Geometria_Pisa

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Seminario di Geometria 30 Gennaio - Elia Fioravanti
by Carlo Collari 27 Jan '25

27 Jan '25

Buongiorno, Vi ricordo che il prossimo seminario di Geometria e Topologia sarà tenuto da Elia Fioravanti e si terrà Giovedì 30 Gennaio alle ore 14:30 presso l'aula Riunioni. Per gli interessati ad andare a pranzo con lo speaker, l'appuntamento è in atrio alle 13:00. Allego titolo e abstract Titolo: Growth of automorphisms of special groups Abstract: Given a (nice) group G, we are interested in how fast the length of a group element can grow when we apply powers of a given outer automorphism of G. If the group G is free or the fundamental group of a closed surface, classical train-track techniques give a complete and precise picture. This can be extended to automorphisms of all negatively curved (a.k.a. Gromov hyperbolic) groups G, using Rips-Sela theory and the canonical JSJ decomposition. Very little seems to be known beyond this setting. We study this problem for a broad class of non-positively curved groups: "virtually special" groups in the Haglund-Wise sense. In this setting, we prove that: (1) the stretch factor of any automorphism is an algebraic integer; (2) if the automorphism is untwisted, then it admits only finitely many growth rates, each of these is polynomial-times-exponential, and there is a Nielsen-Thurston decomposition. A presto, Carlo e Filippo

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Seminario di Geometria 23 Gennaio - Macarena Arenas
by Carlo Collari 20 Jan '25

20 Jan '25

Buongiorno, Vi ricordo che il prossimo seminario di Geometria e Topologia sarà tenuto da Macarena Arenas e si terrà Giovedì 23 Gennaio alle ore 14:30 presso l'aula Riunioni. Per gli interessati ad andare a pranzo con la speaker, l'appuntamento è in atrio alle 13:00. Allego titolo e abstract Titolo: Taut smoothings and shortest geodesics Abstract: In this talk we will discuss the connection between combinatorial properties of minimally self-intersecting curves on a surface S and the geometric behaviour of geodesics on S when S is endowed with a Riemannian metric. In particular, we will explain the interplay between a smoothing, which is a type of surgery on a curve that resolves a self-intersection, and k-systoles, which are shortest geodesics having at least k self-intersections, and we will present some results that partially elucidate this interplay. A presto, Carlo e Filippo

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Seminario di Geometria 16 Gennaio - Francesco Bonsante
by Carlo Collari 13 Jan '25

13 Jan '25

Buongiorno, Ricominciano i seminari di Geometria e Topologia! Il primo seminario di quest'anno sarà tenuto da Francesco Bonsante e si terrà Giovedì 16 Gennaio alle ore 14:30 presso l'aula Riunioni. Per gli interessati ad andare a pranzo con lo speaker, l'appuntamento è in atrio alle 13:00. Allego titolo e abstract: Titolo: Rigidità di circle packings su superfici proiettive Abstact: I circle packing su superfici iperboliche (o più in generale su superfici Riemanniane a curvatura costante) sono collezioni di dischi mutualmente tangenti, tali che il complementare dell’unione di tali dischi sia un’unione disgiunta di interstizi triangolari. Essi sono stati inizialmente studiati da Thurston che ne ha dimostrato un importante risultato di rigidità: fissata la combinatoria della collezione dei dischi esiste un un’unica superficie iperbolica su cui il circle packing può essere realizzato. Più recentemente Kojima Mitzushima e S.Tan hanno osservato che la nozione di disco su CP1 e invariante per trasformazioni proiettive e dunque ha senso parlare di dischi e di circle packing su superfici munite di strutture proiettive complesse. Essi hanno osservato che lo spazio delle strutture proiettive munite di circle packing con una combinatoria fissata è descritto da una varietà algebrica reale di dimensione 6g−6, dove g è il genere della superficie e hanno lasciato aperte tre domande: (1) stabilire se tale varietà algebrica sia liscia, (2) stabilire se l’inclusione naturale di tale spazio nello spazio delle strutture proiettive sia un’immersione, (3) stabilire se la mappa che associa a ogni elemento di questa varietà la struttura complessa soggiacente sia un locale diffeo. Nel seminario parlerò di questi problemi e di alcuni risultati parziali recentemente ottenuti in collaborazione con Mike Wolf. A presto, Carlo e Filippo

