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Non-commutative geometry

Course Code :2001WETNGQ
Study domain:Mathematics
Bi-anuall course:Taught in academic years starting in an even year
Academic year:2019-2020
Semester:2nd semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:English
Exam period:exam in the 2nd semester
Lecturer(s)Boris Shoykhet

3. Course contents *

We start with the problem of deformation quantization.
Then the Hochschild homology naturally appear, as well as their non-linear structure, the Gerstenhaber bracket.
We formulate the Kontsevich's formality theorem and show that its solution implies a solution of the deformation quantization problem.
We discuss the original proof by Kontsevich of his formality theorem.