19:43:31 Okay.
19:43:34 Okay.
19:43:35 Good. We've turned on transcripts. Okay, so I'm gonna welcome everybody who's here.
19:43:44 And so I'm going to share the screen now.
19:43:46 This is gonna be a short meeting.
19:43:49 So here's a website, and
19:44:00 take, So.
19:44:10 So, this is the main paper that we're discussing. Okay. So,
19:44:20 let me just.
19:44:24 I'm not going to go over and now I just want to show you what we're going to do next, but we're not going to do it today, because I want to do it more carefully.
19:44:33 Even though it's quite straightforward.
19:44:36 So, okay, the first section is about diagrams and pulse processes so that's the main, main thing.
19:44:46 And so in the beginning, there's some theorems but they're really just statements of theorems from this earlier paper by Robert and brown.
19:45:01 So this theorem one is in this paper is the same as theorem three in this previous paper.
19:45:09 So I think you know that, and so forth theorem two is same as them for so it's like to two units.
19:45:20 And so this is what we've covered so far.
19:45:25 Little bit more.
19:45:27 And we ended up with theorems six and seven.
19:45:36 And so that's where we are right now. Our serum six as proof is longer than it should be.
19:45:44 And here's theorem seven which says that the multiplicative spectrum
19:45:51 is the same as the eigenvalues of this matrix so if you have an element today with coordinates AI Alpha Phi rather than this matrix which you could multiply out, but it's better to write it in this form at the moment.
19:46:10 So here we're just talking about ordinary I can values. And so this is a key result.
19:46:19 And
19:46:22 so, the new material which I was supposed to do today but I need to rewrite it and make it a little more clear and so
19:46:37 I'm not gonna do it. And so we might have a very short meeting but we want to. So, thing is, I think most of you know by now that, especially with your projects that there's evolution of algebra this and di graphs, direct directed graphs, which are weighted
19:47:04 by numbers on the, on the
19:47:09 hedges.
19:47:12 Basically this the same thing, because you have an adjacent see matrix with a directed graph, which is weighted, and you have a structure matrix.
19:47:25 And you can identify those to just by taking the transpose for convenience.
19:47:32 But that doesn't change much.
19:47:36 So graphs.
19:47:38 Certain graphs and evolution hours are really on one correspondence, and that's where we're going. That's what this paper is trying to use as a tool to study, one or the other.
19:47:56 By studying the other one.
19:48:00 So, next time when we think I'll, I'll prepare this little better but actually there's nothing to prepare. It's just a translation of the notation.
19:48:13 And so there's nothing to prove.
19:48:16 but it's an important relationship and so we'll do that next time and.
19:48:24 And then after that we'll try to finish the paper before the end of the quarter.
19:48:30 So that's all I'm going to do on this. Now I'm going to stop sharing.
19:48:39 And I want to focus on the projects. Okay, so we're in the middle of week eight.
19:48:51 So what I'd like you to do.
19:48:55 I've sent each one of you an email with my suggestions for your project. Okay, what to focus on.
19:49:05 You don't have to take my advice, again.
19:49:12 And
19:49:12 so, of course you all have finals to think about and other things but you're still enrolled in this and so you need to do something.
19:49:24 So here's what I would like to do and then between now and next Wednesday.
19:49:29 I'd like each of you to arrange with me to have a one on one meeting to discuss your project to discuss your,
19:49:42 your progress or your or your, or how to proceed. and given some indication in the email that I sent you.
19:49:54 So that's what I like to do so. I haven't arranged, anything like that.
19:50:02 I would suggest when when you're ready to schedule something, send me an email and we'll schedule something and we'll have a one on one meeting to, it'll be like, in some sense a trial run but it's not like you have to be finished with your project.
19:50:20 You just have to have started on which I assume some of you may have already.
19:50:28 So that's this week and then that'll take us to the middle of week nine.
19:50:36 Then we have finals week.
19:50:40 So, a week later, we can start with the presentations.
19:50:47 And of course we can have another meeting if needed before that.
19:50:54 So, this is informal.
19:50:59 And when you are going to make a presentation.
19:51:05 It'll be announced and whoever wants to attend can attend, but they don't have to. they might learn something from it. Right.
19:51:19 So, Okay.
19:51:23 I think that that's all I wanted to say, we're going to have a very short meeting now.
