idea."
Perelman nodded in agreement with Lu Zhou and added approvingly.
"Indeed. This is a very novel approach."
Faltings said nothing, but the expression on his face clearly conveyed the same sentiment.
Scholze smiled and said, "This was something I discovered while studying perfectoid spaces. It was also what gave me the idea of using them to establish a grand unified theory. I spent all of last year refining it. As long as we can find an exact expression for Cq(D,k) and substitute it into Corollary 4, we can connect H(v) to irreducible motives."
Lu Zhou nodded. "Yes. That would allow us to study the direct-sum decomposition in motive theory indirectly by discussing the function H(v)."
It had to be said that Scholze, whom even Professor Faltings-a man usually reluctant to praise others-had called a genius, really knew his stuff.
His geometric theory of perfectoid spaces had proved unexpectedly useful in the study of motive theory.
What was especially valuable was that, compared with scholars like Perelman, who excelled only at working alone behind closed doors, he was considerably better at expressing himself and communicating.
Generally speaking, persuading scholars in a field to accept an idea ahead of its time was often just as difficult as coming up with that idea in the first place.
After all, whether a mathematical proposition was complex or simple, understanding it deeply required time and