On the report platform, Xu Chuan was stunned.

The voice of the narrator stopped, and the audience was stunned for a moment.

What's going on?

Isn't the report complete? Why is this stunned on stage?

What's going on? Or what's the situation?

Although most of the mathematicians here did not understand the report on strongly correlated electronic systems, there are still many mathematicians here who have a lot of mathematical physics directions.

During Xu Chuan's presentation, most of them consulted with their peers and learned about the importance of the problem of strongly correlated electronic systems to physics.

This is a problem of no less importance than the seven millennial problems in mathematics, and if it can be solved, it will greatly promote the development of materials science, condensed matter physics, quantum physics and other fields.

While it's unclear why the top bull would report such a thing at a math workshop, people are generally quite tolerant of bulls.

So even if Xu Chuan stood on the report table in a daze, no one made a sound to disturb him, just discussed and exchanged with each other in a whisper offstage.

In the front row of the lecture hall, Tao Zhexuan was quietly communicating with Peter Schultz, who was sitting together.

At first, he didn't pay much attention to it, but looking at the figure standing on the stage, an arc of electricity suddenly flashed in his mind, and the expression on his face suddenly became solemn.

On the side, Schultz looked at Tao Zhexuan, who was sitting up straight inexplicably, and asked curiously, "What's wrong?" ”

Tao Zhexuan took a deep breath and said, "I remembered the video he had previously proved the NS equation, when he also stood in class for a long time and then solved the NS equation in one fell swoop. ”

"And the proofs and tools of that time are like God's writings to the mathematical community."

"Perhaps."

"Today we can see another miracle."

Hearing this, Schultz also remembered the video about the NS equation, smiled, and said, "Tao, could it be that you are thinking a little too much." ”

"That's just that kind of miracle and inspiration, and it's incredible to be lucky to be able to do it once in your life, and to be able to do it every time." ”

After a pause, he then teased: "Then I will wonder if he will be reincarnated by God." ”

Tao Zhexuan shook his head and said, "Look, I don't think my feelings will be wrong." ”

On the report platform, Xu Chuan ignored it, or he didn't think that he was still on stage at this moment.

He stood motionless, completely oblivious to his surroundings and the hundreds of listeners in front of him.

In his mind, the door that locked the problem of strongly correlated electronic systems has clearly emerged.

And the key to open that lock is constantly being tempered and formed.

The exchange with Witten made him think of another way to break through this abyss.

That's dimensional space!

To be precise, it should be the dimension and its influence on the nature of the strongly correlated electronic system.

In materials science, dimension is a real concept, which is similar to but different from physical dimension.

For example, low-dimensional materials refer to materials that do not exceed the nanoscale in three dimensions, specifically two-dimensional, one-dimensional, and zero-dimensional materials.

Zero-dimensional materials, also known as quantum dots, are made up of a small number of atoms or molecules stacked in the nanometer range. Atomic clusters of semiconductors and metals are typical zero-dimensional materials.

One-dimensional materials are called quantum wires, and the thickness of the wires is in the nanometer range, such as carbon nanotubes and one-dimensional graphene.

A two-dimensional material consists of an interface between two materials, or a thin film attached to a substrate, with the depth of the interface or the thickness of the film layer in the nanometer range, such as metal nanoplates.

In the early years, he participated in the tungsten diselenide material project of Chen Zhengping, a mentor at NTU.

Tungsten dielenide is a typical two-dimensional material.

In low-dimensional materials, the influence of dimension on the material itself is an option that cannot be ignored.

Especially in materials such as complex transition metal oxides (TMOs), the collective behavior of the system electrons determines their macroscopic properties due to strong electron-phonon or electron-electronic coupling.

However, the simple superposition of individual electron kinetic energy no longer plays a dominant role, and it will change with the change of external conditions such as temperature and magnetic field, and the lattice structure, electronic structure, and spin arrangement of the material

Entanglement with each other, resulting in an extremely rich phase diagram structure.

Furthermore, macroscopic quantum phenomena such as high-temperature superconductivity and pangreoresistive are demonstrated, which give the materials new properties with great application value.

And in this process, the influence of dimension on it is a question that Xu Chuan is thinking about.

It is a truth that can be proved experimentally by adjusting the coupling strength between multiple degrees of freedom by changing the quantum confinement effect generated by the dimension of the strongly correlated system, so as to induce more abundant physical phenomena controllably.

And what he is thinking about now is how to explain it mathematically.

Perhaps by doing this, a more universal unified theoretical framework can be found to unify strongly correlated electronic systems.

In this way, he stood on the stage and thought about it logically, forgetting the environment he was in.

In the lecture hall, the mathematicians in the audience were also waiting patiently.

Time passed little by little in this quiet.

One minute.

Two minutes.

Five minutes.

In the blink of an eye, ten minutes passed.

