Chiara ESPOSITO | TEORIA DELLA FORMALITA'
Chiara ESPOSITO TEORIA DELLA FORMALITA'
cod. 8860300007
TEORIA DELLA FORMALITA'
8860300007 | |
DIPARTIMENTO DI MATEMATICA | |
Corso di Dottorato (D.M.226/2021) | |
MATHEMATICS | |
2022/2023 |
YEAR OF COURSE 1 | |
YEAR OF DIDACTIC SYSTEM 2022 | |
FULL ACADEMIC YEAR |
SSD | CFU | HOURS | ACTIVITY | |
---|---|---|---|---|
MAT/03 | 2 | 10 | LESSONS |
Objectives | |
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THE MAIN GOAL OF THIS COURSE IS THE KONTSEVICH FORMALITY THEOREM, WHICH CLAIMS THAT ANY POISSON MANIFOLD ADMITS A CANONICAL QUANTIZATION. |
Prerequisites | |
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- BASIC DIFFERENTIAL GEOMETRY - LIE ALGEBRAS |
Contents | |
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- DEFORMATIONS VIA DGLAS - L-INFINITY ALGEBRAS - HKR THEOREM - FORMALITY THEOREM |
Teaching Methods | |
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THE FUNDATION OF THIS THEORY WILL BE EXPLAINED DURING STANDARS LECTURES. AFTERWARDS, EVERY STUDENT WILL BE SUPERVISED IN THE PREPARATION OF A SPECIFIC SEMINAR. |
Verification of learning | |
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SEMINAR CONCERNING ONE OF THE SPECIFIC TOPICS SKETCHED DURING THE LECTURES |
Texts | |
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FORMALITY THEORY, FROM POISSON STRUCTURES TO DEFORMATION QUANTIZATION. HTTPS://LINK.SPRINGER.COM/BOOK/10.1007/978-3-319-09290-4 |
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