Geometria_Pisa May 2024

geometria_pisa@lists.dm.unipi.it

4 participants
5 discussions

seminario Romeo Segnan Dalmasso
by Diego Conti 21 May '24

21 May '24

Buongiorno, segnalo che giovedì 23 maggio alle 14.30 in aula seminari Romeo Segnan Dalmasso (Università di Milano Bicocca) terrà un seminario dal titolo *Harmful structures and Killing spinors* di cui riporto l'abstract: The existence of Killing spinors on a given manifold imposes strict conditions on its geometry. In the Riemannian setting in particular, this implies, for example, that the metric is Einstein. In the pseudo-Riemannian setting, the situation is less studied, nor as strict, for instance the metric need not be Einstein. In this talk, after an introduction to the language of spinors and some history concerning their study, I will present a new result concerning the existence of a Killing spinor on a pseudo-Riemannian manifold (Z, h). I will show that the existence on (Z, h) implies the existence of a pair of spinors (\psi, \phi) in the spinor bundle of an embedded (non-degenerate) hypersurface (M, g) satisfying a coupled PDE system involving the Weingarten operator of the embedding A, which will be called real or imaginary weakly /harmful structure/, depending on the signature of the normal vector-field to (M, g). The embedding process will require an additional technical condition, namely d tr A+\delta A = 0, and the assumption that the metric and the Weingarten operator are real analytic tensors. Some comments will be given on the special case of Lorentzian signature. Finally, I will present some work in progress regarding a (partial) classification in low dimension of harmful structures on homogeneous manifolds and the resulting cohomogeneity-one embeddings. This talk is based on a joint work with D. Conti and F.A. Rossi. A presto Diego

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Pranzo con lo speaker
by Carlo Collari 15 May '24

15 May '24

Buon pomeriggio, Lo speaker potrebbe non fare in tempo ad arrivare per pranzo. Per cui, con gli interessati ci vedremo direttamente al seminario. A presto, Carlo

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Seminario di Geometria del 16/05
by Carlo Collari 15 May '24

15 May '24

Buongiorno, Vi scrivo per ricordarvi che domani 16 Maggio, in Aula Seminari alle 14:30, Domenico Fiorenza (Sapienza Università di Roma) terrà il seminario dal titolo: * Projective 2-representations of linear Lagrangian correspondences* di cui riporto l'abstract: As recently illustrated by Ludewig and Roos, second quantization of fermions, i.e., the algebraic construction associating with a quadratic vector space its Clifford algebra and to a Lagrangian relation its exterior algebra (the Fock module) is an anomalous functor with values in the 2-category of algebras, bimodules and bimodule morphisms, with anomaly given by determinant lines. This can be equivalently seen as a projective 2-representation of the category of Lagrangian relations. By analogy to what happens with projective representations of groups, this suggests that suitable 2-central extensions of the category of Lagrangian relations should lift this projective 2-representation to an actual, i.e., non-anomalous, 2-representation. This makes the generalized Lagrangian relations considered by Stolz and Teichner naturally appear. Based on joint work in progress with Chetan Vuppulury. Per chi fosse interessato ad andare a pranzo con lo speaker ci troveremo per l'una e mezza in atrio. A presto, Carlo

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I: Postdoc at Lancaster
by Paolo Lisca 08 May '24

08 May '24

Inoltro annuncio di posizione post-doc. Paolo Lisca ________________________________ Da: Evans, Jonny <j.d.evans(a)lancaster.ac.uk> Inviato: mercoledì 8 maggio 2024 11:44 A: Evans, Jonny Oggetto: Postdoc at Lancaster Dear all, We are advertising a 20-month postdoc position in geometry at Lancaster University (UK). This is associated with the EPSRC grant "Frontiers in Symplectic Topology" which is led jointly by me (Jonny Evans, at Lancaster) and YankI Lekili (at Imperial). The grant is about exploring connections between symplectic geometry, algebraic geometry and low-dimensional topology, but eclecticism is welcomed, and people working in other flavours of geometry and topology are also encouraged to apply. The application deadline is 12th June. The position will be available as early as July, but with the possibility of starting later (e.g. September/October) if that's more convenient. If you know anybody who might be interested in applying, they can do so here: https://hr-jobs.lancs.ac.uk/Vacancy.aspx?ref=0593-24 Regards, Jonny Evans

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Seminario di geometria 9 maggio
by Filippo Bianchi 07 May '24

07 May '24

Carə tuttə, Il seminario di geometria di questa settimana si terrà Giovedì 9 Maggio alle 16.00 in Aula Seminari. Peter Smillie (Universität Heidelberg) parlerà di "Big minimal surfaces in symmetric spaces". Di seguito l'abstract. A well-known collection of problems in differential geometry reduce to the study of minimal surfaces in Riemannian symmetric spaces of non-compact type. In general, the derivative of the inclusion of a minimal surface is a holomorphic section of a certain vector bundle — what is special about symmetric spaces is that one can often recreate the minimal surface from this holomorphic data, through what is called the non-Abelian Hodge correspondence. This often lets you describe the moduli space of all minimal surfaces in an interesting way. However, this process of recreating the minimal surface still involves solving an elliptic PDE, and so precise questions require elliptic estimates. In this talk, I will try to describe the idea behind the basic interior estimate of Mochizuki and Simpson and some of its applications, and also tell you about a new version of this estimate with weaker hypotheses and weaker conclusions. This is work in progress with Nathanial Sagman. Ci troveremo alle 13 in atrio per andare a pranzo con lo speaker. Vi segnalo anche il seminario di Combinatoria, Teoria di Lie e Topologia di giovedì 9 maggio, potenzialmente interessante per alcuni membri del gruppo: alle 14.45 in Aula Magna Andrei Neguţ (MIT) parlerà di "Braids and coherent sheaves". Di seguito l'abstract: We will present a conjecture relating the affine Hecke category (an algebraic incarnation of annular braids) to coherent sheaves on the commuting variety. Joint work with Eugene Gorsky. This is an affine version of the conjecture (now a theorem) we proposed with Jacob Rasmussen that relates Khovanov homology to coherent sheaves on Hilbert schemes. Le informazioni sui prossimi seminari si trovano sul sito<https://www.dm.unipi.it/en/seminars/?category=653b522f8f0af760bdc42729>. Vi aspettiamo! Buona serata, Filippo, Giovanni e Giuseppe

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Geometria_Pisa May 2024