Geometria differenziale e complessa
Differential and Complex Geometry
Componenti
- Fino Anna Maria (Coordinatore Scientifico)
- Vezzoni Luigi (Componente)
- Pacini Tommaso (Componente)
- Buzano Reto (Componente)
- Suarez Ricardo Benjamin (Dottorando)
- Raffero Alberto (Componente)
- Asia Mainenti (Dottorando)
- Fusi Elia (Dottorando)
- Brienza Beatrice (Dottorando)
- Radeschi Marco (Componente)
- Gentili Giovanni (Assegnista)
- Fowdar Udhav (Assegnista)
- Mainenti Asia (Dottorando)
Settore ERC
Attività
L'attività scientifica riguarda principalmente lo studio di strutture speciali in varietà reali e complesse con particolare attenzione a problemi di natura geometrica come equazioni ellittiche (equazione di Monge-Ampere reale e complessa, equazione di Calabi-Yau…) e equazioni di evoluzione (flusso di Ricci, flusso del Laplaciano…).
Settori ERC : PE1_4 Algebraic and complex geometry, PE1_5 Geometry, PE1_7 Lie groups, Lie algebras
Linee di ricerca: Studio di strutture speciali su varietà. Studio di problemi analitici in varietà reali e complesse: PDE su varietà compatte. Gruppi e algebre di Lie: Studio di strutture geometriche su gruppi di Lie nilpotenti e risolubili e loro quozienti compatto; classificazioni di strutture speciali su gruppi e algebre di Lie.
Collaborazioni con altre Università
Università italiane:
- Politecnico di Torino,
- Università di L'aquila,
- Università di Firenze,
- Università di Parma,
- Scuola Normale Superiore di Pisa,
- Università di Palermo,
- Università di Lecce,
- Università di Cagliari.
- Università di Milano.
Università estere:
- University of Oregon (USA),
- FaMAF (Argentina),
- University of Bilbao (Spain),
- University of Zaragoza (Spain),
- Florida International University Miami (USA),
- Universidade de São Paulo (Br),
- King's College (London),
- Rutgers University (USA),
- University College of London.
Progetti di Ricerca
- PRIN 2017: "Real and Complex Manifolds: Topology, Geometry and holomorphic dynamics", [link] responsabile dell'unità: Anna Fino
- FIRB: "Geometria Differenziale e Teoria Geometrica delle funzioni". [link] Co-PI: Luigi Vezzoni.
- Progetto Europeo: FP7-PEOPLE-2012-IEF n. 332209 EDSRGff "Exterior Differential Systems of Riemannian Geometry" (Marie Curie fellowship of Rui Albuquerque, con data d'inizio il 9 Settembre 2013.) PI: Anna Fino.
Organizzazione di workshops
- "Workshop Firb", 23-25 October 2013, University of Florence [link]
- ''Giornata di Geometria Torino-Milano", 7 Giugno 2013
- Oberwolfach Mini-Workshop "Quaternion Kähler Structures in Riemannian and Algebraic Geometry", Oberwolfach (Germania), 3-9 Novembre 2013.
- Carnival Differential Geometry School, Torino, 24-27 Febbraio 2014.
- Workshop Complex Geometry and Lie Groups, Torino, 16-20 Giugno 2014.
- Sessione speciale "Symplectic geometry and special metrics" al First Joint International Meeting RSME-SCM-SEMA-SIMAI-UNI, Bilbao, 30 Giugno - 4 Luglio 2014.
- New perspectives in Differential Geometry, INdAM Workshop, Roma, 16-20 November 2015.
- The IV Workshop "Complex Geometry and Lie Groups", Nara, Giappone, 22-26 Marzo 2016
- A Differential Geometry Day in memory of Sergio Console, 13 Maggio 2016.
