Shadowing Practice: Maths’ Future Takes Shape: Fields Medallist Envisions Asia as a New Global Hub - Learn English Speaking with Video

Elige un modo de práctica

Cada modo abre una sala de práctica a pantalla completa.

39 oraciones

Si las oraciones son demasiado cortas o largas, haz clic en Editar para ajustarlas.

I think it was specifically the sixth grade.

I was in some elementary school, very relaxed, but my father was worried about my knowledge in mathematics.

He decided to move me out of that school and try to get me back on track with the school of mathematics.

And I failed the exam, entered the exam for the first time, which upset me very much, and I decided I would study mathematics more.

So my parents got me books, a lot of problems, I tried to solve them.

I felt I was getting better every day and that was how I got hooked up with mathematics.

The Langlands program is the extraordinary vision of Canadian mathematicians, the name Robert Langlands.

Langlands had this extraordinary vision.

He draws abstract but very large pictures but there's a very precise relation between these different continents of mathematics.

In addition to his vision, his conjectures, a lot of questions, he developed some strategy to solve these questions, to prove them.

After a long elaboration, he reduced some very specific identities, certain integrals according to others.

That's what he called the fundamental lemma.

He made a lot of calculations that give evidence for his conjectures.

But he was not able to prove them in generalities.

And many of his students and followers tried to solve them.

When I was a PhD student, and after that there is a new approach to the Langlands program, the geometricization of the Langlands program.

I was a part of that.

From the very beginning, I was very interested to prove the fundamental lemma using this geometric method.

And my work was to discover these geometric structures, geometric shapes that explain the fundamental lemma.

And eventually that allowed me to prove and that is probably my best achievement or contribution to mathematics so far.

And at some point I remember vividly I just came up with some very simple and basic thing about matrices,

you know, some very elementary statement.

But I was surprised that people didn't see it before and with that I could actually reformulate the whole problem of Langlands,

fundamental learning, the whole new setting which become clearer.

And actually that allowed me to ask questions that Langland couldn't ask

because he doesn't have all these geometric shapes and these geometric structures in the game.

I come to the age and I actually feel more happy in Asia, in the Asian vibe.

And for professional reasons, I started believing that Asia will be the future,

the centre of science and mathematics.

And there's great opportunities to develop mathematics in China and Asia and broader.

And I really want to be a part of that development.

I got seven offers, even at the University of Hong Kong.

They're all very good offers, but at the end I thought Hong Kong was probably the next chapters of my life.

Hong Kong has a great department of mathematics.

Some of my colleagues are really very well known and world class mathematicians.

HKU leadership reassures me that they have an ambition to grow the math department, to become a world class center of mathematics.

I'm really eager to be a part of that effort.

I really want to develop more bonds, you know, mathematical bonds in Asia, across Asia.

Hong Kong is going to be the best place to build up this kind of Asian vision of mathematics.

Descargar app

Todo lo que necesitas para hablar con fluidez

Pronunciación con IAEvalúa cada oración

Práctica de IPADomina cada sonido

VocabularioConstruye tu banco de palabras

Juego de vocabularioAprende mientras juegas

Escanea el QR

Download on theApp Store Get it onGoogle Play

FOR YOU

Recomendar Video

240 oraciones

¿Qué es la Técnica de Shadowing?

Shadowing es una técnica de aprendizaje de idiomas respaldada por la ciencia, desarrollada originalmente para la formación de intérpretes profesionales y popularizada por el políglota Dr. Alexander Arguelles. El método es simple pero poderoso: escuchas audio en inglés nativo y lo repites en voz alta de inmediato, como una sombra que sigue al hablante con solo 1-2 segundos de retraso. A diferencia de la escucha pasiva o los ejercicios de gramática, el shadowing obliga a tu cerebro y músculos de la boca a procesar y reproducir simultáneamente patrones de habla reales. Las investigaciones muestran que mejora significativamente la precisión de la pronunciación, la entonación, el ritmo, el habla conectada, la comprensión auditiva y la fluidez al hablar, convirtiéndola en una de las metodologías más efectivas para la preparación del IELTS Speaking y la comunicación en inglés en el mundo real.

Técnica de shadowing: lee la guía completa paso a paso →

Shadowing Practice: Maths’ Future Takes Shape: Fields Medallist Envisions Asia as a New Global Hub - Learn English Speaking with Video

Elige un modo de práctica

Descargar app

Recomendar Video

Why This Is the Most Exciting Time to Be Human | Ken Ono, Axiom Math

Sir Andrew Wiles - The 2016 Abel Prize Laureate

String Theory

Video

"I loved every minute of it, however hard it had been"

President Alan Garber | Harvard Alumni Day 2026

English vocabulary in use Advanced Unit 2

Linguistic Relativity

In memoriam Professor Stephen Hawking 1942 - 2018.

Map of Science (and everything else)

Euler's Formula Poem

SEtalk: The Myth of the Lone Genius

Vocabulario y notas de pronunciación para esta lección

Vocabulario clave de este vídeo

Phrasal verbs que vas a escuchar

Pronunciación a tener en cuenta

Cómo practicar con este vídeo

¿Qué es la Técnica de Shadowing?