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The final part of the course will discuss Legendrian contact homology, confoliation concept, high-dimensional contact geometry, or different matters. Newton polyhedra connects the theory of convex polyhedra with algebraic geometry of toric varieties. For instance, Dehn–Zommerville duality for simple polyhedra leads to the computation of the cohomology ring of smooth toric varieties.
This is where we really profit from our earlier evaluation of language. University math majors usually regard Real Analysis as extraordinarily difficult, but most of the problems they encounter in the early days stem from not having made a prior research of language use, as we’ve here. The matter this week is the department of arithmetic often known as Number Theory.
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