-
Sessione Speciale "Geometric Structures, Lie Theory and Applications " al The first Joint Meeting Brazil - Italy in Mathematics, IMPA, Brasile, 29 Agosto- 2 Settembre 2016.Differential Geometry Days, Torino, 5- 7 Aprile 2017.
- Differential Geometry Days, Torino, 5- 7 Aprile 2017.
- Pluripotential Theory, Geometric Analysis and Calibrated Geometry, Torino, 2-4 Maggio 2018.
- The 5th Workshop "Complex Geometry and Lie Groups", Firenze, 11-15 Giugno 2018.
- Geometries with torsion, Torino, 21 Settembre 2018.
- Differential Geometry Day - Workshop and School, Torino, 12 Aprile 2019.
- Bridging the Gap between Kaehler and non-Kaehler Complex Geometry, BIRS, 27 Ottobre -1 Novembre 2019.
- The 6th Workshop "Complex Geometry and Lie groups", Toki Messe, Niigata, online, 15-20 Febbraio 2021.
- A Geometric Analysis Meeting at UniTO, 15-17 Giugno 2022.
Corsi avanzati
- Corso di dottorato: S. Console, A. Fino, Flusso di Ricci e strutture Geometriche speciali, 2013.
- Corso di dottorato: A. Raffero, Gruppi di olonomia in geometria Riemanniana, 2019
- Corso di dottorato: A. Fino, A Raffero,Topological properties of manifolds with exceptional holonomy, 2020.
Prodotti della ricerca
On nearly parallel G_2-manifolds: formality and associative submanifolds
In corso di stampa Marisa Fernandez; Anna Fino; Alexei Kovalev; Vicente Munoz https://iris.unito.it/handle/2318/1944590
Optical geometries
In corso di stampa Anna Fino; Arman Taghavi-Chabert; Thomas Leistner https://iris.unito.it/handle/2318/1944592
Closed G_2-Structures on Unimodular Lie Algebras with Non-trivial Center
In corso di stampa Fino A.; Raffero A.; Salvatore F. https://iris.unito.it/handle/2318/1850013
CYT and SKT metrics on compact semi-simple Lie groups
2023-01-01 A. Fino, G. Grantcharov https://iris.unito.it/handle/2318/1906034
Exact G_2-structures on compact quotients of Lie groups
2023-01-01 A. Fino, L. Martin-Merchan , A. Raffero https://iris.unito.it/handle/2318/1872459
Almost Robinson geometries
2023-01-01 A. Fino, A. Taghavi-Chabert, T. Leistner https://iris.unito.it/handle/2318/1906033
Hermitian structures on a class of almost nilpotent solvmanifolds
2022-01-01 Fino, Anna; Paradiso, Fabio https://iris.unito.it/handle/2318/1871398
Infinite families of homogeneous Bismut Ricci flat manifolds
In corso di stampa Fabio Podestà; Alberto Raffero https://iris.unito.it/handle/2318/1890774
Special solutions to the Type IIA flow
In corso di stampa Alberto Raffero https://iris.unito.it/handle/2318/1941150
Bismut Ricci flat manifolds with symmetries
2023-01-01 Fabio Podestà; Alberto Raffero https://iris.unito.it/handle/2318/1890772
Purely coclosed G_2 -structures on 2-step nilpotent Lie groups
2022-01-01 del Barco V.; Moroianu A.; Raffero A. https://iris.unito.it/handle/2318/1786699
On the Dynamical Behaviour of the Generalized Ricci Flow
2021-01-01 Raffero A.; Vezzoni L. https://iris.unito.it/handle/2318/1786700
Closed G_2-structures with a transitive reductive group of automorphisms
2021-01-01 Podestà, Fabio; Raffero, Alberto https://iris.unito.it/handle/2318/1877697
Homogeneous 8-manifolds admitting invariant Spin(7)-structures
2020-01-01 Dmitri Alekseevsky, Anna Fino, Ioannis Chrysikos, Alberto Raffero https://iris.unito.it/handle/2318/1758403
Remarks on homogeneous solitons of the G_2-Laplacian flow
2020-01-01 Anna Fino; Alberto Raffero https://iris.unito.it/handle/2318/1758419
On G2-Structures, Special Metrics and Related Flows
2020-01-01 Fernandez M.; Fino A.; Raffero A. https://iris.unito.it/handle/2318/1742543
On the automorphism group of a closed G2-structure
2019-01-01 Podestà, Fabio; Raffero, Alberto https://iris.unito.it/handle/2318/1676269
On the automorphism group of a symplectic half-flat 6-manifold
