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Some weirdly well behaving rings

Friday, March 17, 2017 - 16:30 to 17:30
Mathematics Seminar Hall
Vaibhav Pandey
NISER alumnus
Some weirdly well behaving rings

We consider certain rings of smooth functions on a nice space, like a circle, and try to explore its algebraic nature using the smoothness of these functions. As a motivation for this, recall the ring C[0,1] of continuous real valued function on [0,1]. Recall how we prove that its maximal ideals (algebraic structure) are points using the compactness (topological structure) of [0,1].Only basic knowledge of ring theory and analytic functions is required, however, even these 2 topics will be revised in the beginning of the talk.

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