Surveys in Geometry I

Athanase Papadopoulos (born 1957) is Directeur de Recherche at the French Centre National de la Recherche Scientifique. His main fields of interest are geometry and topology, the history and philosophy of mathematics, and mathematics and music. He has held visiting positions at the Institute for Advanced Study, Princeton (1984–85 and 1993–94), USC (1998–1999), CUNY (Ada Peluso Professor, 2014), Brown University (Distinguished visiting professor, 2017), Tsinghua University, Beijing (2018), Lamé Chair of the State University of Saint Petersburg (2019), and has had several month visits to the Max-Plank Institute for mathematics (Bonn), the Erwin Schrödinger Institute (Vienna), the Graduate Center of CUNY (New York), the Tata Institute (Bombay), Galatasaray University (Istanbul), the University of Florence (Italy), Fudan University (Shanghai), Gakushuin University (Tokyo) and Presidency University (Calcutta). He is the author of more than 200 published articles and 35 monographsand edited books.

• 1 Athanase Papadopoulos, Introduction.- 2 Marek Lassak, Spherical geometry - A survey on width and thickness of convex bodies.- 3 Vitor Balestro and Horst Martini, Minkowski geometry - some concepts and recent developments.- 4 Javier Alonso at al., Orthogonality types in normed linear spaces.- 5 Ivan Izmestiev, Mixed volumes and inequalities.- 6 Gérard Besson and Gilles Courtois, Compactness and finiteness results for Gromov-Hyperbolic spaces.- 7 Valentin Poénaru, All 4-dimensional smooth Schoenflies balls are geometrically simply-connected - A fast survey of the proof.- 8 Valentin Poénaru, Classical differential topology and non-commutative geometry.- 9 Daniel Massart, A short introduction to translation surfaces, Veech surfaces and Teichmüller dynamics.- 10 Ken'ichi Ohshika, Teichmüller spaces and the rigidity of mapping class action.- 11 Indranil Biswas and Sorin Dumitrescu, Holomorphic G-structures and foliated Cartan geometries on compact complex manifolds.