ARTi
Who proved the 2D Hodge conjecture in 1924?

The million dollar map of invisible shapes

Chapter 1

Mapping the invisible shapes

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Chapter 2

The bridge builder from Edinburgh

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Chapter 3

The million dollar hunt

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YOUR GOAL

Master of The million dollar map of invisible shapes

Ch 2 · The bridge builder from Edinburgh
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diego Sir William Hodge

He bridged the shapes and equations (yeah, equations!) / Connecting space and calculations (oh calculations!)

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diego A quiet Scottish genius

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Harmonic forms and wave physics

diego Hodge used the physics of waves to study geometric shapes.

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The historic 1950 announcement

diego Hodge presented his famous conjecture to the world in Cambridge, Massachusetts.

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The algebraic cycle puzzle
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diego The algebraic cycle puzzle

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Fun Fact

The wave connection: William Hodge used the physics of water and heat waves to study abstract geometric shapes in high dimensions.

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Glossary
hodge theory (noun)
A mathematical framework that uses differential forms to study the topological properties of smooth manifolds. William Hodge developed this framework in Cambridge after graduating from the University of Edinburgh in 1923.

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Gossip

Is math invented or discovered?

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Quiz

In which city was the mathematician Sir William Hodge born in 1903?

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diego The historic 1950 announcement

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Quiz

In what year did William Hodge officially present his famous conjecture?

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diego Harmonic forms and wave physics

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Quiz

What are 'algebraic cycles' in the context of the Hodge conjecture?

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diego The Lefschetz connection

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Quiz

Which physical phenomenon behaves similarly to the harmonic integrals used by Hodge?

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Quiz

What surprising connection did William Hodge's theory propose?

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Quiz

Who proved a simpler version of the Hodge conjecture for 2D surfaces in 1924?

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Quiz

Emmy Noether helped develop which mathematical tool used to measure shape holes?

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Quiz

Why did the mathematical community find Hodge's conjecture so surprising?

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