  Guerra  Highway  majestic  Euro   Regal   Regal  Regal  Regal  Regal  Regal  Regal To the case where M is, M has a normal form along a divisor, along a normal crossing divisor, divisor. To the case where M is, M has a normal form along a normal crossing divisor, divisor. To the case where M is, M has a normal form along a normal crossing divisor, along a normal crossing divisor, along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor, along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor, along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor, along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. To the case where M is, M has a normal form along a normal crossing divisor. So how do you normalize the RAM? The RAM is, in a linear quantum case, that is a power shift. Power shift, so the Cx dx is a power shift. And the solution is not progressive also? Shifted by dx. So the solution of Ox is Cx. The drama of Ox is, yeah. So that part, yeah, for example, when x is y, so F inverse solution of M is star M, and F shrieked from the M. I think here there is some shift, I think. I can't remember. dx minus dy, I think. Yeah. Anyway. So in the second formula there is a shift. Yes. Shift, I think. I think dx or x-point and no shift. Yeah, I think the shift. You forget that two twice there, okay? No, I can't remember for that. Yeah. What I'm going to say. Yeah, I think I'll tell it. Yeah. There are other things to tell. I think that is almost the fundamental part of the theory. And so perhaps I will stop it. But I think, so there are some problems that are not yet solved, is the following. So by this theorem, yeah, first I should say that. So drum xe gives dx to xx. So that is phase four. So that is a problem by this theorem. So that is. So the problem is, I think I know more or less the solution, but how to express it in a very proper way. That's the problem. But anyway, so the problem is to characterize the image topologically. Topologically or, of course, it depends on the complex structure of x topologically. Like, I think better to tell it. So the real or holonomic case, as you know, that constructively isomorphic and dd holonomic dx and enhanced this one. And there is this function. So that is f equals to cx e by inverse f. And that case I commutes. So they are free faithful. They are equivalent. They are free faithful. They are free faithful. And so we can ask how to characterize the image topologically. Topologically means similar to the constructives. And, of course, the next problem is to give topologically a corresponding structure. So there is a category of holonomic modules. They have a canonical structure. And so what is a corresponding structure? So those are the, yeah. You know it in dimension one on curve. Yes? Do you know the answer on curve? Yeah, that is very well known. So yeah, I can say a conjecture purpose. So the image is equivalent to what is equal to, or I don't know how to say, to k equal to the full subcategory. System of k. Let's touch that. So x has a stratification. Good stratification was by the filtration or by compressive manifold. Good one. And so there is this stratification. And each x alpha has a local finite in x. Local finite subanalytic open covering. So the stratification of x is global or local? Global, yeah. Yeah, yeah, global. I think the local infinite is global. Anyway, and if here I set that. Anyway, let me set that. No, no, no. So A is some index set. So that is A is one of two. k is a c u, p plus p minus c u e i, I'm sorry. So locally, so if you restrict to ui, then that is a canonical, that comes from the canonical one. So that's a quick point to the exponential model. I think that is true. I know that the image is confirming there. Image? Which image? You mean when you say? So you mean image? Okay, so it means the... You know what you call? Yes, essentially. Okay. You know that one inclusion? One inclusion is clear. So the image is satisfied to this condition. That is known. That is in fact the theorem of Kedrayer or that implies Kedrayer and Mochizuki. But I think, yeah, but anyway, I don't think it's difficult, but I'm ready. It's not purely topology, it's not purely topology. No, no, it's impossible. Of course, the complex structure counts. Yeah, in this case also. Yeah, I think... And yeah, I think it's almost, yeah. I hope that there is... I'm now mainly working in the representation theory and I think that there should be some applications of theory and to others, but that is our future work. Okay, thank you very much for... Thank you very much. Questions or comments? Let me see. I think so. I think so, yeah. So, what he proved is... So, this one, right? Yeah, but that you can calculate. There is dv dx. Oh, yeah. I think that is... I don't know, drama. I'm not quite sure. I think something like that. But a little bit there is some harmony. So, if you write at the complex conjugate, then the Ram XFM is solution of XM complex conjugate, I think. That is, yeah. That is so... Of course, they are iterated, but that can't be a proof. No, it's... Yeah, maybe, yeah. So, the question is... So, M conjugate is what? Is it an anomaly? Pardon? What do you know about M conjugate? Is it an anomaly complex conjugate? Ah, yes. So, that theorem says, if M is a holonomic demodule, then that is concentrated in degrees 0 and holonomic. And what you wrote home in is what? Is theorem or the second line? Yeah, I think that is... Yeah, I think that is true. It's conjecture. I think it's almost... Who can say so better? I think that is true also. Or who can say conjecture? Yeah, it's complex conjugate. Because there is some info, but there is a different question, so... No, no, no. It's complex conjugate. So, topologically, they are equal. And when you write M conjugate equal at home, I don't... The second line, what is it? Is it theorem or...? Well, which is it? I haven't... Yeah, which is it's conjecture. Let me see. I think that we can prove it, I think. But I don't know for the shift, there are so many things. So, it's more or less equal. I don't know for the shift. Yeah. So, what was the question of concept? No, I just... Ah, yeah, no. His question is... So, Mochidiki proved those kind of things. You mean that this is autonomic? Chronomic and concentrative in degrees. So, the categories are equivalent. And so, by using those kind of enhanced sheaves, I can prove it as a similar statement, the same statement or not. And I think it's solved better. I think we can, but... Yeah, basically we can better. I think it's still not... I think for example, we have to solve this conjecture otherwise it's impossible. Do you know what are the better subjects in enhanced? Structural. Because there you said that there is only one... There is a conjecture, but... Conjecture is... Let me see. I can remember very... So, there might be some... Yeah. So, you... Let me see. So, say M is a real manifold. So, you know the middle property. So, middle property is... So, F is, say, real or sub-analytic. F is... Let me see. See. It means HKF, support of dimension. Let me see. It is smaller than... Let me see. It's larger than... Smaller than... That's correct, I think. I think that is correct. F is... No, no. I think that is... There can be some mistake. Plus, minus or... I can remember it very well. So, she is, let's say... There is some... And this M is... D is... And so, for enhanced case, so you replace. So, for F is... I'm not very precise. And I think the conjecture is... Is this the definition or it comes from... No, the definition. And the theorem is... That gives the structure. The structure... I don't know. Half integer, so it's not exactly the structure. What are the structures? I don't know. Yeah, so this and the... No, no, no. So that is the structure. Use your structure. Anyway, it's like... And the conjecture is... Anomic. And M... You wrote half. You wrote half C minus K. But, in fact, you have to pass on the complex, the real dimension. So... Real dimension? Real dimension, but the complex dimension is... Half the real dimension. Yeah, so it's half. No, that doesn't seem to me. Because if... Contrary? Contrary, contrary. Contrary, I'm sorry, I'm sorry. Yeah, you are right. Yeah, yeah, contrary. Yeah, of course. It must be... Then you say that you have to take... Minus and half? I'm not... The sign might be different. I cannot remember by heart. I think it's something like that. I think... But then there is nowhere to find the real velocity. There is two... Two structures. Yeah, two structures. So you take half integer. You take Z, or the other person from half. Yeah, so you can combine it. So if you take Z... So what is the conjecture? Conjecture is... M is in this... M is in this... M is in this... Yeah. Yeah. That part is... It is... And you don't have... You don't have... Because there are dual statements. Yeah, yeah, yeah. So one is... Enough. Yeah, the dual of this one is... Yeah, that's... For this one also. I mean... Yeah, yeah. So one of the... You can use it. Yeah, the other is a consequence. So that is a conjecture. But I think it's more or less... Yeah.