Discussions, incl. FW Lawvere

1:10:00 He said that he would like to send his email. I said that he had a colleague in Paris who had given a rather good talk on duality principles to the seminar, the Cartier and Durango chair, a guy called Shashinyach. He may also have mentioned discussion of duality principles as carrying the... ...improve the category theory as one of the topics for discussion, but he didn't particularly mention it. The one thing he did say was that he liked to talk a little about derived categories and, as it were, the influence of categories on geometry and the influence of geometry on categories. But he suggested, he just suggested that.

1:12:30 ...simply the algebraic geometry version of the algebra of... ...example, yes, the reality of which you were telling me last night. When I was conjecturing at this point, the reflection of the duality of the... Let's jot this down. ...inter-duality might be deduced as yet undeveloped functional analysis of algebraic geometry. Yeah, yeah. Right? Yes, I can certainly see the line of... ...so you can see the line of thought. I can see the line of thought, and this is controlled speculation at its most important, and yeah, yeah. I'll just write a quick memoir on that before we go to do the shopping, because that's certainly something which we should discuss with Cartier, well and of course with the others as well, but Cartier is the obvious person to respond to that questioning, that line of thought. Yeah, I mean, he obviously is the obvious person.

1:15:00 Well, just as Angus is obviously the person to respond in the discussion of topology and to minimality, but Colin, I'm sure, and John will also have things on a more general philosophical perspective on that topic and its significance for the reintegration of mathematical knowledge that will, I'm sure, engender a... responses from you as well yeah i think those are two obvious topics okay i think we've got that i think that's pretty solid um yeah sure well that's the most useful thing you can do we don't return by the way no what is the time at the moment oh colin i'm just thinking we've got time to go up and do the uh get the uh those those things yeah and uh then have a lunch and It sounds like he isn't going to, it sounds like he said if he didn't call back then assume that he's going to get on the train to Wren, gets in 4.26, in which case we'll, I'll just check what time Angus's flight does get in. Well, yes, well, yeah, let me show you the map, I've got that. Oh, but, yeah, honestly, that's not a problem, because I go into red, you know, at least once a week. No, no, but I have to. Yeah, I know.