MATH

Europe/Rome 2020-09-24 14:00:00 2020-09-24 15:00:00 Math Associates Seminar: Numerical criteria for the solvability of generalised Monge-Ampere equations on projective manifolds Register in advance for this meeting: https://zoom.us/meeting/register/tJMpf-yoqDkoGtfqr-J--H4Ql7R-eF8hQDbM After registering, you will receive a confirmation email containing information about joining the meeting. Abstract: Generalised Monge-Ampere equations are a family of PDE that contain inverse Hessian equations like the J-equation, and special cases of the deformed Hermitian-Yang-Mills equation. I shall describe a couple of results about them. Firstly, these equations can be solved on projective manifolds if and only if Nakai-Moizeshon / Demailly-Paun-style intersection numbers are positive. This result improves a recent theorem of Gao Chen (who assumed uniform strict-positivity), and settles a conjecture of Lejmi-Szkelyhidi in the projective case. Secondly, assuming uniform strict-positivity, an equivariant version of the same result holds. Thus, earlier results due to Collins-Szekelyhidi are recovered. This work is joint with Ved Datar. Zoom Meeting ICTP pio@ictp.it 24 Sep 2020

Europe/Rome 2020-10-08 16:00:00 2020-10-08 17:00:00 Math Associates Seminar: Exotic Spheres and singularities Register in advance for this meeting: https://zoom.us/meeting/register/tJwrcuuhqzspHtRXp1wiLbmEYk_EyWTBKbRm After registering, you will receive a confirmation email containing information about joining the meeting.   Abstract: Milnor's fibration theorem is a landmark in singularity theory, it allows to deepen the study of the geometry and topology of analytic maps near their critical points. To each singular point of a complex hypersurface it associates a fibre bundle, known as the Milnor Fibration of the singularity. The birth of Milnor's Fibration Theorem is a curious story, since its origin is not in Singularity Theory. It begins with the discovery by Milnor in 1956 of the first exotic spheres": smooth 7-manifolds homeomorphic to the standard 7-sphere, but with non-equivalent differentiable structures. Later, work of some great  mathematicians like Brieskorn, Jänich, Hirzebruch and Pham, led to the discovery of some examples of complex hypersurface singularities whose links are exotic spheres. This motivated Milnor to determine when the link of a complex hypersurface singularity is a homotopy sphere, culminating in his now famous book "Singular points of complex hypersurfaces". One of the main results in this book is precisely Milnor's Fibration Theorem. The aim of this non-technical talk is to tell this interesting story. Zoom Meeting ICTP pio@ictp.it 8 Oct 2020

