Chapter 275

【…… The absolute Galois group Gq acts on the Tate mode Tp(E) and satisfies αζ=ζ+1-|E(Ft)|. 】

Writing this, Gu Lu stopped writing.

Touching his chin and thinking for a few seconds, Gu Lu drew two horizontal lines under the last line of formulas.

Knock knock!

Gu Lu knocked on the blackboard and pulled the mathematicians' thoughts back.

He pointed to the formula that filled half of the small blackboard, smiled and said, "That's the funny thing I'm talking about." ”

Everyone stared intently in the direction of Gu Lu's finger.

Gu Lu smiled and explained, "To summarize it simply, that is, if there is an elliptic curve on Q where E is an elliptic curve, and L represents the set of prime numbers with good reduction, then you can define an integer sequence of numbers (αζ) ζ∈L, that is, the D rational point of the elliptic curve is equal to the number of equation solutions + 1!"

As soon as Gu Lu's voice fell, the group of mathematicians below exchanged their heads and whispered among themselves.

As geometric mathematicians, especially the top ones in the world, they are naturally knowledgeable.

From beginning to end, everyone read the formula written by Gu Lu on the small blackboard several times, and they all looked dignified.

What Gu Lu just talked about is to use the Galois representation method to closely connect the equation on the finite field and the elliptic curve on the complex number field.

You must know that complex domain geometry has always belonged to the desert area in the field of geometry, and its unpopularity is no less than that of double rational geometry in the past.

However, because Gu Lu has overcome the two major problems of the minimalist program, double rational geometry has become a popular research direction.

Complex domain geometry is similar to the double rational geometry of the past.

Although it is a general direction, the research is too complicated and the difficulty of producing results is too high, and no one is willing to study this direction hard.

The complexity of complex domain geometry lies in the complexity of the complex torus in which it is represented.

The formula written by Gu Lu on the blackboard perfectly links the most ordinary finite field equation with the complex domain ellipse using the formula relationship.

It is equivalent to diverting a tributary of the ocean into the dry desert, giving this barren desert vitality and vitality.

No matter how dull their minds are, they understand the meaning of this conjecture.

What's more, everyone here is a well-known existence in the field of algebraic geometry.

Everyone's hearts were pounding.

They knew very well what the meaning of this formula that Gu Lu wrote on the blackboard represented.

Connect finite field equations and complex domain ellipses.

This means that mathematicians can use finite field equations as a springboard when studying complex domain geometry.

The difficulty of finite field equations is more than one or two levels simpler than that of complex domain geometry.

Predictably, it is.

Once this line of Gu Lu's formula is proved to be correct, a large number of mathematicians will definitely pour into the direction of complex field geometry.

Make the complex domain geometry of this desert into an oasis-like existence.

It's like last year's double rational geometry.

It can be said that the significance of Gu Lu's formula for the entire geometric world is no less than the BAB conjecture that was just proved by him some time ago!

Another major achievement that is enough to cause an earthquake in the geometric realm!

The mathematicians below are instantly mixed.

Especially Simon, Carl and Gu Lu, the four of them, different emotions flashed in their minds.

"This guy, when did you come up with this without saying a word?" Simon's eyes widened, staring at Gu Lu who was smiling faintly on the stage in disbelief.

…………

At this time, no one cares if it's a question session.

At the scene, a mathematician stood up and asked, "Mr. Cheng Nuo, is this a new theorem you derived?"

This is also a question that everyone wants to ask.

To everyone's surprise, Gu Lu shook his head slightly, "No, it's not." ”

"Because I haven't figured out a way to prove it yet. However, I ran it on the institute's supercomputer and found that this formula holds up to 248,000. ”

"Because this formula explains the relationship between complex rings, I will temporarily name it - Complex Ring Conjecture!" Gu Lu explained with a smile.

It turns out that it hasn't been certified yet!

Many mathematicians in the audience breathed a sigh of relief.

Especially Carl and the others, a heart that was mentioned to the throat was put down for the most part.

If Gu Lu really proved this so-called complex conjecture, then even they could not help but admit that in terms of strength, Gu Lu was far superior to them.

At that time, Gu Lu probably won't be included in the list of geniuses in the algebraic geometry world.

Rather, it went up a notch, on a par with Konstantin and others.

Fortunately, Gu Lu has not been demonic and perverted to that extent.

However, this does not mean that Gu Lu's complex conjecture is not important.

It's just that compared to the complex loop theorem, the complex loop conjecture is barely acceptable.

In other words, Gu Lu's conjecture is barely within the scope of everyone's cognition.

If Gu Lu directly took out the complex ring theorem, then everyone was afraid that Gu Lu would be elevated to the level of God.

But whether it is the complex ring conjecture or the complex loop theorem, it is undeniable that Gu Lu gave everyone a considerable shock this time.

You know, how long has it been since Gu Lu publicly published the paper proving the BAB conjecture?

Less than three months!

In less than three months, Gu Lu proposed such a major conjecture that was not weaker than the BAB conjecture in a mathematical sense!

This super high efficiency shocked everyone and was difficult to add.

Of course, everyone didn't know at this time that this complex conjecture was just a small thing that Gu Lu had accidentally had a flash of inspiration and spent more than two days concoctioning.

Then, another mathematician stood up and asked Gu Lu.

The mathematician looked a little young, looking less than thirty years old.

The young man's tone was a little excited, "Mr. Gu Lu, since the Fuhuan conjecture has not been proved by you, can I try it and join the proof work of the Fuhuan conjecture?"

"Absolutely. Gu Lu shrugged, "Since I put forward this complex conjecture today, I naturally hope to get you involved, brainstorm, and prove it as soon as possible!"

"Then Mr. Gu, can I join your team?" said the young mathematician.

Gu Lu spread his hands, "I'm sorry, I don't have the idea of focusing on the re-ring conjecture in the next stage." ”

Well?!

Everyone wondered.

It stands to reason that Gu Lu is the proposer of this complex conjecture, shouldn't he be the one who is more concerned about this conjecture?

But listening to this meaning, could it be that Gu Lu wanted to throw this complex conjecture to them, and he turned his head to do something else.

This......

It's like stepping on two boats!

This scumbag!

Many mathematicians secretly slander in their hearts.

I don't know how Gu Lu would feel if he knew what everyone was thinking at this time.