6th HLF – Interviews with mathematics and computer science laureates: Ngô Bảo Châu
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6th HLF – Interviews with mathematics and computer science laureates: Ngô Bảo Châu

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No Open Access License:
German copyright law applies. This film may be used for your own use but it may not be distributed via the internet or passed on to external parties. 
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Heidelberg Laureate Forum Foundation

Release Date 
2018

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English

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Abstract 
Laureates at the 6th HLF sit down with Tom Geller, Tom Geller Productions, to discuss their career, mentoring and their experience at the Heidelberg Laureate Forum (HLF). These renowned scientists have been honored with most prestigious awards in mathematics and computer science: Abel Prize, ACM A.M. Turing Award, ACM Prize in Computing, Fields Medal and Nevanlinna Prize. The opinions expressed in this video do not necessarily reflect the views of the Heidelberg Laureate Forum Foundation or any other person or associated institution involved in the making and distribution of the video. Background: The Heidelberg Laureate Forum Foundation (HLFF) annually organizes the Heidelberg Laureate Forum (HLF), which is a networking event for mathematicians and computer scientists from all over the world. The HLFF was established and is funded by the German foundation the Klaus Tschira Stiftung (KTS), which promotes natural sciences, mathematics and computer science. The HLF is strongly supported by the awardgranting institutions, the Association for Computing Machinery (ACM: ACM A.M. Turing Award, ACM Prize in Computing), the International Mathematical Union (IMU: Fields Medal, Nevanlinna Prize), and the Norwegian Academy of Science and Letters (DNVA: Abel Prize). The Scientific Partners of the HLFF are the Heidelberg Institute for Theoretical Studies (HITS) and Heidelberg University.

