My IQ has been increasing year by year.

It was an afternoon in mid-May.

The old library is on the third floor.

Sunlight streamed through the window and fell onto the table.

Chen Zhuo sat at the table.

There was a thick pile of paper in front of me, the back of which was full of used scrap paper, and the front was densely covered with derivation formulas.

He held a pen in his hand, and on the top sheet of draft paper, a complex continuous geometric surface was drawn in the center.

In the lower left corner of the surface, there is a region that cannot be covered by a regular algebraic loop.

Next to that area, Chen Zhuo wrote down a line representing the homology group formula for topological torsion.

He added a question mark at the end of the formula.

In the derivation of the whole Hodge conjecture, there is an inherent conflict between continuous and discrete.

A continuous complex space can smooth out some of the topological torsion, which is precisely the core obstacle preventing algebraic cycles from holding true.

Chen Zhuo stared at the question mark.

The pen tip landed on the paper.

He did not continue writing down the homology classes of continuous surfaces.

Wrist lateral movement.

He drew a red line above the surface with the singularity.

Then came the second and third rounds.

Intersecting horizontally and vertically.

He constructed a discrete grid on paper.

Red lines cut across the white paper, with each node of the grid corresponding to the next, forcefully covering the region below that was originally unrepresentable algebraically. This discrete grid avoids the failure zone of continuous mapping.

It transforms the integration problem in complex space into a summation problem on discrete lattice points.

The node begins to close.

Chen Zhuo held the pen and connected the last edge of the grid to the starting point.

A perfect closed loop.

He moved the pen tip to the bottom blank space of the draft paper.

I wrote down the symbol for a week group mapping.

Then, an equal sign was drawn.

The left side of the equals sign is the complex integral formula for continuous space, and the right side is the finite summation of discrete algebraic cycles.

This discrete algebra mechanism opens up the previously blocked path between periodic groups and cohomology.

Write the last letter on the right side of the equals sign.

The pen left a dry mark on the paper.

The edges of the strokes are lighter in color, leaving the center blank.

The ink is completely gone.

Chen Zhuo stopped what he was doing.

He looked at the equation at the bottom of the paper.

The deductions over the past few months have now formed a complete closed loop.

At this very second that this equation is true.

Over the past thirty years, the mainstream approach of the international algebraic geometry community in trying to solve the whole Hodge conjecture using continuous differential geometry has been completely declared a dead end.

On this draft paper, the natural barrier between continuity and discreteness is forcibly broken.

The topological torsion hidden in continuous space, which once stumped countless top mathematicians, has been precisely extracted by this discrete grid.

It is no longer an ethereal geometric ghost, but has become an entity that can be precisely calculated by algebraic cycles.

This is not just about solving a sub-problem.

This is a completely new set of underlying mathematical logic.

From today onward, scholars worldwide who wish to continue researching this field must stop.

They abandoned the continuous mappings they had studied for half their lives.

Start from scratch and adapt to this entirely new algebraic mechanism built on discrete lattice points.

Chen Zhuo looked at the paper.

He put down his pen.

He took a new pen from the pencil case next to him.

Remove the pen cap.

Below that perfect equation, in the last blank space on the entire draft paper, he wrote a note.

The handwriting is neat and even.

"Therefore, it can be seen that the traditional approximation method based on continuous mapping has structural redundancy here, and there is no need to continue to explore it." After writing this line.

Chen Zhuo put the pen cap back on.

It made a slight, crisp sound.

He showed no change in expression.

They simply treated this sentence as a perfectly normal academic conclusion and left it at the end of the derivation.

But this polite and mild statement will, in the near future, utterly shatter the old rice bowl of algebraic geometry. Chen Zhuo looked away from those words.

There were several thick foreign language monographs piled up beside me.

These are all classic textbooks in the fields of complex manifolds and algebraic cycles, and they are also the reference books he has consulted the most in the past few months.

He stretched out his hand.

Pinch the edge of the topmost page of the monograph and close it up.

Without pausing, he closed the following monographs one by one.

Stacked together.

Push it to the far corner of the table.

The movement was very light, without any unnecessary force.

It's like finishing a regular elective course and casually closing the textbook, which you'll never look at again.

Those works once considered bibles of algebraic geometry, the moment that equation was written, their core directions became worthless. Chen Zhuo withdrew his hand.

Gather the forty-odd pages of draft paper on the desktop, filled with matrices and discrete grids.

He grabbed the few sheets of paper and tapped them casually on the edge of the table, barely managing to align the edges.

The corner of the top sheet of paper was slightly curled.

He did not try to smooth things over.

He opened his backpack and stuffed the piece of paper inside.

Along with an old water glass.

He casually tossed the exhausted pen into the trash can under the table.

Chen Zhuo stood up.

Push open the door and walk down the stairs.

In the lobby on the first floor of the old library, a teacher who had borrowed a book was looking down at the day's evening paper.

Chen Zhuo quietly walked out of the old library.

In mid-May, the evening air in Huizhou is dry and sultry.

The sun is about to set.