Europe/Rome 2020-10-12 08:00:00 2020-10-16 22:00:00 Workshop on Dynamical Systems * CANCELLED * | (smr 3420) Note: ICTP has suspended all educational activities from 24 February as precautionary measures due to COVID-19; more details at https://www.ictp.it/about-ictp/media-centre/news/2020/2/ictp_suspend_activities.aspx Dynamical Systems and Ergodic Theory constitute a vibrant and exciting field of current research in pure mathematics, with lots of connections to other areas such as probability theory, differential geometry, ODEs, and potential applications to such diverse areas as natural and biological sciences, economics, engineering, climate and disease modeling and many others. It can be thought of as a modern development of classical theories of Differential Equations and the fundamental concepts and guiding ideas go back more than a century to pioneering thinkers such as Poincaré, Birkhoff and Kolmogorov. Its interest and importance has only grown in time and several Fields Medals have been awarded in the area. The present Workshop is part of a long standing tradition of Dynamical Systems and Ergodic Theory activities at ICTP that was initiated by J. Palis and C. Zeeman in the early 1980s, and continued by Ya. Sinai, J.-C. Yoccoz and others. It will address a wide range of topics in this field, including:     • dynamics of one-dimensional maps     • homoclinic and heteroclinic behavior, fractal dimensions     • partially hyperbolic systems, dominated splittings     • singular hyperbolic flows     • conservative dynamics, KAM theory     • dynamics in homogeneous spaces     • billiards, interval exchanges, Teichmüller flows     • dynamics of rational and entire functions     • symbolic dynamics, thermodynamic formalism     • stochastic behavior of deterministic systems       • Lyapunov exponents, nonuniform hyperbolicity The list of invited speakers reflects the diversity of these subjects. Their lectures will constitute the basis of the programme, but posters sessions are also planned, which will give participants an opportunity to present their works. Speakers: Artur AVILA, IMPA Rio de Janeiro and Zurich Pierre BERGER, Paris Christian BONATTI, Dijon Sylvain CROVISIER, Paris Danijela DAMJANOVIC, KTH, Stockholm Laura DEMARCO, Northwestern Lorenzo DIAZ, PUC, Rio de Janeiro Giovanni FORNI, Maryland Adam KANIGOWSKI, Maryland Holly KRIEGER, Cambridge Isabelle LIOUSSE, Lille Carlangelo LIVERANI, Rome Luna LOMONACO, IMPA, Rio de Janeiro Micheal LYUBICH, Stony Brook Alba MÁLAGA, ICERM, Brown Luca MARCHESE, Paris Stefano MARMI, Scuola Normale Pisa Gustavo MOREIRA, IMPA, Rio de Janeiro Maria Jose PACIFICO, UFRJ, Rio de Janeiro Liviana PALMISANO, Durham Enrique PUJALS, CUNY, New York and IMPA, Rio de Janeiro Federico RODRIGUEZ-HERTZ, Penn State Samuel SENTI, UFRJ, Rio de Janeiro Barabara SCHAPIRA, Rennes Khadim WAR, IMPA, Rio de Janeiro Amie WILKINSON, Chicago   ICTP ICTP pio@ictp.it 12 Oct 2020 - 16 Oct 2020

Europe/Rome 2020-10-13 08:00:00 2020-10-16 22:00:00 Workshop on Differential Geometry Week 1 * POSTPONED *| (smr 3431) Note: ICTP has suspended all educational activities from 24 February up to 15 May as precautionary measures due to COVID-19; more details at https://www.ictp.it/about-ictp/media-centre/news/2020/2/ictp_suspend_activities.aspx Conference venue is Hotel Ponta Verde in Praia do Francês.  Please, find detailed information on the local website.  https://geometry-maceio.sciencesconf.org The "Workshop on Differential Geometry” has become a traditional event that takes place every year in the state of Alagoas, Brazil, during the Brazilian summer, congregating renowned international experts and members of the Brazilian geometry community. The 2020 edition will celebrate the 10th anniversary of the event, which has been organized since 2011 by the Institute of Mathematics of the Federal University of Alagoas (UFAL). There will be a balance of topics that are active in Brazil and research directions that need to be stimulated and further developed. In the  first week 5 advanced mini courses will be given by international experts while the second week will be devoted to research seminars. Applicants should specify if they want to take part to only one of the two weeks of the Workshop. Topics: • Minimal surfaces, constant mean curvature surfaces • Kahler geometry, extremal metrics • Mathematical relativity, stability/rigidity phenomena • Mean curvature  ow • Gluing and desingularization techniques, phase transition PDEs Minicourses: Lucas Ambrozio, University of Warwick   Joel Fine, Université Libre de Bruxelles    Laurent Hauswirth, Université de Marne-la-Vallée    Celso Viana, University of California - Irvine   Lu Wang, University of Wisconsin-Madison Invited Speakers: Sérgio Almaraz, Universidade Federal Fluminense Claudio Arezzo, International Centre for Theoretical Physics Gérard Besson, Institut Fourier - Université de Grenoble José María Espinar, Universidad de Cadiz Abigail Folha, Universidade Federal Fluminense Ailana Fraser, University of British Columbia Gregory Galloway, University of Miami Casey Kelleher, Princeton University* Levi Lima, Universidade Federal do Ceará Vanderson Lima, Universidade Federal do Rio Grande do Sul Jorge Lira, Universidade Federal do Ceará Andrea Loi, Università di Cagliari Andrea Malchiodi, Scuola Normale Superiore Ana Menezes, Princeton University Frank Pacard, École Polytechnique Paolo Piccione, Universidade de São Paulo Álvaro Ramos, Universidade Federal do Rio Grande do Sul Tristan Rivière, ETH Zürich Richard Schoen, University of California - Irvine Gang Tian, Beijing University Feliciano Vitorio, Universidade Federal de Alagoas Jun-cheng Wei, University of British Columbia Xi-Ping Zhu, Sun Yat-sen University *To be confirmed Attention for the 2nd week of the "Workshop on Differential Geometry - Week 2", 19 - 23 October 2020 go to link: http://indico.ictp.it/event/9228/ Maceio - Brazil ICTP pio@ictp.it 13 Oct 2020 - 16 Oct 2020

