Technology invades the modern world

Chapter 112 New York Mathematics Dinner
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The things you focus on are so peculiar, I was speechless. Lin Ran looked at Jenny’s serious eyes and paused for several seconds before answering, “How can I remember so many details in a dream?

I just remember the general idea.”

Lin Ran continued, "Besides, he should be Chinese, after all, there are anti-miscegenation laws."

Jenny first said, "Anti-miscegenation laws don't apply to all states. This is New York State, and they abolished them a hundred years ago.

Only the southern states still have this law.

But we will never go to the Southern states in our lifetime."

Then he suddenly smiled and said, "Professor, I'm a law graduate, so don't bring up your limited legal knowledge in front of me.

You might as well talk to me about mathematics and philosophy. Also, don't be too nervous, I'm not in that rush.

Wait for you to pick me up from the Clarendon Buildings at 12:30 on Christmas Eve."

After Hurst finished speaking, he picked up his bag and left the meeting room. Lin Ran reminded him, "Jenny, there is a mathematics seminar on Christmas Eve afternoon, and I'm worried that you will be bored sitting there.

How about I pick you up before the dinner starts tonight?"

Jenny said without turning her head: "Come pick me up in the afternoon, it doesn't matter if I don't understand."

Taking Jenny to the New York Mathematicians Dinner was in exchange for the other party helping Lin Ran find Philip K. Dick and compiling and publishing Philip K. Dick's novels.

After hearing the other party's residence, Lin Ran couldn't help but be shocked, and secretly complained in his heart, what a bunch of rich guys.

The Clarendon Building is located on the Upper West Side of Manhattan, where land is extremely valuable. Jenny's grandfather William Hearst first bought the top three floors of the building and turned it into a sky villa. Later, he thought it was too small and bought the entire building.

Afterwards, the top five floors were directly converted into sky villas, a 700-square-meter sky villa plus a 900-square-meter terrace.

In other words, Lin Ran only knew that this place was extremely expensive, but he didn't know that people lived in an entire sky villa, otherwise he would have been even more jealous.

Although he would be able to afford it sooner or later with his income, Lin Ran has not yet completed such a transformation psychologically.

Their consumption concepts are completely different from those of the old-line capitalists in America.

On Christmas Eve, Lin Ran drove a red Beetle he had specially bought to pick up Jenny.

John Morgan was speechless after hearing this. He insisted on lending his Rolls-Royce to Lin Ran: "Randolph, it's totally inappropriate for you to drive a Beetle to the Upper West Side of Manhattan."

Lin Ran’s response was, “It would be even more inappropriate for me to drive a Rolls-Royce to a mathematician’s dinner.

Others might think I was showing off.”

Jenny, who sat in the passenger seat, had a surprised expression on her face: "Professor, I often see this car in magazines, but this is my first time riding in one. It's really interesting."

Lin Ran sighed inwardly, then pretended to be casual and said, "Hold on tight, I'm going to race."

Jenny laughed, obviously not believing that the Beetle could race.

The seminar was held in an old classroom at City College. Lin Ran and Jenny walked into the classroom and found a seat at the front row.

Although he was sitting on the edge, mathematicians kept coming and took turns to greet Lin Ran.

"Randolph, long time no see."

"Randolph, congratulations on winning the Nobel Prize. You must be the first mathematician to win the Nobel Prize."

"That's right, Randolph. If more mathematicians win the Nobel Peace Prize in the future, it will make up for the regret of not having a Nobel Prize in mathematics."

"Randolph, congratulations on winning the Nobel Peace Prize. You should be the first mathematician to win both the Nobel Prize and the Fields Prize."

Lin Ran also introduced Jenny, who would be his female companion for the evening party, and he brought her here in advance to attend the seminar.

Everyone had an understanding expression.

But Jenny seemed a little worried.

When everyone was seated and no one came to greet them, Jenny leaned over to Lin Ran's ear and whispered, "The proportion of bald mathematicians is quite high.

Professor, you won't be bald in a few years, will you?

Lin Ran smiled bitterly, which reminded him of when he was consulting students from other schools before and heard a freshman from the Department of Mathematics at Jiangnan University mention this. The content of the other party's consultation was related to changing majors abroad.

Lin Ran reminded that if you go abroad to study pure mathematics, it is easy to apply for a doctorate in the top 50 or even top 30 in the US. If you want to study for a doctorate in other majors, it will be difficult to get into the top 100 in the US, as the other party is determined to change majors.

After asking carefully, I found out that when the other party was holding a general meeting in the School of Mathematics, he took a look when everyone stood up and saw that the probability of the professor in front of him being bald was at least more than 80%. For the sake of his hair, he was determined not to do pure mathematics.

Although Lin Ran didn't know how much baldness was related to mathematics, when he looked closely, it seemed that there were indeed quite a lot of people without hair.

"Probably not." Lin Ran wasn't sure.

