Welcome to the website of the seminar organized by the Differential Geometry groups of Università di Torino and Politecnico di Torino.
For any information, please send an e-mail to dgseminar.torino@gmail.com.
The talks will take place either at the Deparment of Mathematics "G. Peano" (Università di Torino) or at the Department of Mathematical Sciences "G.L. Lagrange" (Politecnico di Torino).
NEXT TALK
28/05/2026, 11.30, Aula 1, Deparment of Mathematics "G. Peano" , Università di Torino,
The Berger conjecture for three dimensional manifolds
Abstract: A conjecture of Berger states that on a simply connected manifold M in which all geodesics are closed, all geodesics have the same length. In this thesis, we prove that this conjecture holds for three dimensional manifolds. The proof is carried out in two parts. In the first part, we use the Morse theory of the free loop space of M to deduce that the geodesic flow acts freely on the unit tangent bundle T^1M, or that it has at least two distinct singular orbit types. In the second part, we apply methods from symplectic geometry and topology to investigate the topology of the symplectic orbifold T^1M/S^1, which arises as the quotient of the unit tangent bundle T^1M by the S^1-action induced by the geodesic flow.
FORTHCOMING TALKS
16/06/2026, 14.40, Sala S, Deparment of Mathematics "G. Peano", Università di Torino, Dott. Parker Evans.
25/06/2026, 14.30, Sala S, Deparment of Mathematics "G. Peano" , Università di Torino, Prof.ssa Catherine Searle.