Wang Hao thinks what Zhu Ping said makes sense.
Since only the house you design yourself meets all the requirements, then you can build your own house yourself, regardless of what the mainstream construction methods are.
The same goes for research.
Some of the contents of the 'semi-topology' he studied did not conform to the topology model. In this case, he gave a new definition of topology, rather than having to conform to the conventional topology content.
Wang Hao found that his thinking was still limited.
When understanding a large amount of knowledge content that is defined as correct, sometimes the ideas are subject to certain limitations.
When he thought about the connection between algebraic geometry and topology, he subconsciously thought of Hodge's conjecture, which is considered to be a bridge between topology and algebraic geometry.
However, the semi-topological work he did did not conform to the content of mainstream topology.
Even if he proves the Hodge conjecture, or goes very deep into research and connects related algebraic geometry and topology, it will be of little value to his mathematical work.
In this case, a new definition is given to conduct new topological research based on algebraic geometry.
Wang Hao thought thoughtfully, "If we can create a new definition of topology and connect it with algebraic geometry, wouldn't it be considered a contribution to the unification of the mathematics discipline?"
He thought along this line of thinking and felt that he could also add content from number theory and establish a new topological system based on multi-disciplinary content.
He was not very confident in doing research in this direction because he had no in-depth research on algebraic geometry and topology.
Wang Hao thought for a while and decided to ask experts for their opinions.
Coucher-Bill Carr, Fields Medalist, professor at Waterwood University, an expert in the field of algebraic geometry, especially high-dimensional two-way geometry, is an expert among experts.
Wang Hao summarized the problem, then wrote an email and sent it to Coucher-Bill Carr.
That afternoon, he received a reply from Bill Carr, which contained only one sentence, "This is very similar to Peter Schulz's latest research!"
“————?”
Wang Hao was stunned when he saw the reply message. He quickly looked up Peter Schulz's latest research, and found the content after a simple search.
Peter Schulz is one of the top mathematicians in the world and is also considered one of the top geniuses. His research developments are of great concern.
His latest research is to conduct unified research on mathematical theories with computer assistance.
The mathematics community has long been conducting research on the unification of theories. Unlike the unification of physics and mechanics, the unification of mathematics is about linking together completely unrelated subjects.
For example, algebraic geometry and topology.
For example, number theory and geometry.
The original "grand unified" mathematical theory was proposed by Robert Langland of Princeton University. He believed that even unrelated branches of mathematics may be related.
Therefore, Langlands proposed a great idea to guide the development of the mathematics community-the Langlands Program.
"Number theory, algebraic geometry and group representation theory, three branches of mathematics that developed relatively independently, are actually closely related, and it is some special functions that connect these branches of mathematics."
The Langlands Program can be called a grand blueprint for the unification of mathematics.
Peter Schulz has been conducting research. He found that it is quite difficult to unify the three fields of geometry, functional analysis and P-adic numbers because they are not compatible with each other. He and Dustin K. of the University of Copenhagen
Lawson, together they launched the "Condensed Matter Mathematics" project, with the aim of unifying various fields from geometry to number theory.
Peter Schulz's latest achievement believes that "the key point of condensed matter mathematics is to redefine the concept of topology, which is one of the cornerstones of modern mathematics."
"Geometry, functional analysis and p-adic numbers, even though they involve completely different concepts, many results have similarities in other fields."
"Once topology is defined in the right way, analogies between theories are revealed to be instances of the same condensed mathematics."
Peter Schulz's latest research was to use computer-assisted means to write code, and decided to form a team to improve the code.
After Wang Hao learned about Peter Schulz's latest research, he immediately checked the published papers.
He found that Peter Schulz's research also redefined topology, but the definition direction was different from his.
"Schulz's direction is to define topology in similar directions across multiple disciplines."
"My direction is to make targeted definitions based on algebraic geometry and combined with useful content from other disciplines."
"The direction is similar, but the content is completely different."
Now Wang Hao understood.
Although the content of their research is different, Peter Schulz's work is still of great reference value because it is also a new definition of topology.
He felt that he had found his direction.
Of course.
If you want to determine a brand-new research, you must have enough foundation. Next, in the process of continuous research, he continued to exchange emails with Kaucher-Birkar.
One advantage of email communication is that when you see a message during working hours, you can reply when you have time without being too intrusive. Especially when they are talking about academic issues, a question often cannot be thought of at the first time, and it is difficult to have a direct conversation.
Wang Hao also felt that he gained a lot from the exchange of emails.
He clarified the main direction of research and development.
Create a task——
【Task 2】
[Research project name: Constructing a unidirectional semi-topological system (difficulty: S).]
[Inspiration value: 0.]
Shuimu University.
After Kaucher-Birkar finished teaching the students, he happened to bump into Qiu Chengwen on his way back to the office, and they exchanged a few words together.
Qiu Chengwen talked about Wang Hao's latest achievements and sighed, "Wang Hao is so surprising. I didn't expect that he would study physics and actually develop a superconducting law."
"When I was watching the Mathematicians Conference and he gave a report, I thought he would slowly explore the problem of electromagnetic force in this direction. As a result, he produced such a result. I guess he can win the Nobel Prize in Physics, right?"
"Fields plus Nobel, he also became the first person in history."
Qiu Chengwen's words were full of emotion.
Birkar said with interest, "Wang Hao is indeed a genius. He has recently been studying the construction of new topological systems based on algebraic geometry."
He added, "This research may be related to his Wang's geometry."
"How did you know?" Qiu Chengwen asked in surprise.
Birkar said with a smile, "I have been in contact with Wang Hao via email recently, and he asked me a lot of questions about high-dimensional bidirectional geometry."
"oh?"
Birkar continued, "He also said that he would come to the capital for a while, communicate with me face to face, and hope to conduct research with me. I am looking forward to this research."
Qiu Chengwen nodded after hearing this. He was thinking about it and was about to leave when he suddenly thought of Lin Bohan who was leaving.
Lin Boxan did topology-related research together with Wang Hao. Lin Boxan's name is on Wang's geometry paper. His choice to go to Xihai University can be said to be absolutely correct.
Now it's Coucher-Bill Carr.
Bill Carr is a Fields winner and a super expert in algebraic geometry. He is certainly not comparable to Lin Bohan, but he is Wang Hao!
Qiu Chengwen's heart trembled, and he suddenly had an ominous premonition.
National Research Center for Condensed Matter Physics.
Negotiations for technology exchange regarding communication gravity research have been ongoing. Both parties to the negotiations have their own needs and at the same time, they do not trust each other.
This is where the contradiction lies.
The needs of the American team are to obtain parts related to the development of superconducting theoretical mechanisms and AC gravity experiments. In other words, they want to know how to conduct follow-up research.
The demand of the domestic team is to obtain technology related to improving the intensity of communication gravity.
Alamos Laboratory has been conducting research on AC gravity for many years and has certainly invested a lot of money. Their main direction is AC gravity strength, and naturally they have a very high technical level in this area.
Wang Hao also hopes to obtain the Alamos Laboratory's technology to improve the intensity of AC gravity.
Communicating gravity experiments is fundamental.
In fact, he and Philip Laurel had similar judgments. They both believed that the anti-gravity strength must have an extreme value, but he did not think it would be 40%, but that it would be much higher.
If relevant research can reach the extreme, then at least the research on AC gravity field strength will have reached its peak.
Of course.
Even if it can be researched to the ultimate level, there is still no possibility of application of AC gravity technology.
To be continued...