How to pronounce“galois”in English

One of them is Galois representation, whatever they are.

what a Galois representation is.

But what Galois realizes is not just the individual moves, but how they interact with each other which is key.

Anyway, that was the Galois representations.

But that opened up a whole bunch of other mysteries about Galois representations in modular forms.

Now, Évariste Galois had an incredibly dramatic life.

but I want to explain this language that Galois developed to explore the symmetries of these two objects.

interact with each other and this was the inspirational move of Galois is that this is key to understanding the symmetries of this object.

And in fact, Galois developed a sort of set of rules for how the symmetries interact.

don't look like they've moved so that is what symmetry is for Galois.

Galois did the same thing for symmetry.

Galois changed geometry into a kind of algebra which tells me how the symmetries interact.

these pictures look very different but the underlying symmetries, thanks to Galois's language, we can say are actually the same.

So, Galois's language is absolutely extraordinary.

And using those kind of Sudoku rules, it wasn't Galois but mathematicians at the end of the 19th century were able to then say well, how

In fact, it took a mathematician called Évariste Galois, who is a French revolutionary who

And what Galois realizes is that really symmetry is like the magic

Now actually there's a sixth symmetry that Galois identified here.

And Galois developed some

Now, they might look geometrically very different but Galois's

So, although these walls look very different, Galois's language says but no, the symmetries

But using this language of Galois, we discovered there are actually only

He's like the Galois of philosophy.