2019-01-01 Podestà, Fabio; Raffero, Alberto* https://iris.unito.it/handle/2318/1684879
Homogeneous symplectic half-flat 6-manifolds
2019-01-01 Podestà, Fabio; Raffero, Alberto* https://iris.unito.it/handle/2318/1676268
Special Types of Locally Conformal Closed G2-Structures
2018-01-01 Bazzoni, Giovanni; Raffero, Alberto https://iris.unito.it/handle/2318/1684878
Convexity theorems for the gradient map on probability measures
2018-01-01 Biliotti, Leonardo*; Raffero, Alberto https://iris.unito.it/handle/2318/1676270
A remark on the quaternionic Monge-Ampère equation on foliated manifolds
2023-01-01 Giovanni Gentili; https://iris.unito.it/handle/2318/1866344
On the pluriclosed flow on Oeljeklaus-Toma manifolds
2022-01-01 Fusi, E; Vezzoni, L https://iris.unito.it/handle/2318/1934410
Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures
2022-01-01 A. Fino, N. Tardini, Luigi Vezzoni https://iris.unito.it/handle/2318/1877313
A parabolic approach to the Calabi-Yau problem in HKT geometry
2022-01-01 Lucio Bedulli, Giovanni Gentili, Luigi Vezzoni https://iris.unito.it/handle/2318/1865468
The quaternionic Calabi Conjecture on abelian Hypercomplex Nilmanifolds Viewed as Tori Fibrations
2022-01-01 Giovanni Gentili; https://iris.unito.it/handle/2318/1797277
Solutions to the Hull-Strominger system with torus symmetry.
2021-01-01 A.Fino, G. Grantcharov, L. Vezzoni https://iris.unito.it/handle/2318/1829954
Hermitian curvature flow on unimodular lie groups and static invariant metrics
2020-01-01 Lafuente R.A.; Pujia M.; Vezzoni L. https://iris.unito.it/handle/2318/1758226
Stability of geometric flows of closed forms
2020-01-01 Bedulli L.; Vezzoni L. https://iris.unito.it/handle/2318/1728632
Quantitative stability for hypersurfaces with almost constant mean curvature in the hyperbolic space
2020-01-01 Ciraolo G.; Vezzoni L. https://iris.unito.it/handle/2318/1758228
A remark on the Laplacian flow and the modified Laplacian co-flow in G 2 -geometry
2020-01-01 Bedulli L.; Vezzoni L. https://iris.unito.it/handle/2318/1758227
A scalar Calabi-type flow in Hermitian geometry: short-time existence and stability
2020-01-01 Bedulli, L; Vezzoni, L https://iris.unito.it/handle/2318/1797265
On the umbilic set of immersed surfaces in three-dimensional space forms
2020-01-01 Catino G.; Roncoroni A.; Vezzoni L. https://iris.unito.it/handle/2318/1765844
Bubble-Tree Convergence and Local Diffeomorphism Finiteness for Gradient Ricci Shrinkers
2023-01-01 Reto Buzano; Louis Yudowitz https://iris.unito.it/handle/2318/1908290
Gaussian upper bounds for the heat kernel on evolving manifolds
2023-01-01 Buzano R.; Yudowitz L. https://iris.unito.it/handle/2318/1928530
Geometric convergence results for closed minimal surfaces via bubbling analysis
2022-01-01 Lucas Ambrozio, Reto Buzano, Alessandro Carlotto, Ben Sharp https://iris.unito.it/handle/2318/1808277
A Local Singularity Analysis for the Ricci Flow and its Applications to Ricci Flows with Bounded Scalar Curvature
2022-01-01 Reto Buzano; Gianmichele Di Matteo https://iris.unito.it/handle/2318/1831385
The moduli space of two-convex embedded spheres
2021-01-01 Buzano R.; Haslhofer R.; Hershkovits O. https://iris.unito.it/handle/2318/1808250
Global regularity of second order twisted differential operators
2020-01-01 Ernesto Buzano; Alessandro Oliaro https://iris.unito.it/handle/2318/1716633
On the topology of leaves of singular Riemannian foliations
2023-01-01 Radeschi, Marco; Khalili Samani, Elahe https://iris.unito.it/handle/2318/1945037
Maximality of Laplacian algebras, with applications to Invariant Theory
2023-01-01 Mendes R.A.E.; Radeschi M. https://iris.unito.it/handle/2318/1945018
How highly connected can an orbifold be?
