Cari colleghi, vi segnalo che giovedi' 19 marzo alle 14:30 in saletta riunioni ci sara' un seminario di geometria. Trovate qui sotto titolo e abstract. Per chi fosse interessato, ci troviamo nell'atrio davanti all'aula Riunioni alle 13 per andare a pranzo con lo speaker. Saluti, Andrea _______________________________________________________________________________________________ Titolo: Odd magical triples and maximal Higgs bundle Speaker: Enya Hsiao (Lipsia) Abstract: Higher Teichmüller theory is the study of connected components in the G^R-character variety consisting entirely of discrete and faithful surface group representations. Under the nonabelian Hodge correspondence, various problems in higher Teichmüller theory can be approached by using topological methods on the G^R-Higgs bundle moduli space. Following recent developments of Theta-positivity on the character variety side, it has been proposed by Bradlow, Collier, Garcia-Prada, Gothen and Oliveira that the corresponding components on the Higgs bundle moduli space are characterized by Slodowy slices of magical sl2-triples. In this talk, I will explain how the above framework can be extended to include the case of maximal components of a nontube type Hermitian Lie group by introducing the notion of odd magical triples, further supporting the expectation that all higher Teichmüller components arise via a Cayley correspondence.
Cari colleghi, vi segnalo che giovedi' 26 marzo alle 14:30 in saletta riunioni ci sara' un seminario di geometria. Trovate qui sotto titolo e abstract. Per chi fosse interessato, ci troviamo nell'atrio davanti all'aula Riunioni alle 13 per andare a pranzo con lo speaker. Saluti, Andrea _______________________________________________________________________________________________ Titolo: A geometric compactification of the moduli space of grafted surfaces Speaker: Andrea E. Monti (Lipsia) Abstract: A central theme in Teichmüller theory is understanding how geometric structures on a surface S degenerate as they approach the "edge" of their moduli space. We will talk about the geometric operation of grafting, bridging between the hyperbolic and the flat geometries, used by Thurston to study the moduli space of complex projective structures. Our main goal will be to show that half-translation (flat) surfaces emerge as Gromov-Hausdorff limits (up to scaling) of surfaces obtained via grafting. This also allows us to realise two compactifications of the moduli space of grafted surfaces by embedding it in the space of projective geodesic currents, and give a geometric description of the limit points.
Cari colleghi, vi segnalo che giovedi' 30 aprile alle 14:30 in aula riunioni ci sara' un seminario di geometria. Trovate qui sotto titolo e abstract. Per chi fosse interessato, ci troviamo nell'atrio davanti all'aula Riunioni alle 13 per andare a pranzo con lo speaker. Saluti, Andrea _______________________________________________________________________________________________ Titolo: Spectral networks and maximal representations Speaker: Clarence Kineider (Lipsia) Abstract: I will introduce spectral networks as a tool to study character varieties of surface groups into Lie groups, and their application to higher Teichmüller theory, in particular maximal representations.
Cari colleghi, vi segnalo che giovedi' 7 maggio alle 14:30 in saletta riunioni ci sara' un seminario di geometria. Trovate qui sotto titolo e abstract. Per chi fosse interessato, ci troviamo nell'atrio davanti all'aula Riunioni alle 13 per andare a pranzo con lo speaker. Saluti, Andrea _________________________________________________________________________________________________ Titolo: Finsler metrics on 1/n-translation structures on surfaces Speaker: Jiajun Shi (Leipzig) Abstract: We define compatible Finsler distances on 1/n-translation surfaces. Special instances arise in the boundary of certain rank 2 representations. We study their geodesics, and construct a Liouville current for each such metric, that is a geodesic current that encodes the information of the length of the closed curves. The construction is based on multi-foliations, a generalization of measured foliations of independent interest. This is a joint work with Beatrice Pozzetti.
participants (1)
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Andrea Tamburelli