After pointing out Li Qun and two hours, Huang Mingzhe watched the moon star's sparse night sky.
The development of the city not only brings light, but also brings light pollution. When I was a child, the galaxy, now it can only be seen in the deserted fields.
He turned around and looked at the blackboard on the wall, which was full of dense formulas and derivative processes.
Although his Huang's chaotic topology is approaching Hodg to conjecture, it is often the most difficult step.
These days, he focused on analysis, algebraic geometry, and grinding the Huang's chaotic topology to be more sharp, but in the face of the last step of Hodg's conjecture, there is still a feeling of helplessness.
Hodge guesses the main ways and methods that simplify complex geometric problems into simple geometric problems.
After simplifying some complex things, classify according to the same parts to facilitate mathematicians to summarize some responsible things.
The basic idea is to ask to what extent, we can form the shape of the given object through the simple geometric blocks that are continuously increased by the dimension of dimensions.
In the end, it is directed to some powerful tools, so that mathematicians have made tremendous progress when classifying the various objects they encountered in their research.
Unfortunately, in this promotion, the geometric starting point of the program becomes blurred.
In a sense, some components that must be added with any geometric explanation must be added.
Hodge's guess asserting that for the particularly perfect space type of the so -called shooting generation, the components called Hodch's closed chain are actually a combination of (rational lineivity) of the geometric parts of the algebra.
In short, no matter how majestic and strange palaces are in this world, you can use a piece of building blocks.
To complete the Hodg closed chain, the premise is that the entire universe can be composed of countless geometric parts. As long as there is one thing that cannot be composed of geometric parts, Hodg guesses will not be established.
In this way, this difficulty is very huge.
Huang Mingzhe stared hard at the blackboard.
In fact, Hodg guessed that in the daily application, the most obvious is the limited element analysis.
Suddenly he stared at his eyes, and the limited element analysis! Formulating yuan reverse analysis! Huang Mingzhe thought of the finite element reverse analysis technology he had obtained before.
This technology is the technology that can break down all items into a piece of geometric parts.
His brain was quickly running, and the finite element reverse analysis and Huang's chaotic topology. Hodg guessed the relevant knowledge body of inspiration to collide with a spark.
In the moment, countless knowledge sprayed out, forming a brand new knowledge body- [Formulax Reverse Analysis -Geometric Algebra Club and Chaos topology blur clusters]
This knowledge body did not prove Hodg's conjecture, but turned Hodge's conjecture into two, turned into two parts: geometric algebra cluster and chaotic topology blur group.
Among them, the geometric algebra cluster is the orderly computing part, while the chaotic topology blur cluster represents the fuzzy part of the fuzzy.
The relationship between the two is just like the bricks in the house and the cement. The part of the geometric parts can be used, and there is no other part of the geometric parts, that is, the chaos topology blur cluster group.
However, this relationship also requires a limited limited reference value, that is, the smallest unit of limited geometric parts. In this way, one thing will form a geometric algebra cluster and chaotic topology blur group, or only geometric algebraic clusters.
The minimum unit can be infinitely small. After the minimum unit is limited, the constituent component of the object will inevitably support the Hodg closed chain.
If Huang Mingzhe can derive the types of chaotic topology blur clusters, it may prove a part of the Hodg conjecture.
Based on mathematics, numbers can be infinitely small, and then derive the existing objects that can also be infinitely small and infinitely small, it means that Hodg guesses that there is a dead end that can never approach.
That is, Hodg closed chain can only be established in the case of finite element.
Huang Mingzhe's brain immediately gave countless formulas, and then he knocked quickly on his laptop computer.
A line of formulas and numbers appear on the screen, he is crazy derivation.
A week later.
Night is quiet.
Huang Mingzhe stopped slightly sore fingers, stood up and hammed his arms and shoulders.
At this time, three formulas of chaos topological fuzzy cluster have been obtained on the screen, that is, the geometric — fuzzy cluster -chaos formula, differential geometry -fuzzy cluster -chaos formula, topology geometry -vague cluster -chaos formula.
With the formula of the finite element -geometric algebra cluster, it can prove that Hodg guesses are established for H^2 under the conditions of finite element, and Hodgs are also established for the Hodg of the degree P.
The number of dimensions in the number of shooting agents above, so for Hodg category with a degree of 2N-P, Hodg guesses are also established.
However, all this was established in the case of finite element. If it is infinite or unlimited, Hodg closed chain cannot be established.
Unless humans can prove that the number is limited, otherwise Hodch closed chain can only approach infinitely, and it can never form a closed chain.
Obviously, the number must be infinite, and the limited number is not in line with logic.
Just like the peripheral rate, no matter how calculated, the final number cannot be obtained, because the peripheral rate is infinitely unable to circulate, and you can only get a approximate value.
After reading the derivation process of up to 526 pages, and those 12 final formulas, Huang Mingzhe knew that he ended Hodg's conjecture.
For a while, he felt empty in his heart, and a problem that had troubled him for a few months was overcome by himself.
After excitement, there is a sense of loneliness that climbs to its peak.
Sitting on the sofa, a pot of clear tea was rising with a faint water vapor. Huang Mingzhe drank himself.
There was a slight footsteps outside the corridor, and then the wooden door opened slowly. Li Qun carried some seafood porridge takeaway, and he followed Zhu Xiping and Gao Zishang.
"Why did Zhu Yuan come here?"
"I heard that you are retreating for more than a week, come to see you. The difficulty of Hodch guessed the world knows that there is no need to rush to achieve success." Zhu Xiping's comfort.
"Thank you Zhu Yuan for your care." Huang Mingzhe said with a smile.
"That's the head of Japan."
"Already proved."
"Already proved ..." Zhu Xiping stunned before he finished saying, he was not sure: "Prove that Hodg guesses proved"
"To be precise, it is false." Huang Mingzhe said, and took a sip of tea.
Li Qun and Gao Zifei on the side are dumbfounded.
Guru! Zhu Xiping trembled and grabbed Huang Mingzhe's shoulders, and asked with a high tone and a hurry: "Mingzhe, this joke can't be opened."
"The proof process is on my laptop." Huang Mingzhe pointed at the laptop on the desk.
Zhu Xiping rushed over and opened that papers, but when he saw the proof process of the 526 page, he suddenly became bigger.
Although it is just the 12 formulas, the problem is the derivative process here, which is no longer what the average mathematician can understand.
Even after Zhu Xiping read it, it is estimated that the complete process cannot be derived.
After looking at the introduction and the partial part, Zhu Xiping smiled and said with a bitter smile: "This is not a mortal that can be done. Do you plan to send a number of schools?"
"Of course, this is theoretical mathematics. It is useless to hide it." Huang Mingzhe laughed.