TEORIA DELLA FORMALITA'

Chiara ESPOSITO 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
CFUHOURSACTIVITY
210LESSONS
Objectives
THE MAIN GOAL OF THIS COURSE IS THE KONTSEVICH FORMALITY THEOREM, WHICH CLAIMS THAT ANY POISSON MANIFOLD ADMITS A CANONICAL QUANTIZATION.
Prerequisites
- BASIC DIFFERENTIAL GEOMETRY
- LIE ALGEBRAS
Contents
- DEFORMATIONS VIA DGLAS
- L-INFINITY ALGEBRAS
- HKR THEOREM
- FORMALITY THEOREM
Teaching Methods
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
SEMINAR CONCERNING ONE OF THE SPECIFIC TOPICS SKETCHED DURING THE LECTURES
Texts
FORMALITY THEORY, FROM POISSON STRUCTURES TO DEFORMATION QUANTIZATION. HTTPS://LINK.SPRINGER.COM/BOOK/10.1007/978-3-319-09290-4
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