― 対称性・特異点・力学系の視点から―

Geometric Structures and Differential Equations
-- Symmetry, Singularity, and Dynamical Systems --

Programme

Tuesday, 17/December/2024
13:20 - 13:30
Opening
13:30 - 14:20
Elmar Schrohe (Leibniz University Hannover)
The plasmonic eigenvalue problem, the Calderón projector and the Dirichlet-to-Neumann operator on manifolds with fibered cusp singularities
14:40 - 15:30
Takaharu Yaguchi (Kobe University)
On a posteriori estimates of physics-informed neural networks for solving partial differential equa- tions
15:40 - 16:30
Linyu Peng (Keio University)
The construction of invariant variational integrators via moving frames


Wedensday, 18/December/2024
9:45 - 10:35
Goo Ishikawa (Hokkaido University)
Prolongations of distributions from a viewpoint of sub-Riemannian geometry
11:00 - 11:50
Irina Markina (University of Bergen)
Local invariants and geometry of the sub-Laplacian on H-type foliations
13:45 - 14:35
Sonja Hohloch (University of Antwerp)
On the affine invariant of hypersemitoric systems
14:50 - 15:40
Jérémie Pierard de Maujouy (University of Tours)
The statistical manifold approach to thermodynamics
16:00 - 16:50
Veronique Fischer (University of Bath)
High frequency analysis in sub-Riemannian geometry


Thursday, 19/December/2024
9:45 - 10:35
Yoshio Uwano (Kyoto Pharmaceutical University)
The phase space description of the geodesics on the quantum statistical manifold
11:00 - 11:50
Chisato Iwasaki (University of Hyogo)
Symbolic calculus of pseudo-differential operators on manifolds with conical singularities
13:30 - 14:20
Junya Takahasi (Tohoku University)
Comparison of the eigenvalues of the Hodge-Laplacian and special holonomy groups
14:40 - 15:30
François Gay-Balmaz (Nanyang Technological University)
Geometry and numerics of Navier-Stokes-Fourier fluids
15:40 - 16:30
Kenro Furutani (Osaka Metropolitan University / Tokyo University of Sciences)
Lagrangian submanifold satisfying Maslov's quantization condition


Friday, 20/December/2024
9:45 - 10:35
Genki Ishikawa (Ritsumeikan University)
Stability analysis for the pseudo-Riemannian geodesic flows of step-two nilpotent Lie groups
11:00 - 11:50
Tudor S. Ratiu (Shanghai Jiao Tong University)
The Teichmüller space obtained by reduction
11:50 - 12:00
Closing