Who can be sure that there will be no side effects from using the door to go back and forth?

The seminar officially began with a speech by Harvey Cohen, who welcomed everyone and introduced the theme of the seminar: "Today we will be discussing algebraic and analytical methods in number theory. I am very pleased to have invited professors from Columbia University, including Randolph Linn, who now works in the White House. As you all know, inviting Randolph Linn was not an easy task.

Columbia University's own mathematics professors rarely saw Randolph."

After he finished speaking, the audience burst into laughter, and his colleagues sitting next to Ralph Fox (Director of the Department of Mathematics at Columbia University) were teasing him.

“In addition to my colleagues in the New York mathematics community, there were also many mathematicians from Princeton, such as Arthur Selberg, Armand Borel, Harald Cramer, and even Paul Cohen who came from MIT.

Anyway, everyone is welcome.

Hopefully today will be a great day.”

Lin Ran will not be speaking today. He will mainly sit in the audience and listen.

The main worry was that Lin Ran would only have half a day to talk about some major results, and as a result, the entire afternoon was spent discussing Lin Ran's content, leaving no time for other mathematicians to share.

Lin Ran himself was also happy with this.

"Hello everyone, today I will talk about the application of p-adic analysis in number theory.

We all know that real numbers are based on Euclidean distance, while p-adic numbers are based on a completely different metric, namely the p-adic norm.

For a prime number p, any rational number x can be expressed as x = p^k *(a/b), where a and b are not divisible by p, and its p-adic norm is defined as |x|_p = p^(-k). This structure reveals the local properties of numbers.

当p=2的时候，三分之一的2进范数就是1，8的2进范数就是八分之一。”

Paul Cohen is a New Yorker who never left Brooklyn for high school or college. He attended Stuyvesant High School and Brooklyn College.

Although he now teaches at MIT, compared with Lin Ran, he is more like a native New York mathematician.

"Local fields are powerful tools for studying algebraic number theory because they allow us to 'zoom in' on local behavior of a global field. A hot topic right now is how to use p-adic analysis to solve classical number theory problems, such as the distribution of prime numbers or quadratic residues."

Lin Ran listened with great interest, because what the other party said seemed very simple to him, more like the Sudoku game that mathematicians played in their spare time.

Standing on the shoulders of future generations, there have been a lot of research results on the prime number distribution he mentioned. What Lin Ran did was nothing more than comparing the confusion and ideas he raised with the later results in his memory.

Jenny, who was sitting next to him, almost fainted.

From the first sentence she began to daydream and I didn't know what she was talking about.

Not to mention suddenly jumping from conceptual properties such as p-adic norm to local domain.

There are three sharing sessions in the entire workshop.

The first one is Paul Cohen’s talk on “Applications of p-adic Analysis in Number Theory”, which explores the latest developments in p-adic numbers and local fields.

Then Harold N. Shapiro spoke on "New Methods in Analytical Number Theory" and shared his findings in the study of prime number distribution.

And the last one was a talk by Harvey Cohen himself on "The Connection between Algebraic Geometry and Number Theory", discussing the potential applications of Abelian varieties in number theory.

Although Jenny didn't understand what the mathematicians were talking about, she could see that everyone asked Lin Ran for his opinion after they finished speaking, and the mathematicians looked thoughtful after Lin Ran finished speaking.

As a reporter, she couldn't help but sigh that Lin Ran is indeed one of the greatest mathematicians of this century and the undisputed number one figure in the New York mathematics community.

When the dinner started in the evening, Jenny felt even more deeply.

The dinner was held at The Faculty House, a historic faculty club on the edge of Columbia University that was often used for academic activities or dinners for scholars.

The hall is decorated in a simple and elegant style. The main course is roast turkey with mashed potatoes, and the dessert is pumpkin pie.

Jenny said, "Professor, I can actually sponsor you to hold a dinner party at a hotel in Manhattan.

It doesn’t have to be in the school cafeteria.”

Lin Ran held his forehead with his hand and said, “If it were in a luxury hotel, people would not be used to it.

Do mathematicians still have to wear tuxedos? I'm afraid many of you would be lucky to have a suit."

After the dinner started, Lin Ran went around the tables to discuss with everyone some of his recent ideas on the twin prime problem.

This also made people laugh, and Harvey Cohen said: "Randolph, you still put too much energy into the White House.

Otherwise, with your ability, the twin prime problem will not be difficult for you for long.

You shouldn't have just told us your idea, you should have just told us directly that I, Randolph, have solved the twin prime conjecture."

Lin Ran chuckled.

Including chatting with Jenny from time to time to avoid the other party being too bored.

Finally finding an opportunity, when no one was around Chen Jingrun, he walked over and whispered in his ear: "There's something for you in the first red phone booth on the left at the intersection of Seventh Avenue and 46th Street in Times Square. Remember to burn the note."

He believed that the other party must remember this Chinese text very clearly.

(End of this chapter)