2022-01-01 Lange, Christian; Radeschi, Marco https://iris.unito.it/handle/2318/1945038
ON THE STRUCTURE OF BESSE CONVEX CONTACT SPHERES
2022-01-01 Mazzucchelli, M; Radeschi, M https://iris.unito.it/handle/2318/1945033
Polar foliations on symmetric spaces and mean curvature flow
2022-01-01 Liu X.; Radeschi M. https://iris.unito.it/handle/2318/1945031
Odd-dimensional orbifolds with all geodesics closed are covered by manifolds
2021-01-01 Amann M.; Lange C.; Radeschi M. https://iris.unito.it/handle/2318/1945036
Torus actions on rationally elliptic manifolds
2021-01-01 Galaz-Garcia F.; Kerin M.; Radeschi M. https://iris.unito.it/handle/2318/1945022
Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem
2020-01-01 Mendes R.A.E.; Radeschi M. https://iris.unito.it/handle/2318/1945019
SINGULAR RIEMANNIAN FOLIATIONS AND THEIR QUADRATIC BASIC POLYNOMIALS
2020-01-01 Mendes R.A.E.; Radeschi M. https://iris.unito.it/handle/2318/1945016
Virtual immersions and minimal hypersurfaces in compact symmetric spaces
2020-01-01 Mendes R.A.E.; Radeschi M. https://iris.unito.it/handle/2318/1945025
Ricci curvature, the convexity of volume and minimal Lagrangian submanifolds
In corso di stampa Tommaso Pacini https://iris.unito.it/handle/2318/1948193
Extremal length in higher dimensions and complex systolic inequalities
2021-01-01 Pacini, Tommaso https://iris.unito.it/handle/2318/1743429
Fernández, Marisa, Fino, Anna, Raffero, Alberto
Exact G2-structures on unimodular Lie algebras.
https://iris.unito.it/handle/2318/1739993
Fino, Anna, Raffero, Alberto
A Class of Eternal Solutions to the G_2-Laplacian Flow.
https://iris.unito.it/handle/2318/1742537
Anna, Fino, Alberto, Raffero (2020)
Closed warped G2-structures evolving under the Laplacian flow.
https://iris.unito.it/handle/2318/1655103
Mari, Luciano, Pessoa, Leandro de Freitas (2020)
Duality between Ahlfors-Liouville and Khas'minskii properties for nonlinear equations.
https://iris.unito.it/handle/2318/1693164
Colombo, Giulio, Mari, Luciano, Rigoli, Marco (2020)
Remarks on mean curvature flow solitons in warped products.
https://iris.unito.it/handle/2318/1721876
Anna, Fino, Gueo, Grantcharov, Luigi, Vezzoni (2019)
Astheno-Kähler and balanced structures on fibrations.
