Hochschild Cohomology of Differential Operators over ℤ/p^n\ℤ

Student: Terentiuk Gleb

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2020

For a smooth affine symplectic variety over a field of positive characteristic with an Azumaya algebra on it and its deformation quantization A we compare the Hochschild cohomology of $A/p^n A$ with the de Rham-Witt complex of the structure sheaf. In particular, we compute the Hochschild cohomology of differential operators modulo $p^n.$

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