Quantization in Characteristic p

Student: Molokov Semen

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2017

We present two important results achieved by R. Bezrukavnikov and D. Kaledin in "Fedosov quantization in positive characteristic". To obtain the second result one lemma is needed. We find an explicit connection between two canonical quantized polynomials and use it to give a new proof of this technical lemma. Some necessary results about crystalline differential operators are given. We also make an effort to fix one minor flaw in their work.

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