In the first part of this thesis we give some comparison results about Dg-categories, A∞-categories and stable ∞-categories. In the second part we introduce the theory of noncommutative motives and we solve the Voevodsky nilpotence conjecture for cubic 4folds and some GM-4folds.
COMPARISON RESULTS ABOUT DG-CATEGORIES, A∞-CATEGORIES, STABLE ∞-CATEGORIES AND NONCOMMUTATIVE MOTIVES
ORNAGHI, MATTIA
2018
Abstract
In the first part of this thesis we give some comparison results about Dg-categories, A∞-categories and stable ∞-categories. In the second part we introduce the theory of noncommutative motives and we solve the Voevodsky nilpotence conjecture for cubic 4folds and some GM-4folds.File in questo prodotto:
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phd_unimi_R10829.pdf
Open Access dal 09/09/2018
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.14242/73210
Il codice NBN di questa tesi è
URN:NBN:IT:UNIMI-73210