Europe/Rome 2020-10-19 08:00:00 2020-10-23 22:00:00 Workshop on Differential Geometry Week 2 | (smr 3503) Note: ICTP has suspended all educational activities from 24 February up to 26 June as precautionary measures due to COVID-19; more details at https://www.ictp.it/about-ictp/media-centre/news/2020/2/ictp_suspend_activities.aspx Conference venue is Hotel Ponta Verde in Praia do Francês.  Please, find detailed information on the local website.  https://geometry-maceio.sciencesconf.org The "Workshop on Differential Geometry” has become a traditional event that takes place every year in the state of Alagoas, Brazil, during the Brazilian summer, congregating renowned international experts and members of the Brazilian geometry community. The 2020 edition will celebrate the 10th anniversary of the event, which has been organized since 2011 by the Institute of Mathematics of the Federal University of Alagoas (UFAL). There will be a balance of topics that are active in Brazil and research directions that need to be stimulated and further developed. In the  first week 5 advanced mini courses will be given by international experts while the second week will be devoted to research seminars. Applicants should specify if they want to take part to only one of the two weeks of the Workshop. Topics: • Minimal surfaces, constant mean curvature surfaces • Kahler geometry, extremal metrics • Mathematical relativity, stability/rigidity phenomena • Mean curvature  ow • Gluing and desingularization techniques, phase transition PDEs Minicourses: Lucas Ambrozio, University of Warwick   Joel Fine, Université Libre de Bruxelles    Laurent Hauswirth, Université de Marne-la-Vallée    Celso Viana, University of California - Irvine   Lu Wang, University of Wisconsin-Madison Invited Speakers: Sérgio Almaraz, Universidade Federal Fluminense Claudio Arezzo, International Centre for Theoretical Physics Gérard Besson, Institut Fourier - Université de Grenoble José María Espinar, Universidad de Cadiz Abigail Folha, Universidade Federal Fluminense Ailana Fraser, University of British Columbia Gregory Galloway, University of Miami Casey Kelleher, Princeton University* Levi Lima, Universidade Federal do Ceará Vanderson Lima, Universidade Federal do Rio Grande do Sul Jorge Lira, Universidade Federal do Ceará Andrea Loi, Università di Cagliari Andrea Malchiodi, Scuola Normale Superiore Ana Menezes, Princeton University Frank Pacard, École Polytechnique Paolo Piccione, Universidade de São Paulo Álvaro Ramos, Universidade Federal do Rio Grande do Sul Tristan Rivière, ETH Zürich Richard Schoen, University of California - Irvine Gang Tian, Beijing University Feliciano Vitorio, Universidade Federal de Alagoas Jun-cheng Wei, University of British Columbia Xi-Ping Zhu, Sun Yat-sen University *To be confirmed Attention for the 1st week of the "Workshop on Differential Geometry - Week 1", 12 - 16 October 2020 go to link: http://indico.ictp.it/event/9028/ Maceio - Brazil ICTP pio@ictp.it 19 Oct 2020 - 23 Oct 2020

Europe/Rome 2020-12-07 07:00:00 2020-12-18 21:00:00 IITB-ICTP-TIFR Workshop on Physics, Geometry and Number Theory * CANCELLED * | (smr 3491) Note: ICTP has suspended all educational activities from 24 February up to 26 June as precautionary measures due to COVID-19; more details at https://www.ictp.it/about-ictp/media-centre/news/2020/2/ictp_suspend_activities.aspx Bombay - India ICTP pio@ictp.it 7 Dec 2020 - 18 Dec 2020