Chapter 448 (1/2)

Chapter 451

Jacobian conjecture.

The simplest form of introducing Jacobian conjecture is: the Jacobian conjecture for two variables: given two polynomials f (x, y), G (x, y) over a field K with characteristic 0, the following Jacobian conditions are satisfied:

J_ The nonzero constant in {x, y} (f (x, y), G (x, y) = K.

Then we get k [x, y] = k [F, g].

This is the concrete content of Jacobi's conjecture.

As one of the famous conjectures in the field of algebraic geometry, Jacobi's conjecture is not difficult to understand.

People with a little knowledge of calculus can easily understand it.

Therefore, Jacobi's conjecture has always been a hot research field.

Since it was proposed in 1939, nearly a hundred years of development has made mathematicians closer and closer to the real success of proof.

Maybe four or five steps, or maybe just one step.

The theory of Jacobi's conjecture has been gradually improved, and some even have formed a separate research direction.

It can be said that in such an environment, it is only a matter of time before Jacobi's conjecture is proved to be successful.

Only bad, finally someone pushed open the door!

And Cheng Nuo wants to be the one who pushes the door open.

In terms of difficulty, among all the mathematical conjectures, Jacobi's conjecture is only included in the third echelon.

In the second echelon, similar ABC conjecture, corner Valley conjecture and four color conjecture are too difficult. Cheng Nuo has not considered them for the time being.

After a selection, Cheng Nuo thinks that Jacobi's guess is the most appropriate.

Besides, since he has found a vague direction in his mind, Cheng Nuo thinks he can try it.

If you want other people to come, you will have a rare opportunity to lead a project. You must choose a common difficulty to be stable and have a lot of qualifications.

Kechengnuo is different.

His stay at Cambridge University is only half a year at most.

It's no use being a part of the Mathematics Institute because he won't stay in Cambridge all the time.

It's better to make a big one than to mix it up for half a year.

Jacoby conjectured that although it could not be compared with several big mountains which had been standing in the mathematical world for hundreds of years, it could be regarded as a small peak.

At the same time, taking this opportunity, Cheng Nuo wants to test whether he can climb the mountain with all his strength.

What a proud thing it is to carve your name on the top of the mountain!

…………

March 15.

In three days, Cheng Nuo's application for the project was approved and put under the name of the Institute of mathematics and physics of Cambridge University.

Aldin assigned Cheng Nuo an empty office on the third floor of the Institute of mathematics and physics.

The efficiency of the Institute is extremely fast.

The next day, the funds, equipment and personnel will all arrive.

Cheng Nuo also met Danton and Qiao Ya in the office.

”Hello, two senior students. This is not three days, but the next six months, we will fight together!” Cheng Nuo says hello with a smile.

Danton wryly laughed, ”Cheng Nuo, you'd better not call us senior. If you want to graduate, I'm afraid we'll call you a senior now. ”

Cheng Nuo shrugged, no longer tangled with this, ”I'd like to give you two a brief account of our research topic.”

”The title of our research project is called” Keller mapping local bijectivity method of Jacobian conjecture ”. In short, it is...”

After listening to Cheng Nuo's story, Danton has been shocked and speechless.