https://iris.unito.it/handle/2318/1655292
Anna Fino, Alberto Raffero (2019)
Closed G_2-structures on non-solvable Lie groups.
https://iris.unito.it/handle/2318/1687784
Fino, Anna, Kath, Ines (2019)
Holonomy groups of G_2^*-manifolds.
https://iris.unito.it/handle/2318/1648971
Ugo Bruzzo, Anna Fino, Pietro Frè, Pietro Antonio Grassi, Dimitri Markushevich (2019)
Crepant resolutions of ℂ^3∕Z_4 and the generalized Kronheimer construction (in view of the gauge/gravity correspondence).
https://iris.unito.it/handle/2318/1735436
Ambrozio, Lucas, Buzano, Reto, Carlotto, Alessandro, Sharp, Ben (2019)
Bubbling analysis and geometric convergence results for free boundary minimal surfaces.
https://iris.unito.it/handle/2318/1721873
Buzano, Reto, Haslhofer, Robert, Hershkovits, Or (2019)
The Moduli Space of Two-Convex Embedded Tori.
https://iris.unito.it/handle/2318/1701051
Buzano, Reto, Nguyen, Huy The (2019)
The Higher-Dimensional Chern–Gauss–Bonnet Formula for Singular Conformally Flat Manifolds.
https://iris.unito.it/handle/2318/1701050
Buzano, R, Nguyen, HT (2019)
The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds.
https://iris.unito.it/handle/2318/1726079
Pujia, Mattia, Vezzoni, Luigi (2018)
A remark on the Bismut–Ricci form on 2-step nilmanifolds.
https://iris.unito.it/handle/2318/1669073
LEONARDO BAGAGLINI, MARISA FERNANDEZ, ANNA FINO (2018)
Coclosed G_2-structures inducing nilsolitons.
https://iris.unito.it/handle/2318/1650362
Fino Anna Maria, Grantcharov Gueo, Verbitsky Misha (2018)
Algebraic dimension of complex nilmanifolds.
https://iris.unito.it/handle/2318/1648949
Leonardo Bagaglini, Anna Fino (2018)
The Laplacian coflow on almost-abelian Lie groups.
https://iris.unito.it/handle/2318/1671139
Anna Fino, Ines Kath (2018)
Local Type I Metrics with Holonomy in G_2^*.
https://iris.unito.it/handle/2318/1672300
Buzano, Reto, Sharp, Ben (2018)
Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area.
https://iris.unito.it/handle/2318/1701049
Bedulli, Lucio, He, Weiyong, Vezzoni, Luigi (2018)
Second-Order Geometric Flows on Foliated Manifolds.
https://iris.unito.it/handle/2318/1669075
Ciraolo, Giulio, Vezzoni, Luigi (2018)
A sharp quantitative version of Alexandrov’s theorem via the method of moving planes.
https://iris.unito.it/handle/2318/1619654
Jason D Lotay, Tommaso Pacini
From Lagrangian to totally real geometry: coupled flows and calibrations.
https://iris.unito.it/handle/2318/1742231
Buzano, Reto, Rupflin, Melanie (2017)
Smooth long-time existence of Harmonic Ricci Flow on surfaces.
https://iris.unito.it/handle/2318/1701048
Mantegazza, Carlo, Müller, Reto (2015)
Perelman's entropy functional at Type i singularities of the Ricci flow.
https://iris.unito.it/handle/2318/1701044
Haslhofer, Robert, Müller, Reto (2015)
A note on the compactness theorem for 4d Ricci Shrinkers.
https://iris.unito.it/handle/2318/1701047
A. Corti, M. Haskins, J. Nordström, T. Pacini, G2-manifolds and associative submanifolds via semi-Fano 3-folds, Duke Math. J. 164 (2015), no. 10, 1971-2092.
