Research

Research

My research lies in the field of Complex Differential Geometry, with particular interest towards special metrics in a not necessarily Kähler setting. More specifically, I am interested in constructing metrics - both on manifolds and on vector bundles - that carry some sort of canonical nature (for example metrics that satisfy the Hull-Strominger system).

Pubblications

Preprints

• F. Giusti, C. Spotti, A Kümmer construction for Chern-Ricci flat balanced manifolds, 2023, https://arxiv.org/abs/2309.12909;

• F. Giusti, C. Spotti, Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds, 2023, https://arxiv.org/abs/2301.11636 (currently withdrawn);

Papers

• F. Giusti, F. Podestà, Real semisimple Lie groups and balanced metrics, Rev. Mat. Iberoam. Rev. Mat. Iberoam. 39 (2023), no. 2, pp. 711–729, https://doi.org/10.4171/rmi/1391.

Talks

Upcoming talks

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Given talks

• “Chern-Ricci flat balanced orbifolds and crepant resolutions”, at “Workshop Paraplui Angers 2024”, University of Angers, Angers, France, 17-19 April 2024.

• "Una costruzione di gluing per metriche speciali non-Kähler", at "XXII Congresso dell'Unione Matematica Italiana", Università di Pisa and Scuola Normale Superiore, Pisa, Italy, 04-09 September 2023;

• "A gluing construction for Chern-Ricci flat balanced metrics", at "A Complex Differential Geometry Meeting at UniTo", Università degli Studi di Torino, Torino, Italy, 17-19 May 2023;

• "A gluing construction for Chern-Ricci flat balanced metrics on some Calabi-Yau threefolds", ICMAT, Madrid, Spain, 07 December 2022;

• "Constructing special non-Kähler metrics", at "Informal geometry workshop in Paradiso 2022", Cogne (Aosta), Italy, 03-05 February 2022;

• "The class of balanced manifolds is closed under proper modifications", at "Pluripotential Theory on compact Hermitian manifolds II", Università di Parma, Parma, Italy, 02-05 November 2021.