Weak KAM theory on metric spaces
Date:
Friday, March 24, 2023 15:30 - 16:30
Speaker:
Albert Fathi (Georgia Institute of Technology)
Location:
Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series:
DynamIST
Host:
Kaloshin Group
Contact:
FRANCOIS-RENNHOFER Christine
Weak KAM theory originally connected Mather theory of Lagrangian Systems with Viscosity Theory of the solutions of the corresponding hamilton-Jacobi Equation.
We will show that we can recover just from the Ma potential concepts like Peierls barrier, Aubry sets, viscosity subsolutions and solutions. This allows the theory to apply in the more general framework of compact metric spaces.