Inter-universal geometry と ABC予想 (応援スレ) 71

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 71 (1002ﾚｽ)
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804: 2024/07/13(土)10:30 ID:JlPaxlSt(6/7) AA×

804:  [] 2024/07/13(土) 10:30:01.25 ID:JlPaxlSt

つづき

so so you want me to say a few things about
the indeterminacies
so so um right so the
the various kinds of in determinacies that but in fact the most
um important in determinacy is what is called the M3 indeterminacy which arises
from the logarithm
is that uh so
um if you think of the situation where R is the uh
the Ring of integers um uh a local field work
um
uh in that sort of situation so here we're
reconstructing so the common data that we have that's
the input data for the Reconstruction is basically because of monoids and oh I'm
sorry um and Abstract groups so but we would also
like to reconstruct the additive spectrum and so at the local level the
logarithm allows one to pass from The Notebook of monoid of units to the uh
the average structure of the local field and
so on the other hand [Music] um what was the sort of act as if
um one doesn't need to do this so in other words
will wants to consider invariance with respect is let's say one wants to
consider objects that um where you can't tell the difference
between not being anything and that gives rise to uh
if you think about the way the Piano Works um on our units
so in in you how's this a very non-trivial
transformation but but um there's an
the important observation is that there's an upper bound if you apply the logarithm and then take the units again
it's a you can never leave the hell upon it's very complicated to if you try to
trace the hidden element is that there are always
some uh and combat set which is the large cells
and [Music] um uh
so this is looking at this up or down to my inequality
so it's not [Music] um
[Music]
and uh uh so although there are many uh
there are many independencies that occur in the UT sort of from the point of view
of even numerically from the point of view uh uh
uh balance of the heights uh on the height uh the main contribution is from
this industry religions together
a normal normal questions comments
so uh I guess [Music]
1:02:47
let's thank the speaker again thanks thank you very much
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