The Genius System-Chapter 61: The Conference

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The conference hall was bathed in soft light from modern chandeliers that elegantly contrasted with the classical architecture of the building. Every seat was occupied, and the atmosphere buzzed with anticipation. The murmurs of the guests created a constant background hum, interrupted only by the clicking of pens on notepads or last-minute whispers exchanged among colleagues.

Large screens framed the main stage, ready to display every detail of the upcoming presentation. At the center stood a modest podium made of dark wood, bearing the weight of countless expectant gazes. This was where everything would unfold.

In one corner, Professor Hargrove adjusted his glasses one last time, scrutinizing the stage with a critical eye. Beside him, Claire Bennett, appearing more relaxed, jotted quick notes in a notebook.

"This is the first time I’ve seen a conference hall turned into… what exactly?" Bennett murmured. "A courtroom? A spectacle?"

Hargrove grunted.

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"A circus. And we’re the judges, the clowns, and maybe even the audience."

Dean Marshall entered through a side door, politely greeting the guests while maintaining a façade of calm. His eyes, however, betrayed palpable tension. He climbed onto the stage and adjusted the microphone.

"Ladies and gentlemen, distinguished guests, today we have the honor of participating in a unique moment. An intellectual demonstration that could redefine how we perceive some of the most complex problems of our time."

His voice was clear but tinged with a slight tremor he struggled to suppress.

"We are here to listen, to learn, and, of course, to debate. That is, after all, the very essence of academia."

He paused, sweeping his gaze across the room.

"Without further ado, I ask you to welcome the man the entire world knows as Mr. X."

The room fell into complete silence. Every eye turned toward the entrance as a spotlight illuminated a slowly advancing figure. Lassen appeared, dressed casually, his face calm and enigmatic.

He climbed the few steps to the stage, each step echoing in the hall. Once he positioned himself behind the podium, he raised his eyes to meet the audience.

"Hello" he said simply, his voice clear but devoid of emphasis.

It was enough to push the already electric atmosphere to its peak.

"Before we begin" Lassen said, his voice resonating with an almost hypnotic clarity, "I want to thank each of you for being here today. You are here because you are the best in your fields or because you are curious enough to want to understand what I’ve accomplished."

A few nervous smiles appeared in the audience, while some professors nodded with intense focus. A palpable tension filled the room, a mix of expectation and skepticism.

"I know what many of you are thinking," Lassen continued, clasping his hands on the lectern. "You’re skeptical. You’re wondering if what I claim is true or if it’s just a stroke of marketing genius."

He paused, letting his gaze sweep over the audience. The most confident held his gaze, while others looked away, visibly uncomfortable.

"And let me tell you one thing," he resumed, his tone sharpening, "I couldn’t care less about what you think."

A ripple ran through the hall. Whispers arose, professors exchanged surprised glances, and a few students straightened up in their seats as if to confirm they had heard correctly.

Lassen sketched an enigmatic smile. "I know, it’s a strange thing to say in a room filled with brilliant minds and respected academic figures. But here’s the reality: your opinions, your judgments, will not change what I’ve accomplished. Mathematics does not bend to subjectivity. It exists, immutable, whether you accept it or not."

In one corner, Professor Hargrove shook his head slightly, crossing his arms. Claire Bennett, seated nearby, squinted while smiling faintly, perhaps appreciating the boldness of the statement.

"I couldn’t care less about what you think" Lassen insisted "because I have nothing to prove. Not to you, nor anyone else. I’m not here to convince you. I’m here to share. You’re free to leave with what I’m about to say or to reject it entirely. It will neither affect my life nor my discoveries. The truth is, your doubts are insignificant compared to the elegance of mathematics."

A wave of discomfort rippled through the room. Some nodded in agreement, others whispered to their neighbors. A student in the front row, visibly impressed, pulled out her notebook and began taking notes feverishly.

[Charming. Nothing like a good speech to make a few academics’ blood boil.] The system’s voice echoed in Lassen’s mind, dripping with biting irony. [You can almost hear Professor Hargrove grinding his teeth from here.]

Lassen suppressed a smile. "But don’t misunderstand" he continued. "I respect your curiosity. After all, it’s what brought you here. And I respect your critiques, as they’re essential to intellectual growth. But that respect is not a free pass to doubt without foundation. If you’re here to find flaws, then do it properly. I invite you to ask difficult questions. I’m ready."

The silence that followed was heavy with tension. A hand timidly rose among the professors but quickly retreated. Lassen tilted his head slightly, encouraging interaction.

"No one?" he asked with a sly smile. "Don’t worry. We have all day."

In a corner, a student whispered to his neighbor, "He’s not what I expected."

"Yeah" the other replied "he’s worse."

