Semen Artamonov , Yevgen Makedonskyi , Pavel Nikitin , Shamil Shakirov , Xiaoming John Zhang

Bertuel Tangue Ndawa

Wednesday, May 27, 2026 1:00 PM - 2:30 PM

A6-101

Zoom 204 323 0165 (BIMSA)

A bi-Lagrangian manifold is a quadruple \((M, \omega, F_1, F_2)\), where \(\omega\) is a symplectic form on \(M\), and \((F_1, F_2)\) is a pair of transversal Lagrangian foliations on the symplectic manifold \(M, \omega\). In other words, \((\omega, F_1, F_2)\) defines a Lagrangian structure on \(M\). Such a structure admits a unique torsion-free linear connection, called the Hess connection, which parallelizes the symplectic form and preserves both foliations. In this talk, we compute the Hess connection associated with a bi-Lagrangian structure arising from a cubic hypersurface and characterize the flatness condition.

Based on joint work with:
Karamoko Diarra, Univ des Sc, des Techni et des Techno de Bamako, Mali.
Adjaratou Arame Diaw, Univ Cheikh Anta Diop, Dakar, Senegal.
Frank Loray, Univ Rennes, CNRS, France.

Dr. Bertuel Tangue Ndawa is a senior lecturer at the University Institute of Technology, University of Ngaoundéré, Cameroon. He held a Research in Residence position at the Centre International de Rencontres Mathématiques (CIRM) in 2024 and was an invited researcher at the Institut des Hautes Études Scientifiques (IHES) in 2025. His research interests include Cherry maps, bi-Lagrangian manifolds, and twisted Poisson manifolds.

He is visiting BIMSA with a support from the "ICMRA Visiting Scholars Program".