G. Calvaruso, A. Fino, Homogeneous geodesics of non-reductive homogeneous pseudo-Riemannian 4-manifolds, Bull. Braz. Math. Soc. (N.S.) 46 (2015), 23-64.
G. Calvaruso, A. Fino, Four-dimensional pseudo-Riemannian homogeneous Ricci solitons, Int. J. Geom. Methods Mod. Phys. 12 (2015), 1550056 (21 pages).
N. Enrietti, A. Fino, L. Vezzoni, The Pluriclosed Flow on Nilmanifolds and Tamed Symplectic Forms. J. Geom. Anal. 25 (2015), no. 2, 883-909.
M. Fernandez, A. Fino, V. Manero, G_2-structures on Einstein solvmanifolds, Asian J. Math. 19 (2015), 321-342.
A. Fino, P. Nurowski, Analog of selfduality in dimension nine. J. Reine Angew. Math. 699 (2015), 67-110.
A. Fino, A. Raffero, Coupled SU(3)-structures and Supersymmetry, Symmetry 2015, 7(2), 625-650.
A. Fino, L. Vezzoni, Special Hermitian metrics on compact solvmanifolds, J. Geom. Phys. 91 (2015), 40-53.
A. Fino, H. Kasuya, L. Vezzoni, SKT and Tamed symplectic structures on solvmanifolds, Tohoku Math. J. 67 (2015), 19-37.
E. Buzano, A. Fino, L. Vezzoni, The Calabi-Yau equation on the Kodaira-Thurston manifold, viewed as an S^1-bundle over a 3-torus, J. Differential Geom. 101 (2015), 175-195
A. Fino, H. Kasuya, Tamed symplectic structures on compact solvmanifolds of completely solvable type, preprint math.DG/1410.3610, to appear in Annali di Scuola Normale Superiore.
A. Fino, A. Otal, L. Ugarte, Six dimensional solvmanifolds with holomorphically trivial canonical bundle, preprint math.DG/1401.0512, to appear in International Mathematics Research Notices.
G. Calvaruso, A. Fino , Complex and paracomplex structures on homogeneous pseudo-Riemannian four-manifolds. Internat. J. Math. 24 (2013), no. 1, 28 pp.
N. Enrietti, A. Fino and G. Grantcharov, Tamed symplectic forms and generalized geometry. J. Geom. Phys. 71 (2013), 103-116.
A. Fino, L. Ugarte, On generalized Gauduchon metrics. Proc. Edinb. Math. Soc. (2) 56 (2013), no. 3, 733-753.
A. Fino, Y.Y. Li, S. Salamon and L. Vezzoni, The Calabi-Yau equation on 4-manifolds over 2-tori. Trans. Amer. Math. Soc. 365 (2013), no. 3, 1551-1575.
L. Vezzoni, A note on Canonical Ricci forms on 2-step nilmanifolds. Proc. Amer. Math. Soc. 141 (2013) 325--333.
G. Calvaruso, A. Fino, Five-dimensional K-contact Lie algebras. Monatsh. Math. 157 (2012), 35--59.
G. Calvaruso, A. Fino, Ricci solitons and geometry of non-reductive homogeneous 4-spaces. Canad. J. Math. 64 (2012), 778--804.
A. Fino, A. Tomassini, Blow-ups and Cohomology of Almost Complex Manifolds. Diff. Geom. Appl. 30 (2012), 520--529.
N. Enrietti, A. Fino, L. Vezzoni, Hermitian-Symplectic structures and SKT metrics. Journal of Symplectic Geometry 10, n. 2 (2012), 203--223.
A. J. Di Scala, L. Vezzoni, Quasi-Kahler manifolds with trivial Chern Holonomy. Math. Z. 271 (2012), 95--108.
A. J. Di Scala, J. Lauret, L. Vezzoni, Quasi-Kahler Chern-flat manifolds and complex 2-step nilpotent Lie algebras. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XI (2012), 41--60.