Symmetry and shape

Welcome

According to Felix Klein, geometry is the study of those properties in space that are invariant under a given transformation group. Intuitively, symmetry is the correspondence of shape at every point of a space. An interesting problem in geometry and many physical sciences is to determine the symmetries of a space from its shape.

The aim of this conference is to gather experts in the study of symmetry in Differential Geometry, whilst we celebrate Carlos Enrique Olmos' 65th birthday. The conference will revolve around the study of curvature, homogeneous and symmetric spaces, Riemannian submanifold geometry, holonomy, and other related topics in Differential Geometry and Geometric Analysis.

Carlos Enrique Olmos

Carlos Olmos obtained his Mathematics degree from the University of Buenos Aires in 1984 and completed his Ph.D. at the National University of Córdoba in 1988. He conducted postdoctoral research at ICTP in Trieste from 1989 to 1990, followed by a two-year Alexander von Humboldt fellowship at the University of Augsburg. Upon returning to Argentina, he became a full professor (Profesor Titular) at the National University of Córdoba in 2005 and has been a researcher at Conicet since 1993, achieving its highest rank in 2022. He has been a full member of the Argentine National Academy of Sciences since 2012.

His research focuses on Riemannian geometry, particularly on the interaction between holonomy and submanifold theory. His contributions include a conceptual proof of the Berger holonomy theorem, an alternative approach to Thorbergsson's homogeneity result on isoparametric submanifolds, a generalization of Simons holonomy systems, and several relevant contributions to the theory of homogeneous spaces, symmetric spaces, and totally geodesic submanifolds. His work has been published in leading journals such as Annals of Mathematics, Journal of the European Mathematical Society, Journal of Differential Geometry, Journal für die Reine und Angewandte Mathematik, and Mathematische Annalen, among others.

Beyond his research, Carlos has delivered over 50 invited or plenary talks at prestigious international conferences and research institutions. He has supervised seven Ph.D. theses, and has evaluated research grants and faculty appointments both in Argentina and abroad.

Invited speakers

• Ilka Agricola, Philipps-Universität Marburg, Germany
• Jürgen Berndt, King's College London, United Kingdom
• Antonio Di Scala, Politecnico di Torino, Italy
• Anna Fino, Università di Torino, Italy
• Claudio Gorodski, Universidade de São Paulo, Brazil
• Luis Guijarro, Universidad Autónoma de Madrid, Spain
• Jason Lotay, University of Oxford, United Kingdom
• Paolo Piccione, Universidade de São Paulo, Brazil
• Silvio Reggiani, Universidad Nacional de Rosario, Argentina
• Alberto Rodríguez Vázquez, Université Libre de Bruxelles, Belgium
• Evangelia Samiou, University of Cyprus, Cyprus
• Francisco Vittone, Universidad Nacional de Rosario, Argentina

University of Santiago de Compostela

With more than five centuries of tradition, the University of Santiago de Compostela is a historic institution that projects itself to the future and beyond its frontiers, always attentive to the different demands of society, where it stands as an important academic frame of reference and where it develops its academic and research work. Centuries of history give the University an special capacity to merge the experience, security and confidence with present and future challenges.

The roots of the University go back to 1495, when the Santiago de Compostela solicitor López Gómez de Marzoa founds, with the help of the San Martiño Pinario abbot, a school for the poor known as "Grammatic Academy" in the monastery of San Paio de Antealtares.

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Santiago de Compostela is the capital of the Autonomous Community of Galicia; declared a World Heritage City by UNESCO thanks to its monumental beauty, extraordinary conservation and as the final destination of a thousand-year-old pilgrim route: the Way of St. James, which, since the 9th century, has transformed this finis terrae into a meeting place of Western faith and thinking.

Santiago de Compostela is a stone apparition in the midst of the green forests of Northwest Spain and the nearby Galician “rías”. It was originally a stopping point on a Roman road, but the discovery of the Apostle James' tomb at the beginning of the 9th century gave rise to a place of workship in the corner of the Iberian Peninsula, which was then dominated by the Moors. From then on all of Europe started walking towards Santiago, a holy city of Christendom where the grace of plenary absolution awaited them. A Romanesque cathedral then arose there, with the following centuries adding the sobriety of the Renaissance style and the majesty of a Baroque style that eventually characterised the city's monumental image, made from the granite of its monasteries, its pilgrim hospitals, its numerous churches, its stately houses and its squares, where time stands still.

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