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Scuola di topologia
by Bruno Martelli 09 Jan '25

09 Jan '25

Segnalo questa scuola che mi sembra molto adatta per i topologi pisani Bruno https://www.icmat.es/schools/2025/MSBG/index.php

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Fwd: Fw: Postdoc in Bilbao
by Bruno Martelli 09 Jan '25

09 Jan '25

---------- Forwarded message --------- Da: Llosa, Claudio (IAG) <claudio.llosa(a)kit.edu> Date: Mar 7 Gen 2025, 18:50 Subject: Fw: Postdoc in Bilbao To: Bruno Martelli <bruno.martelli(a)unipi.it> Karlsruhe Institute of Technology (KIT) Institute for Algebra and Geometry JProf. Dr. Claudio Llosa Isenrich Juniorprofessor for Geometry KIT Faculty of Mathematics Englerstraße 2 <https://www.google.com/maps/search/Englerstra%C3%9Fe+2+%0D%0A76131+Karlsruh…> 76131 Karlsruhe, Germany <https://www.google.com/maps/search/Englerstra%C3%9Fe+2+%0D%0A76131+Karlsruh…> Phone: +49 721 608-43914 Email: claudio.llosa(a)kit.edu Website: https://www.math.kit.edu/iag2/~llosa/en Registered office: Kaiserstraße 12, 76131 Karlsruhe, Germany <https://www.google.com/maps/search/Kaiserstra%C3%9Fe+12,+76131+Karlsruhe,+G…> KIT – The Research University in the Helmholtz Association ------------------------------ *From:* geom-group-theory-request(a)lists.illinois.edu < geom-group-theory-request(a)lists.illinois.edu> on behalf of MONTSERRAT CASALS RUIZ <montserrat.casals(a)ehu.eus> *Sent:* Tuesday, January 7, 2025 9:20:44 AM *To:* geom-group-theory(a)lists.illinois.edu *Subject:* [geom-group-theory] Postdoc in Bilbao Dear colleagues, We are pleased to advertise a *two-year postdoctoral *position in geometric group theory, based at the University of the Basque Country (UPV-EHU) in *Bilbao* and mentored by Montserrat Casals-Ruiz. The position comes with no compulsory teaching load, and there will be a possibility of obtaining additional funding to extend the contract through December 2027. The starting date is negotiable, contingent on the candidate fulfilling the requirements set by the Spanish administration, although it should be no later than October 2025. The salary will be according to the Convenio colectivo de personal laboral docente e investigador de la UPV/EHU (approximately 38,000 euros, before tax). This position is part of the project “Mapping class groups from above and from below”, funded by the Agencia Estatal de Investigación (AEI) and the Deutsche Forschungsgemeinschaft (DFG), as a collaboration of Javier Aramayona (ICMAT), Montserrat Casals-Ruiz (Bilbao), Elia Fioravanti (KIT), Claudio Llosa-Isenrich (KIT), and Katrin Tent (Münster). There will be numerous opportunities for interactions with researchers based at the other three institutions. Candidates with expertise related to the project themes are particularly encouraged to apply. These include, but are not limited to: right-angled Artin groups, actions on R-trees and cube complexes; mapping class groups; Burnside groups and small cancellation theory; and Kähler groups. Interested candidates should submit a CV, a research statement (maximum 2 pages), and a cover letter to mafabproject(a)gmail.com using the subject "Postdoc MAFAB Bilbao", before *February 7, 2025*. Additionally, applicants may arrange for up to two referees to send recommendation letters directly to the same email address. Please note that we will not contact referees to request letters on behalf of the applicants. For further information, please feel free to contact us informally per email. Montse Casals-Ruiz

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Fwd: Fw: 2-year postdoc in Karlsruhe or Muenster
by Bruno Martelli 09 Jan '25

