IST — Instituto Superior Técnico

FCT — Fundação para a Ciência e a Tecnologia

Homepage of Giorgio Trentinaglia

I am a research fellow of the Center for Mathematical Analysis, Geometry and Dynamical Systems (CAMGSD) at Instituto Superior Técnico (IST) in Lisbon. My position is funded directly by the Portuguese Foundation for Science and Technology (FCT).

Research interests

Differential geometry; Lie theory (in a broad sense including the study of Lie groupoids, orbifolds, foliations, smooth stacks);
Higher categorical structures; Poisson geometry and quantization; Unitary representation theory of Lie groups, C*-algebras

List of works

A fast convergence theorem for nearly multiplicative connections on proper Lie groupoids Preprint (31 December 2017) arXiv:1403.2071
Regular Cartan groupoids and longitudinal representations Adv. Math. 340 (2018) pp. 1–47 doi:10.1016/j.aim.2018.10.006
Some remarks on representations up to homotopy (With C. Zhu) Int. J. Geom. Methods Mod. Phys. 13 (2016) no. 3 1650024 [15 pp.] doi:10.1142/S0219887816500249
Reduced smooth stacks? Theory Appl. Categ. 30 (2015) no. 31 pp. 1032–1066 www.tac.mta.ca/tac/volumes/30/31/30-31.pdf
Strictification of étale stacky Lie groups (With C. Zhu) Compos. Math. 148 (2012) no. 3 pp. 807–834 doi:10.1112/S0010437X11007020
Some remarks on the global structure of proper Lie groupoids in low codimensions Topology Appl. 158 (2011) no. 5 pp. 708–717 doi:10.1016/j.topol.2011.01.019
On the role of effective representations of Lie groupoids Adv. Math. 225 (2010) no. 2 pp. 826–858 doi:10.1016/j.aim.2010.03.014
Tannaka duality for proper Lie groupoids J. Pure Appl. Algebra 214 (2010) no. 6 pp. 750–768 doi:10.1016/j.jpaa.2009.08.004
Tannaka duality for proper Lie groupoids Ph.D. Thesis Utrecht University (September 2008) Available for download
On the meaning of positivity relations for regular formal spaces (With G. Sambin) J.UCS 11 (2005) no. 12 pp. 2056–2062 doi:10.3217/jucs-011-12-2056

News and events

December 16, 2016 — Geometry Seminar, CMU Coimbra, Portugal [Talk slides]
March 31, 2015 — Geometry Seminar, Department of Mathematics, IST Lisbon
March 3, 2015 — Geometry Seminar, Department of Mathematics, IST Lisbon
February 3, 2015 — Geometry Seminar, Department of Mathematics, KU Leuven, Belgium
January 31, 2015 — Conference PSSL 97, UCL Louvain-La-Neuve, Belgium [Talk slides]

Contact

Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
Pavilhão de Matemática, Instituto Superior Técnico
Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Email: gtrentin 'at' math.tecnico.ulisboa.pt
Fax: (+351) 218417035

 Last updated	September 30, 2018