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Mathematicians Explore Mirror Link Between Two Geometric Worlds

quantamagazine.org

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Re: Mathematicians Explore Mirror Link Between Two Geometric Worlds

#21
" algebraic geometry is like plotting the equation of a circle" this description and definition is as helpful and accurate as saying a circle is approximated by a square. Pop math writers need to stop likening something as complicated as algebraic geometry to high school algebra.

Re: Mathematicians Explore Mirror Link Between Two Geometric Worlds

#22
post #19

Earlier quoted context omitted.

Wait, what? Are you claiming that mirror symmetry is "secretly" Langlands? This is not my understanding, and I'd appreciate a citation if you are indeed making that claim. Moreover, it does not seem to me that, for example, the Clay Millennium problems are all glosses on the same underlying problem, so I'm a bit confused by your statement.

> Wait, what? Are you claiming that mirror symmetry is "secretly" Langlands? There is a geometric analogue to the Langlands correspondence called "geometric Langlands correspondence": > https://en.wikipedia.org/wiki/Geometric_Langlands_correspond... There is a relationship beetween the geometric Langlands correspondence and S-duality > https://en.wikipedia.org/wiki/S-duality a duality that is considered in string the…

I would like to read more on this, do you have any further references?
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