19:51:30 And I had a long day. But that's beside the point.
19:51:34 The material that I'm talking about that we're doing next time is very.
19:51:42 There's nothing, nothing new there it's just changing from one language to another.
19:51:48 However, the material after that
19:51:52 is algebraic and and substantial.
19:51:57 So, okay.
19:52:01 So is it now that not everyone is here but I'm recording the meeting even transcribing it. I love to do that. Actually it's transcribing.
19:52:13 You know the captions.
19:52:15 They don't capture every word that's normal, because after all is just stupid machine.
19:52:24 But if you have the occasion to, if you need to watch a recording and you are if you missed a class.
19:52:33 And you want to watch the recording and you didn't quite get something at some point in the transcript you can locate it by the time.
19:52:44 There's a time.
19:52:47 Time on the transcription there's a time on the recording, so.
19:52:51 Okay. Any, any comments or questions,
19:52:58 because that's the only thing that that's the only other thing that I want to do right now.
19:53:04 I professor, I think it's actually awake now right now.
19:53:10 We're quick night yeah oh I miscalculated.
19:53:17 Okay, well you should know better than me.
19:53:21 Okay.
19:53:23 Um, well.
19:53:27 So, well, I guess we just have to leave it open and I'd like.
19:53:36 I mean,
19:53:36 during finals week, or even.
19:53:39 Let's see.
19:53:42 Well let's say between. So, between week nine and week 10 say from Wednesday to Wednesday, for example,
19:53:54 we can arrange these.
19:53:59 One to One zoom meetings to discuss how you would make your presentation or if you have any questions about it and this may take more than one meeting.
19:54:11 So, okay, well thank you for that correction So, and then the week after, it would be the presentations and we'll invite everybody who wants to attend.
19:54:26 That's in the class.
19:54:28 So, okay so let's just switches the timetable a little bit.
19:54:33 A lot actually. but.
19:54:37 Okay.
19:54:41 So, I'll wait to hear from you or I might I might try to. Well, we're all on different time, probably on different time.
19:54:55 Time Zones. so we can arrange the meetings, just by email individually. Okay.
19:55:03 So, when you're ready, or even when you're not ready. If you want to, we can just discuss.
19:55:09 I've looked at all the papers and sent sent to my suggestions.
19:55:15 I'm not. I haven't read every single detail.
19:55:21 So, we might have to do that.
19:55:24 And I'm not expecting you know, as you know, which is just focusing on one thing to one theorem say,
19:55:37 To to present one theorem. So, and of course your.
19:55:44 When you prepare it it's it's to be presented to somebody who may know nothing about evolution algebra so I mean that's that's not the case, because we all we all know.
19:55:56 So, what I mean is the basic concepts about evolution, because you don't have to
19:56:04 include me unless you want to, but if there's some concepts that we haven't studied obviously that that should be explained.
19:56:17 Okay.
19:56:19 So, Any, any other comments before we adjourn.
19:56:28 So I'll wait to hear from you. And it's Wednesday now week nine so finals start on Monday, if not sooner.
19:56:39 So you're going to be busy. And so, the schedule is quite flexible.
19:56:47 If you want to wait till your finals are over, that's okay too.
19:56:52 But I think we should have at least one meeting before your presentation and during your presentation.
19:57:03 When it happens, how will you know I may ask you some questions.
19:57:13 No, so it'd be like on it, of course, yeah, anyone can ask a question, but. So how long should these presentations be
19:57:25 20 minutes, half hour.
19:57:28 45 minutes if you want.
19:57:31 It takes time to fill in some details so it's tricky.
19:57:36 So everything is flexible and a big experiment I've never done this before.
19:57:42 And this way.
19:57:44 So,
19:57:48 yeah, some of these papers are not so easy to follow.
19:57:53 I mean, I tried to pick ones that are not too complicated.
19:58:01 That wasn't always possible, so that that's one thing we can discuss when, when we have the, the permanent preliminary meeting.
19:58:15 Okay.
19:58:17 Anything else.
19:58:22 If you have a question or anything about procedure or heart, or about your paper.
19:58:31 But I know it's a bad time, it's fine host time so it's very flexible.
19:58:41 And we have.
19:58:42 We haven't all you know the week after finals week at least till about Wednesday.