The crowd in the audience was relatively much more commotion than before, but everyone was still trying their best to maintain a quiet atmosphere, since they were talking, they also lowered their voices, so as not to interfere with the thinking on the stage.

By this time, the scholars in the lecture hall probably knew that the young bull seemed to have a new inspiration.

Although strongly correlated electronic systems are not a problem in mathematics, everyone present is looking forward to some new breakthroughs.

After all, mathematics is the foundation of all natural sciences and the language of other disciplines.

If physics is the study of the laws and logic of nature, then mathematics itself is logic.

It is a thinking tool created by human subjectivity, and it is a logic that is further deepened and simplified based on the existing natural laws and logic.

There are so few things that human beings can reach within this cosmic constant, but mathematics has given infinite possibilities and infinite beauty to human beings.

It belongs to the Venus born out of the bubble, and it also belongs to the aria on the G string, you can experience the vicissitudes of the coastline from the natural fractal, you can also create a grand starry sky in a conservative chaotic system, and you can create your own artificial intelligence in vector space.

In the lecture hall, several students who came to the seminar with their instructors for the first time involuntarily clenched their fists, a little worried and a little at a loss.

Although they were not standing on the podium themselves, they seemed to be able to empathize with the tension.

Of course, what they didn't know was that their mentor standing on the stage didn't have any tension in his heart.

Time passed little by little, and I don't know how long it had passed, just when the staff in the audience hesitated to report to the leader and remind that the third report meeting should start, Xu Chuan, who had not made any movement, suddenly moved.

He turned around and removed the eraser from the hook of the moving blackboard, and wiped the previous ones clean from the blackboard in three or two clicks.

Immediately, a white chalk dot landed on the black panel, and the lines of calculations quietly jumped with the dance of the palm.

【χ(q，ω)=∑kfkfk+qεkεk+q+ω.】

【λsp=8πe2vFπn√ω2(1+εsub)】

Under the reporting stage, when Xu Chuan suddenly started to act, Tao Zhexuan, who was keeping his attention, suddenly held his breath and stared at the blackboards with full attention.

Is his feeling going to come true?

Only, how far can he go this time?

Is it a phased achievement?

Or is there a new way to incorporate all strongly correlated electronic systems?

He is not a scholar in the field of physics, although he has studied extensively in the field of mathematics and knows some physics. But the knowledge on the blackboard that involves cutting-edge physics still makes him a little confused.

On the other side, Edward Witten, who had sat down again, had his pupils contracted slightly when he saw those few lines of arithmetic, as if he had a premonition, but he couldn't believe his judgment.

Without him, if it were, it would be amazing.

Involuntarily, his breathing became a little heavier.

On the lecture platform, Xu Chuan ignored the audience, and the chalk in his hand continued to outline formulas on the blackboard in front of him.

The ideas in his mind support him to move forward, and the research and ability in mathematical physics and materials science are his most powerful weapons at this moment, opening up a clear path for him to overcome obstacles and open up a clear path.

At the same time, the front row of the auditorium of the report seat.

Looking at Xu Chuan's back in front of the blackboard, and then at his friend Witten, who stood up again in shock, Deligne cast an inquiring glance at him.

"What is he doing here?"

Witten's eyebrows were furrowed, and he looked at the blackboard motionlessly, his gaze moving with the companies listed on that floor, as if he was thinking along with him.

Without an answer, Deligne's gaze fell on Xu Chuan, who was writing formulas in front of the blackboard.

He's a student, isn't he a little perverted and excessive?

Mathematics, Physics, Astronomy, Materials, Chemistry, Quantum Theory. Is there anything else he doesn't understand?

I really can't understand how he managed to be proficient in so many fields at the age of twenty-five.

Even his mentor Grothendieck couldn't have done this when he was young, right?

On the report table, Xu Chuan did not stop his movements until the formulas were written on several blackboards, and looked at the blackboard covered with calculations standing there in a daze.

After a long time, he finally came to his senses, breathed a long sigh of relief, and threw the chalk in his hand into the chalk box.

The second time I encountered such a situation, because the area of the blackboard was not enough, I was forced to interrupt the proof process.

Fortunately, he had already caught that glimmer of inspiration.

If nothing else, he will be able to make up for what is left over the next few days.

Under the stage, looking at Xu Chuan, Professor Witten asked with a trembling voice, "You did it?" ”

Xu Chuan shook his head and said, "Not yet." ”

After a slight pause, he added, "But at least I've found a direction that should work." ”

Witten: "In what direction?" ”

Xu Chuan smiled and said, "Dimension! ”

With that, he left the lecture desk and did not return to his seat, but left the venue directly.

PS: There's another chapter in the evening.,But it shouldn't be sent out before 12 o'clock.,There's it in the morning.,Ask for a monthly pass!