Chapter 275

[...The absolute galois group gq acts on the tate module tp(e), satisfying αζ=ζ1-|e(ft)|]

After writing this, Gu Lu stopped writing.

After stroking his chin and thinking for a few seconds, Gu Lu carefully underlined two lines of horizontal lines under the last line of formula.

Boom!

Gu Lu tapped on the blackboard to bring the mathematicians back from their thoughts.

He pointed at the formula that filled half of the small blackboard, smiled and said, "This is the interesting thing I was talking about."

Everyone looked at the direction of Gu Lu's finger.

Gu Lu smiled and explained, "To sum it up simply, if there is an elliptic curve on q , and l represents the set of prime numbers with good reduction, then the integer sequence (αζ)ζ∈l can be defined,

That is, the d rational point of the elliptic curve is equal to the number of solutions to the equation 1!"

As soon as Gu Lu finished speaking, the group of mathematicians below whispered to each other and discussed among themselves in low voices.

As geometric mathematicians, especially among the top ones in the world, they naturally know their stuff.

Everyone read the formula written by Gu Lu on the blackboard several times from beginning to end, and they all had solemn expressions on their faces.

What Gu Lu just described is to use the method of galois representation to closely connect equations in finite fields and elliptic curves in complex number fields.

You must know that complex field geometry has always been a desert area in the field of geometry, and its popularity is no less than that of birational geometry.

However, because Gu Lu overcame two major problems in the minimal model program, birational geometry became a popular research direction.

The geometry of the complex number field is similar to the birational geometry of the past.

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

The complexity of complex field geometry lies in the complexity of its representation of the unit complex torus.

The formula written by Gu Lu on the blackboard perfectly connects the most common finite field equations with the complex number field ellipse through formula relationships.

It is equivalent to drawing a tributary from the vast ocean into the dry desert, making this barren desert full of life and vitality.

No matter how slow-minded everyone is, they still understand the significance of this conjecture.

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

Everyone's hearts were already beating loudly.

They knew very well what the formula Gu Lu wrote on the blackboard represented.

Connect finite field equations and complex number field ellipses.

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

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

One thing that is foreseeable is.

Once Gu Lu's line of formulas is proven correct, a large number of mathematicians will definitely flock to the direction of complex number field geometry.

Turn the desert of complex field geometry into an oasis-like existence.

Just like last year's birational geometry.

It can be said that the significance of this line of formulas of Gu Lu to the entire geometric world is no less than the bab conjecture that was just proved by it some time ago!

Another major achievement that can cause an earthquake in the geometric world!

The mathematicians below suddenly had mixed emotions.

Especially Simon, Karl and Gu Lu, the four most famous people, had different emotions flashing through their minds.

"When did this guy come up with this without saying a word?" Simon's eyes widened and he stared in disbelief at Gu Lu, who was smiling lightly on the stage.

…………

At this point, no one cares whether it’s the Q&A session.

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

This is a question that everyone wants to ask.

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

"Because I haven't figured out a way to prove it yet. But I ran it on the supercomputer of the institute and found that this formula is true within 248,000."

"Because this formula explains the relationship between multiple rings, I temporarily named it - the multiple ring conjecture!" Gu Lu explained with a smile.

It turns out there is no proof yet!

Many mathematicians in the audience breathed a sigh of relief.

Especially for Karl and others, most of their hearts were lifted from their throats.

If Gu Lu really proved this so-called compound ring conjecture, then even they would have to admit that in terms of strength, Gu Lu was far beyond them.

By that time, Gu Lu may not be included in the list of geniuses in the algebraic geometry world.

Instead, it went up a notch and was tied with Constantine and others.

Fortunately, Gu Lu is not as perverted as a monster yet.

However, this does not mean that Gu Lu’s compound ring conjecture is unimportant.

But compared to the complex ring theorem, the complex ring conjecture is barely acceptable.

In other words, the fact that Gu Lu proposed the compound ring conjecture is barely within the scope of everyone's knowledge.

If Gu Lu were to directly take out the compound ring theorem, then everyone would probably elevate Gu Lu to the level of a god.

But whether it was the complex ring conjecture or the complex ring theorem, one thing that cannot be denied is that Gu Lu shocked everyone 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 came up with such a major conjecture that was no weaker than the Bab conjecture in a mathematical sense!

This super high efficiency shocked everyone and made it difficult to attach.

Of course, no one knew at this time that this compound-loop conjecture was just a small thing that Gu Lu had an idea and spent more than two days tinkering with.

Then, another mathematician stood up and asked Gu Lu.

This mathematician looks a bit young, looking like he is under thirty years old.

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

"Of course." Gu Lu shrugged, "Since I proposed this compound ring conjecture today, I naturally hope to involve everyone, brainstorm and prove it as soon as possible!"

"Mr. Gu, can I join your team?" It was the young mathematician who spoke.

Gu Lu spread his hands and said, "I'm sorry, I don't have the idea to focus on the compound ring conjecture in the next stage."

Um?!

Everyone was puzzled.

Logically speaking, Gu Lu is the proposer of the compound ring conjecture. Shouldn't he be the one who is more interested in this conjecture?

Judging from this meaning, could it be that Gu Lu wanted to throw the complex ring conjecture to them, and he turned around to do other things.

this……

Isn’t it like stepping on two different boats?

This scumbag!

Many mathematicians secretly slandered him.
Chapter completed!