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On the website of the Berkeley mathematics department there is mention (see this) of a colloquium held on november 5, 2020 (by Zoom) whose speaker was Shinichi Mochizuki, with a talk titled "Classical Roots of Inter-universal Teichmüller Theory". The corresponding slides seem to be online (see t...
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In their seminal paper on translation planes (The Construction of Translation Planes from Projective Spaces, Journal of Algebra 1:85-102, 1964, https://doi.org/10.1016/0021-8693(64)90010-9), Bruck and Bose proved that every translation plane coordinatized by a quasifield that is finite-dimensiona...
In mathematics, a quasifield is an algebraic structure
(
Q
,
+
,
⋅
)
{\displaystyle (Q,+,\cdot )}
where + and
⋅
{\displaystyle \cdot }
are binary operations on Q, much like a division ring, but with some weaker conditions. All division rings, and thus all fields, are quasifields.
== Definition ==
A quasifield
(
Q
,
+
,
⋅
)
{\displaystyle (Q,+,\cdot )}
is a structure, where...
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