IRIS Pol. TorinoIl sistema di repository digitale IRIS acquisisce, archivia, indicizza, conserva e rende accessibili prodotti digitali della ricerca.https://iris.polito.it2019-05-25T23:55:16Z2019-05-25T23:55:16Z10521Prima che accadahttp://hdl.handle.net/11583/26988102018-02-20T15:44:00Z2016-01-01T00:00:00ZTitolo: Prima che accada
Abstract: Un ebook dove si intrecciano studi d’avanguardia e personaggi-simbolo della scienza: lo scopo è raccontare alcune grandi avventure della scienza del XXI secolo e interrogarsi sulle sue prospettive. Soluzioni e problemi vanno di pari passo, insieme con speranze e paure collettive.
2016-01-01T00:00:00ZA new family of algebras whose representation schemes are smoothhttp://hdl.handle.net/11583/26416942018-09-03T08:55:38Z2016-01-01T00:00:00ZTitolo: A new family of algebras whose representation schemes are smooth
Abstract: We give a necessary and sufficient smoothness condition for the scheme parameterizing the $n$-dimensional representations of a finitely generated associative algebra over an algebraically closed field. In particular, our result implies that the points $M \in \mathrm{Rep}_A^n (k)$ satisfying $\mathrm{Ext}^2_A(M,M)=0$ are regular. This generalizes well-known results on finite-dimensional algebras to finitely generated algebras.
2016-01-01T00:00:00ZInvariant theory and projective geometryhttp://hdl.handle.net/11583/26023652018-09-03T09:36:13Z2013-01-01T00:00:00ZTitolo: Invariant theory and projective geometry
2013-01-01T00:00:00ZI numeri per prevedere la pandemiahttp://hdl.handle.net/11583/19581962018-09-03T08:11:59Z2009-01-01T00:00:00ZTitolo: I numeri per prevedere la pandemia
2009-01-01T00:00:00ZCome sono strategici i beni immaterialihttp://hdl.handle.net/11583/19968882018-09-03T08:11:45Z2009-01-01T00:00:00ZTitolo: Come sono strategici i beni immateriali
2009-01-01T00:00:00ZPersistent homology analysis of phase transitionshttp://hdl.handle.net/11583/26427262018-09-03T08:59:52Z2016-01-01T00:00:00ZTitolo: Persistent homology analysis of phase transitions
Abstract: Persistent homology analysis, a recently developed computational method in algebraic topology, is applied to the study of the phase transitions undergone by the so-called mean-field XY model and by the ϕ4 lattice model, respectively. For both models the relationship between phase transitions and the topological properties of certain submanifolds of configuration space are exactly known. It turns out that these a priori known facts are clearly retrieved by persistent homology analysis of dynamically sampled submanifolds of configuration space.
2016-01-01T00:00:00ZP-persistent homology of finite topological spaceshttp://hdl.handle.net/11583/26682672018-09-03T09:06:44Z9999-01-01T00:00:00ZTitolo: P-persistent homology of finite topological spaces
Abstract: Let P be a finite partially ordered set. We show that for any P-persistent object X in the category of finite topological spaces, there is a P-weighted graph, whose clique complex has the same P-persistent homology as X. We apply this to the study of weighted graphs vs persistence of their embedding into metric spaces.
9999-01-01T00:00:00ZGeneralized symmetric functions and invariants of matrices,http://hdl.handle.net/11583/16461412018-09-03T09:52:03Z2008-01-01T00:00:00ZTitolo: Generalized symmetric functions and invariants of matrices,
Abstract: We generalize the classical isomorphism between symmetric functions and invariants of a
matrix. In particular we show that the invariants over several matrices are given by a
the abelianization of the symmetric tensors over the free associative algebra. The main
result is proved by finding a characteristic free presentation of the algebra of symmetric tensors over a free algebra.
2008-01-01T00:00:00ZModuli of linear representations, symmetric products and the non commutative Hilbert scheme
in
Geometric Methods in Representation Theory, II
Michel Brion Editor
Séminaires et Congrès 24-II (2012)http://hdl.handle.net/11583/23799022018-09-03T09:07:52Z2012-01-01T00:00:00ZTitolo: Moduli of linear representations, symmetric products and the non commutative Hilbert scheme
in
Geometric Methods in Representation Theory, II
Michel Brion Editor
Séminaires et Congrès 24-II (2012)
Abstract: Let k be a commutative ring and let R be a commutative k-algebra. Let A be a R-algebra. We discuss the connections between the coarse moduli space of the n-dimensional representations of A, the non-commutative Hilbert scheme on A and the affine scheme which represents multiplicative homogeneous polynomial laws of degree n on A. We build a norm map which specializes to the Hilbert-Chow morphism on the geometric points when A is commutative and k is an algebraically closed field. This generalizes the construction done by Grothendieck, Deligne and others. When k is an infinite field and A=k[x_1,,x_m ]is the free k-associative algebra on m letters, we give a simple description of this norm map
2012-01-01T00:00:00ZData B Design to Evaluate a New Product Design and Development Processhttp://hdl.handle.net/11583/15544022018-09-03T07:52:11Z2005-01-01T00:00:00ZTitolo: Data B Design to Evaluate a New Product Design and Development Process
2005-01-01T00:00:00Z