Lassen straightened slightly, his eyes gleaming with almost arrogant confidence. "Very well, let’s begin. But before we do, one last piece of advice: leave your egos at the door. This isn’t a competition, and it’s certainly not a stage to boost your reputations. This is simply a meeting with the truth. A truth that, I promise you, will not bend for anyone."

The room, now completely silent, hung on his every word. Tension, apprehension, and a hint of admiration filled the air. Some scribbled notes, while others, still incredulous, waited for him to finally reveal what they had come to see.

[Internal applause for your audacity. You’ve managed to captivate them without holograms or pyrotechnics. Maybe you don’t need me after all?] the system quipped sarcastically.

Lassen straightened slightly, placing his hands on the edge of the lectern. The silence in the room was almost palpable. Every gaze in the audience was fixed on him, oscillating between skepticism and fascination.

"For those unfamiliar with the Birch and Swinnerton-Dyer conjecture, let me start with the basics. An elliptic curve is an equation of the form . Simple, isn’t it?" He wrote the equation on the board, then sketched an elegant curve with a piece of chalk. "But this simplicity hides infinite complexity."

He turned to face the audience, locking eyes with several professors in the front row.

"The fundamental problem, and what has fascinated mathematicians for decades, is this: how many rational solutions—that is, points with fractional coordinates—exist on such a curve? If you’re here, you know the answer depends on a particular function, the L-function associated with the elliptic curve."

He drew another, more complex equation on the board, representing the L-function, and explained:

"This function is derived from an infinite series—a sum encoding fundamental properties of the elliptic curve. The Birch and Swinnerton-Dyer conjecture states that if this L-function equals zero at a particular point, let’s say , then there are infinitely many rational solutions. Otherwise, there are only finitely many."

He paused to let his words sink in.

"The problem, ladies and gentlemen, is that this function is devilishly difficult to analyze. For specific cases, we have tools. But for a general proof? Nothing. For more than half a century, this conjecture has resisted all attempts. And that’s where I come in."

He smirked slightly before continuing:

"I won’t pretend my solution is the result of simple inspiration. It’s been a methodical effort, step by step, to deconstruct the problem. It all started with one question: why limit ourselves to classical approaches? Why not combine disciplines no one thought to link?"

Lassen picked up a piece of chalk again and drew a diagram on the board. "I approached elliptic curves not as isolated objects, but as dynamic systems in constant interaction with their own L-function. Do you see this equation? It describes the relationship between rational points on the curve and the derivative of the L-function at ."

He pointed to the diagram. "But to see this connection, I first had to model these curves in a multidimensional space. By using techniques borrowed from algebraic geometry and spectral analysis, I observed regularities in the behavior of these curves. Regularities that were invisible with traditional tools."

A professor in the audience raised his hand. Lassen gestured for him to speak.

"Are you saying you’ve found recurring patterns in curves where no one else has before?"

"Exactly" Lassen replied with a smile. "But identifying those patterns was only the first step. Once discovered, they had to be quantified—understood in terms of why they appear and how they influence the L-function. For that, I developed a specialized algorithm."

He turned to the board and wrote another set of equations. "This algorithm, which I’ve named the Spectral Pattern Analyzer, allowed me to test millions of elliptic curves in near real-time. It analyzed the zeros of the L-function and detected recurring patterns in their distribution."

A murmur rippled through the audience. Lassen pressed on, undeterred.

"Once the patterns were identified, I encapsulated them in a series of universal equations. These equations enable us to predict, with astonishing accuracy, whether a given curve will have a finite or infinite number of rational solutions. And it all hinges on a fundamental geometric relationship, which I will now show you."

He drew a complex curve on the board, linking it to a three-dimensional graph. "This is the key. By studying the topological properties of elliptic curves in this geometric space, I uncovered a hidden symmetry. This symmetry directly ties the derivative of the L-function to the rank of the elliptic curve."

He turned back to the audience, his gaze challenging. "And this symmetry, ladies and gentlemen, is universal. It applies to all elliptic curves, regardless of their type. In other words, I’ve proven that the Birch and Swinnerton-Dyer conjecture holds true in every case."

A stunned silence fell over the room. Lassen set the chalk down and stepped back from the board, observing the impact of his words on the audience.

"Now, I know what you’re wondering. How did I come up with this idea? Why hadn’t anyone thought of it before me? The answer is simple: because I refused to be constrained by conventions. I used tools no one else had dared to combine. And I persisted, even when everything suggested it was a dead end."

He crossed his arms and concluded:

"You have my paper. You have my equations. And now, you have my explanations. If you wish to challenge my demonstration, I invite you to try. But I can assure you, you won’t find any flaws."

A murmur spread through the room once more, but this time, it was tinged with admiration. Lassen straightened and added with a sly grin:

"So, any questions?"

The system, ever present in his mind, couldn’t resist commenting.

[Admittedly, Host, you do have a talent for making the impossible not only possible but spectacular.]

Lassen suppressed a smile and waited for the first question.