09 Jan '25

---------- Forwarded message --------- Da: Llosa, Claudio (IAG) <claudio.llosa(a)kit.edu> Date: Mar 7 Gen 2025, 18:48 Subject: Fw: 2-year postdoc in Karlsruhe or Muenster To: Bruno Martelli <bruno.martelli(a)unipi.it> ------------------------------ *From:* geom-group-theory-request(a)lists.illinois.edu < geom-group-theory-request(a)lists.illinois.edu> on behalf of Fioravanti, Elia (IAG) <elia.fioravanti(a)kit.edu> *Sent:* Tuesday, January 7, 2025 10:19:57 AM *To:* geom-group-theory(a)lists.illinois.edu *Subject:* [geom-group-theory] 2-year postdoc in Karlsruhe or Muenster Dear Colleagues, We would like to advertise a 2-year postdoc position in Geometric Group Theory, to be based either at the Karlsruhe Institute of Technology or at the University of Münster, under the mentorship of Elia Fioravanti, Claudio Llosa Isenrich or Katrin Tent. The position comes with no compulsory teaching load and there may be the possibility of an extension to a 3rd year. It is paid according to the German E13 TV-L pay grade. The starting date is flexible, though it should be in October 2025 at the latest. The position is part of the project "Mapping class groups from above and below", jointly funded by the German and Spanish Research Foundations as a collaboration of Fioravanti, Llosa Isenrich and Tent with Javier Aramayona (Madrid) and Montserrat Casals-Ruiz (Bilbao). There will be numerous opportunities for interactions with researchers based at the other three institutions. Project topics include, but are not limited to: Burnside groups and small cancellation theory; Kähler groups; actions on R-trees and cube complexes; mapping class groups and Out(F_n). Applications should be submitted via email at the address mafab-project(a)lists.kit.edu and should consist of the following documents (as a single pdf file): - a CV, including list of publications; - a research statement outlining past and future research (max 2 pages); - a cover letter which also indicates a preferred choice of host institution ; - 2 letters of recommendation, to be submitted at the same address by the referees. All documents must be received by the deadline of *7 February 2025*. Please note that we will not contact referees to request letters on behalf of the applicants. For further information, please feel welcome to contact us informally per email. Best wishes, Elia Fioravanti (KIT), Claudio Llosa Isenrich (KIT), Katrin Tent (Münster)

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I: Spring school on singularities - Nantes - 22nd-25th April 2025
by Paolo Lisca 18 Dec '24

18 Dec '24

Inoltro annuncio di scuola primaverile. Paolo Lisca ________________________________ Da: Fabio Gironella <fabio.gironella(a)univ-nantes.fr> Inviato: martedì 17 dicembre 2024 14:03 A: orga-school-sing(a)univ-nantes.fr Oggetto: Spring school on singularities - Nantes - 22nd-25th April 2025 Dear friends and colleagues, We are pleased to announce a spring school at Nantes Université, which will take place from the 22nd to the 25th of April 2025. The school is part of the thematic semester 2025 Singularities<https://www.lebesgue.fr/fr/semestre2025>, organised by the Centre Henri Lebesgue<https://www.lebesgue.fr/fr>. Our school, aimed at Master and PhD students, will focus on singularities in low-dimensional and symplectic topology. It will mainly revolve around two mini-courses, of four hours plus an exercise session each. The two courses will be given by Anne Pichon<https://www.i2m.univ-amu.fr/perso/anne.pichon/> (Aix-Marseille Université), on the low-dimensional side, and by Jonathan Evans<https://jde27.uk/> (Lancaster University), on the symplectic side. Beside the two mini-courses, there will be a session for short talks. We invite participants who would like to talk about their research to submit a title and an abstract. The schedule will be rather light, so enough time will be left for participants to discuss together and discover each other's research interests. Registration is open until February 23rd 2024. We will be able to provide accommodation (in twin bedrooms) for a limited number of participants. You can register and apply for funding here<https://www.lebesgue.fr/fr/lowdim-symp2025/inscription>. More information on the school can be found at these pages: https://fabiogironella.com/events/25_04_spring_school_nantes_singularities/ and https://www.lebesgue.fr/en/lowdim-symp2025 Please forward this announcement to colleagues/students who might be interested in attending the spring school. Best regards, Fabio Gironella, Marco Golla and Stéphane Guillermou (the organisers)

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Seminario Baby Geometri 17/12
by Giovanni Framba 12 Dec '24

