Deligne, as a big figure in the world of algebraic geometry, certainly has the courage to challenge Hodge's conjecture.

Of course, he didn't prove it anyway.

Soon, Lin Xiao also finished reading the paper.

After reading it, he couldn't help but sigh: "Professor Deligne is indeed a great figure in the field of algebraic geometry. This paper was written more than 20 years ago, but the content in it is still so powerful."

"However, according to the content here, choose a Kahler structure on

*The role in space, if this step is to define H2P(X,Z) through the Poincaré duality theorem..."

Thinking of this, Lin Xiao's eyes gradually lit up.

Does it seem feasible to go in this direction?

"However, there are still some problems."

"Well, it's better to ask Professor Deligne directly."

He did it as soon as he thought of it, so Lin Xiao took out his mobile phone and called Professor Deligne on the other side of the Pacific Ocean.

Soon, the call came through.

Deligne's hearty laughter came from the other end of the phone.

"Hey, Professor Lin, why do you have time to call me today?"

Lin Xiao smiled and said: "Professor Deligne, long time no see."

"Yeah, it's been a long time indeed, but we should be able to meet again at the International Congress of Mathematicians this year, right?"

"Of course." Lin Xiao smiled.

"That's good." Deligne said, "I'm just waiting for you to win a Fields Medal this year."

Lin Xiao laughed: "This hasn't been decided yet, I can't say."

If you want to talk about looking forward to it, then he must be looking forward to it. After all, if he doesn't get it this time, he will have to wait another four years.

"Haha, if you still can't get it, the International Mathematical Union will be embarrassed. We old guys are already waiting to drink your champagne." Deligne smiled, and then said: "Okay,

I believe you must have something to do with me, right? Let’s talk about it.”

"There is indeed one thing, about a mathematical problem."

"Oh? Do you, a lonely artist, also need to ask me questions?"

"A lonely artist? What is that?" Lin Xiao was stunned. When did he get such a title again?

"That's you!" Deligne said with a smile: "Look at the many problems you have solved, almost none of them were not solved by you alone? In our mathematical community, more problems are solved through cooperation.

Yes, people like you who study alone and always come up with something are not considered lonely artists?"

"Is that so..." Lin Xiao touched his nose, or could it be called... a lonely warrior?

Well, it’s better not to be a child.

Skipping this topic, he talked about the purpose of coming to Deligne this time. After telling Deligne about Deligne's paper and his thoughts, Deligne fell into deep thought.

"Well...just wait for me for a while and define H2P(X,Z) through the Poincaré duality theorem..."

Hearing the sound of writing coming from Deligne, Lin Xiao didn't wait and started thinking too.

When two people study a mathematical problem together, it means they share inspiration, which is very meaningful to mathematicians.
Chapter completed!