Okay, so welcome everyone. Today we have Professor Qi Jing from the Shanghai Chua Tong University.

And he was speaking about interacting particle systems, fast algorithms and non-convex optimization.

And maybe Professor Espoir has a few words about Professor Jingxing.

Please can you introduce him more properly?

Oh, thank you. Thank you, Marius. Yes, well, she is very hard to, well, it's easy and hard

to introduce she, right? So I have the honor and the pleasure of meeting him in person

maybe three years ago or so, because one of our former postdocs, Vintran Min, who is now

a professor in Dallas, right, in the South Fair Methodist University was with him when

he was in Madison. And then I had the opportunity to meet the person, but I knew his name, right?

So of course, I mean, you are an expert in hyperbolic and numerics and kinetics. There

are many reasons why you know the name of Xi Jin. I think I knew him because of his,

you know, celebrated works on relaxation and numerics for relaxation of hyperbolic equations.

So Xi is now the director of the Institute of Natural Sciences in Shanghai, Yao Tong

University. Actually, I think Shanghai Yao Tong is the university that is running the

Shanghai ranking, right? So yeah, I mean, we are all following, right? That has been

so influential worldwide in the academic, say, network. He was actually a PhD student

in the University of Arizona. Before that, he was a student in Beijing University. That

already tells you a lot about, you know, the talent of her because as I explained to my

younger colleagues, I say, well, you want to be a student in Beijing University or maybe

Shanghai University, you have to be, you know, one of the top, say 100 or 200 out of a country

of say, one billion people, right? So that's the selection process is very tight because,

you know, the tube gets very, very, very narrow, right? So yeah, and then he was a postdoc

in Quran Institute. Of course, as you know, is the temple of, you know, applying mathematics,

one of the temples and in particular in hyperbolic equations, right? With Peter Lacks and all

these giants. And then he moved to Georgia Tech to, you know, Madison. He is now one

of the leaders of applying mathematics in Shanghai where there are plenty of things

he's doing. Of course, he has been awarded by all kinds of recognitions and prizes. In

particular, he was invited to speak at the International Congress of Mathematicians in

2018. That was the one in Rio de Janeiro, she? Yes. Yeah, that's which is a good place, right?

Most beautiful city I've ever been. Yeah, yeah, yeah. I have the same feeling actually.

When I went the first time to Rio, I said, well, I mean, back in 1942, I mean 1492, 1492,

when the Portuguese people go there and that was a virgin say valley and bay. I mean, this

was really a paradise, right? Certainly, it's still, but now it's more complicated. Live

there is particularly complicated in this Corona times. Anyhow, we are really honored

that you are with us and I don't take more of your time. Please go ahead. You are very

welcome. Let me get my share screen. Right. You can do that now. Can you see my screen?

Yes, we can see it. Let me okay. Well, first of all, I will thank Enric, of course, a great

friend. I think this is this year 60 birthday, because I just got a paper published in the

Vietnamese journal in honor of your birthday. Well, I am still 58, but it's good that I

still have 15 months left. The paper is already to be published. Hopefully we'll get there.

Okay. Thanks a lot for the invitation. First talk actually after I came back from Paris

to give a talk. I've given several talks in China, but first one overseas. So also thank

you for a very generous introduction. All right. So today I'm going to talk about the

basically interacting particle systems where there are several aspects of this, which seems

unrelated, but I will show you that they are actually related. So I'm talking about random

batch methods for classical and quantum dynamics and body problems and also non-convex optimization.

So there's three parts here. The first one is talk about classical interacting particle

systems. Then I talk a little bit. I don't have much time. I just mentioned a little

bit about what some analysis on N-body quantum dynamics. And the last part I mentioned is

consensus-based gradient-free non-optimization methods based on interacting particle systems.