12 Dec '24

Carə tuttə, Vi invitiamo al seminario dei Baby Geometri della prossima settimana: Martedì 17 Dicembre 2024, alle ore 11:30 Presso l’Aula Seminari del Dipartimento di Matematica Giacomo Bascapè (Université du Québec à Montréal) terrà un seminario dal titolo: SU(2)-representations of 3-manifolds: a brave new world di cui riportiamo l'abstract: In this talk, we will explore the world of SU(2) representations applied to 3-manifolds. First, we will introduce the importance of SU(2)-representations as an invariant of non-triviality. Then, we will describe this theory's relations to the L-space conjecture, particularly to instanton Floer homology. Finally, we will apply some of these techniques to the case of graph manifolds with small order. Vi ricordiamo che potrete trovare informazioni sui prossimi seminari sul nostro sito https://sites.google.com/view/babygeometri. Tutte le persone interessate sono invitate a partecipare. A presto, Elena Bogliolo Pietro Capovilla Alessio Di Prisa Giovanni Framba Ervin Hadžiosmanović

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Seminario di Geometria 10 Dicembre - Enrico Trebeschi
by Carlo Collari 06 Dec '24

06 Dec '24

Buongiorno, Ricordo a tutti gli interessati che il prossimo (e ultimo per questo semestre) seminario di geometria sarà tenuto da Enrico Trebeschi e si terrà Martedì 10 Dicembre alle ore 14:30 presso l'aula Riunioni. Per gli interessati ad andare a pranzo con lo speaker, l'appuntamento è in atrio alle 13:00. Allego titolo e abstract: Titolo: Rigidity Results for Maximal Submanifolds in Pseudo-Hyperbolic Space Abstact: Maximal submanifolds are the generalization in pseudo-Riemannian geometry of minimal surfaces. Their study in pseudo-hyperbolic space, which is the generalization of hyperbolic space in mixed signature, is motivated by several factors ranging from differential geometry, relativistic physics, and, in recent years, geometric topology. A classical problem in the study of minimal submanifolds of the unit sphere is to find a universal upper bound for the norm of the second fundamental form, that is, to estimate their extrinsic curvature. In this seminar, I will discuss a recent work in collaboration with Alex Moriani (Université Côte d'Azur), in which we provide a sharp bound on the norm of the second fundamental form for maximal submanifolds in pseudo-hyperbolic space. In particular, this bound is rigid, meaning it is achieved identically, and we are able to explicitly classify the submanifolds that achieve it. Gauss equation translates the estimate on the extrinsic curvature in trems of the intrinsic curvature, allowing us to prove that the scalar curvature of a maximal submanifold is non-positive and to classify those with vanishing scalar curvature. In the Lorentzian case, we are able to provide a rigid estimate on the Ricci curvature as well. If I have time, I would like to discuss the implications of this work in the context of Teichmüller theory of higher rank and dimension, namely the study of connected components of Hom(π1(M), G) containing only faithful and discrete representations, where M is a closed manifold of dimension n>2 and G is a semi-simple Lie group of rank >1. A presto, Carlo e Filippo

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Seminario Baby Geometri 10/12
by Giovanni Framba 06 Dec '24

06 Dec '24

Carə tuttə, Vi invitiamo al seminario dei Baby Geometri della prossima settimana: Martedì 03 Dicembre 2024, alle ore 11:30 Presso l’Aula Seminari del Dipartimento di Matematica Luigi Marigliano(Università di Pisa) terrà un seminario dal titolo: Riemannian holonomy classification di cui riportiamo l'abstract: Holonomy was introduced by Élie Cartan in 1926 and has since then provided a way to apply the machinery of Lie groups representation to study Riemannian manifolds. In this talk we will start by introducing holonomy in vector and principal bundles, providing some examples, to arrive at the main result obtained by Berger for the classification of the holonomy of Riemannian manifolds. Vi ricordiamo che potrete trovare informazioni sui prossimi seminari sul nostro sito https://sites.google.com/view/babygeometri. Tutte le persone interessate sono invitate a partecipare. A presto, Elena Bogliolo Pietro Capovilla Alessio Di Prisa Giovanni Framba Ervin Hadžiosmanović

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