International Congress of Mathematicians (2)
At this moment, a group of reporters swarmed towards Faltings.
"Professor Faltings, your research field is similar to Professor Brund's. You've presented new findings today. Are you confident in your abilities?"
"Professor Faltings, do you think you have a chance of winning the Fields Medal?"
Faltings was under intense scrutiny, and he answered reporters' questions with ease and confidence.
Shen Qi returned to the lecture hall; he would be giving a report tomorrow.
Following this, German mathematician Simon Blund gave a one-hour presentation. He received his doctorate at the age of 20 and had previously presented at two conferences.
With his talent and connections, Blund has persevered for a long time to reach this point. At 39 years old, this is his last time competing for the Fields Medal.
Similar to Faltings, Blund's research area is Differential Geometry and Partial Differential Equations. He calmly completed his one-hour report, which contained his research results from a year ago, and was already well known in the Mathematics Community.
Blund, relying on his past achievements, ranks first in Faltings' prediction system and is the biggest favorite to win this year's Fields Medal.
"Blund is calm, while Faltings is determined to make a comeback. They are the biggest competitors, and they may both have a chance to win the Fields Medal." Shen Qi left the lecture hall, having arrived full of confidence, but now he was somewhat uneasy.
The second day of the meeting.
Shen Qi and Ou Ye walked hand in hand into the lecture hall. Today, he would be giving a presentation on "The Proof of the Riemann Hypothesis and Supplementary Theorems to Riemann Theorem".
Mary, Jonas, Muller, Faltings, Lyndon Strauss, and other Princeton staff were postponed.
Three Chinese mathematicians, Gong Changwei, Yun Wei, and Xu Yang, sat next to their junior colleague Shen Qi, giving him a shout-out up close.
The lecture hall was packed. Three speakers were scheduled to give one-hour presentations today: Joseph Ayoub, Peter Schultz, and Shen Qi.
The first to take the stage was French mathematician Joseph Ayoub, who comes from the ENS Paris and is also 39 years old this year.
Ayoub, whose specialty is algebraic Algebraic Geometry, reported on "the latest research findings on Ayoub's Identity".
Even though this latest research result is largely the same as the result from two years ago, Ayoub is still highly praised and sought after by the Mathematics Community.
Ayoub is similar to Shinichi Mochizuki, but his theories are easier to understand than Shinichi Mochizuki's.
Shinichi Mochizuki's famous paper is said to be understandable to only twelve people in the world.
The latest research findings on the Ayoub's Identity can be understood by more than 120 mathematicians worldwide, making Ayoub a strong contender for the Fields Medal, second only to Blund.
This is a very simple principle: if you want to win an award, your research results must be understandable to the judges.
"... Our goal is to establish Grand Unification mathematical framework, a goal that we expect to achieve within twenty years. Thank you, that concludes my report."
When Ayoub finished his report, thunderous applause erupted from the audience, and many mathematicians stood up to applaud, their expressions filled with excitement.
Ayoub claims that he has been studying the "Ayoub's Identity" for nearly 20 years and is 50% complete. He will continue to spend another 20 years to completely complete the "Ayoub's Identity".
Once a mathematical system based on the "Ayoub's Identity" is established and a mathematical framework is perfected, the unification of Mathematical Grand Unification.
Those who study Algebraic Geometry all share a great dream: to establish Grand Unification mathematical framework and unite the Mathematics Community.
Shen Qi was also clapping vigorously. He knew in his heart that Grand Unification was the way out for the future of mathematics.
Twenty years from now, fifty years from now, a hundred years from now, if theory cannot support the rapid development of applied science, mathematics will become a mediocre discipline, or even die out.
Lê Conjecture, Goldbach Conjecture, Höller's conjecture, and Fermat's Last Theorem are all exceptional cases that can be used to win the Fields Medal, but they are not the ultimate goal of idealistic and ambitious mathematicians. Grand Unification is the true goal.
After Ayoub stepped down, Peter Schultz took over.
Peter Schultz had long hair and was a handsome German.
Ou Ye clenched her small fist and said condemningly, "Scumbag."
Ou Ye glanced back at Mary, expressing her sympathy.
Schultz began by reporting that he had written a paper during his graduate studies that constructed a completely new mathematical framework, considered one of the most promising frameworks for Algebraic Geometry in the coming decades.
Schultz, 32, has won twelve Math Prize in just a few years, and Schultz is widely regarded as a leading figure in Algebraic Geometry in the coming years.
Schultz is only missing a Fields Medal; in this conference, he presented his research on the Hodge conjecture.
Three months earlier in Edinburgh, Schultz had reported on his "study of the Hodge conjecture".
The Hodge conjecture is an Algebraic Geometry and is widely recognized as the most difficult of the seven Millennium Prize Problem.
"Geometry without figures" is another name for the Hodge conjecture.
The Millennium Prize Problem is not Shen Qi's private property; if others want to solve Millennium Prize Problem, Shen Qi cannot stop them.
"... Geometry without diagrams, Hodge conjecture. I spent three months and only managed to draw one diagram." Schultz switched to the next slide of the PPT. This diagram was the result of his new research, his only achievement in the past three months.
A pattern was displayed on the large screen: two shell-like curved surfaces rotated around the origin and then connected to each other.
Schultz used algebraic methods and multivalued functions to create this distorted graphic that could not exist in real three-dimensional space.
Wow!
A gasp of amazement erupted from the audience.
What followed was a long and enthusiastic round of applause.
"... I predict there will be five to seven more sets of similar patterns. I hope to find them within three years, thus completely solving the Hodge conjecture, the most difficult of the Millennium Prize Problem. Thank you, that concludes my report."
Schultz bowed and stepped down; his report was a success.
Shen Qi's expression was solemn, but he couldn't help but admire Schultz's genius.
Schultz achieved preliminary results in his research on the Hodge conjecture, placing him at the forefront of the world's research.
"Faltings made a full-fledged comeback, Blund remained as steady as a rock, Ayoub made sweeping moves, and Schultz challenged Hockey. The international Mathematics Community is full of top talents, so let nature take its course." Shen Qi had already come to terms with it. It was enough to talk about his research topic and tell his story; the ending was irrelevant.
Ou Ye was beside him, noticed Shen Qi's slight nervousness. She took Shen Qi's hand and whispered, "I believe in you, I support you."
"Absolutely," Shen Qi said with a smile, straightening his shirt as Ou Ye helped him adjust the tightness of his tie.
Host: "Next, please welcome Shen Qi to present the proof of the Riemann Hypothesis and the supplementary theorems to Riemann Theorem!"
Applause erupted as Shen Qi walked onto the stage amidst the gaze of the crowd.
Although the outcome didn't matter, Shen Qi was confident enough.
Blund and Ayoub were reporting research findings from one or two years ago.
Blund is as steady as a rock and offers nothing new, Ayoub's grand and sweeping undertaking is halfway complete, with no final conclusion yet.
Schultz is a very Strong Force competitor; his major achievement, recognized by the Mathematics Community, is the new framework for Algebraic Geometry published a few years ago.
Schultz only completed a small part of the Hodge conjecture and did not reach a final conclusion.
Faltings unleashed his trump card, publishing his latest research findings: an important theorem for Partial Differential Equations.
However, this Partial Differential Equations theorem is slightly inferior to the Riemann Theorem.
Shen Qi's greatest academic asset is that he possesses two core expressions of the Riemann Hypothesis, as well as a supplementary theorem to the Riemann Theorem, namely the third expression.
All three expressions are valuable information and have established conclusions.
Shen Qi began his report with great enthusiasm.