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[Music]
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can you tell me very briefly what is the
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work that you receive the Fields Medal for I mean working since beginning in my career and still now it is only enhance programs so Reynolds probably is a grant program that connected number theory a representation theory of the groups and algebra javanese so that have quite a related area especially between regroups reputation as more chat with analysis and number theory Roberto but is more like algebra Felix and in the beginning of any 770 Robert Langlands Canadian mathematicians has come up with a great vision how those things are connected in
01:19
very general but very precise way and also device many tombs approach how to one might want to prove his country just so many Turing had asked in the improvement on earth as many progress had been made so in these programs there
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are many country churches but that's one of the best areas candidate has tend [Music] stand against attempt mathematician for they don't have enough fundamental lemma so that they are less obstruct the particular quit those that meet at some integrins how many analysis of lis groups that some called integral many compute the integrals over some conjugacy class in the groups and those integral page B equals to four if we do computer in two different groups the different group simply even compare different place and nobody connected them but the odd number up they should be equal their predicted by some larger programs and
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also they play a very crucial role roles if we only developed language program and that what I have been working on for very long time I managed to prove that can teachers of Langlands and I think that was the the work for which there was awarded since bet on that was gonna fundamentally mouth how did you get interested in that work I think I'm very right on the beginning trying when I did my PhD my adviser proposed me some something related to the fundamental lemma I think it let's be less difficult but the very similar kind of identities mysterious identities and at that time from I was very young I which my advisor I was able to come up with anti new way to prove subscriber identities I would at that time was very far from the big fundamental limit so to speak but anything from the very beginning that I I was interested I was aiming at the great fundamental name of lemons but you know families efq out from from where I start my PhD to and a completely walk the whole world take more like 15 years 15 years yeah but of course I did I did other things in the meantime you mentioned
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your advisor did that person of course yeah I think it's one of the best advice of the world he's named Girardeau MO and one of the few people who have two PhD students who commit award the fish fins medals who's the other one another a wonderful so how did how did he inspire you what was his style first of all he was very he was bit of a lip or a he would meet with students every week I can come to and he spent like one or two hours per week for many years and for me he was a good good health at the beginning as well as afterwards so hopefully it hard to believe but but when I when I was undergraduate student I wasn't very happy with mathematics so before that I would high school I was doing do it in IMO I have good focus problem solver schemes Elijah key problem and I will put it fast in doing that then I came up with the university with more advanced more abstract I didn't fire you know I didn't enjoy it very much I didn't think maybe I could do it was passed itself it would be a good gray but i Fe I didn't understand it and they become more and more painful my and it goes further because you understand it do something a daughter they understand that wasn't a Geronimo who helped me you know to how to connect what is abstract but is you know this do this acts of beauty with more concrete numbers and I enjoy very much looking with that and then that how I I eat today because of him that I could connect what is abstract and what is more in my nature is doing me more concrete I imagine that the work took 15 years and you at the beginning how do you approach difficulties had worked what advice would you give to young laureates here for example if they face similar problems well I would say there is no recipe to how to face difficulties everybody had three difficulties and maybe different ways but why me find it if you drink to a district I let's not worry about it and be patient throughout the beginning a graph II don't even know what the difficulty is right we just don't know how to do it but after a while of course after some kind of having some very good general ideas way to go there's some point when familiar difficulty you were facing some kind of big stumbling block who know how to circumvent it to go jump over it and enter tiger city when to to walk that
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mountain and after a while you may be never able to to to overcome the difficulties but sometimes you can maybe you know really very be aware of what the difficulty is and after time and you may figure out by your own the way to go around with this type learning more more mathematics ideas of other people's connect to that and that will happen now how many of these actual apps have you been to this is my third I mean what sort of questions do you find that people come up the young researchers call and ask you and how do you how do you respond to them so actually I have less interaction with this time I came cab late I just you know I came yesterday and his shop today heaven have it erupted with but participant yet but so last time I had more interruption to help evil one of lectures pretty lectures you know so things are very much a visit to half German High School and you know talking about laughs to to high school student was very enjoyable yes well perhaps just thinking about your own your own students and people who you advise how do you when when they face similar problems what you had what sort of advice do you give besides at a time and try to find other perspectives do you find that there is seriously how much I I guess the question is how much doesn't happen how much is personal well I guess both I mean there's no I think they need perspective perspective and they need a lot of headon calculation I only advise my student to try to set up a particular cases some situations need to take time to set up thing in the as nice as possible so that they can do calculations so they can perform some calculation that reveals what is the difficulties it's very important to be aware what difficulty is you know and if you don't do the setup carefully the main difficulties the two difficulties somehow we can be hidden by all the accessories you know yet mess mess up byebye he don't know essentially frequencies you know how to do it but so that is very that I mean if pure mathematics but if I do my experiment and very important how you set up rest pavement right so that so to
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be aware of the difficulties it sounds like what you're saying if I could rephrase it is finding the answer isn't as difficult as posing the question well immunity come of course but he come he doesn't come like this you know he wants a grand sentence but there's many different step and I mean the nature's I guess it's complex and every time we need to to figure out the the small part of the pictures in how they could to have how they combine together and ringing mathematically different stage doing it right I mean in my view multimedia focus on improve so I want to prove the favorite how to come up with some rigorous proof like in you know modeling couplet elements writing that may be short or may be very long that they elaborate but it's very it's not very usual that you come up right away with the proof and you dedicate it not not so interesting problem which is biologically come up with Kyle proof from the point A to the point B more interesting for me to understand what the phenomenon is you know what what a party the fame what we're talking about and how to write language to talk about it there are language happy the same way to set up you know how how to how to find directly with the main difficulties and leave a sigh on the exterior perturbations and and in order to come up with a real language right approach you need to do a lot of experiments in order to set up in some simpler situations and and I what I said about how it come to be aware of the different difficulties and then just after that in any lab you can try to construct an argument test optimist again on the undercarriage that you have constructing familiar with and after many dataintensive some kind of foreign food that can be published somehow but but actually that's a pity that the end result somehow doesn't contain on the step by which you have come up to it and it may be more interesting also but that's all we cannot publish everything it's just a little bit but staying on talking about the young researchers you received your Fields Medal in 2010 I think yes me and so the people here are a fair bit younger many of the laureates are quite a bit older than you of course there's not as much distance but still it's been a while since you were in their position how do you think your field has changed since you did you were in their position I think that the feeds has changed a lot and they make a tremendous progress so what is be the focus in Hampi my field research has changed has changed and how most new people new ideas new perspective I think the the you know the the big big vision we want to go ahead and change but the method as well as how to approaches know what kind of language you should use but the tunes that have changed a lot yes do you think that there are challenges in your field that are especially interesting free online searchers today well I think so there's many that I think that how this forum is so Ben it can be very beneficial I mean abstract mathematical attachment the field where I'm working on it it could have this reputation of being quite not so accessible that you know student had to walk years and years g5 and to start working on the problem me too to grass have a grass and pop them to optimally knowledge and but somehow it is true in one side but it also true that many of the very basic problem and important problem can be stated in say to the list in in a way that simple way your people can understand the statement of problem but of course but that I think that give enough motivation to to to start but then after that hard work had to begin to accumulate knowledge learning mathematics in order to try to do something with this bitch question but the big question them so I usually achieve is easy to state I mean not that copied easy but it can be that can be done yeah anything else that you care to have either about the forum or about perhaps advice Ian researchers I am I'm very much in a I'm grateful to the to the Highlander low rate forum to bring around the young scientists from over the world I think it's science is humanistic engages by excellence somehow and he had some conversion vocations and I'm very glad that many young people from different continent could come here to interact with no beast no fins and doing another laureate and to you know can can connect expose to what is the most amazing and important problem in different fields and get some inspiration to to start a long road in science that seems like a good closing statements so thank you very much for taking the time thank you too [Music] you