Lecturer:
Course Type:
PhD Course
Academic Year:
2021-2022
Period:
October
Duration:
60 h
Description:
1. First order calculus on metric measure spaces:
- Sobolev functions on metric measure spaces
- Lp-normed modules
- differential calculus on metric measure spaces
- maps of bounded deformation and their differential
2. Second order calculus on RCD spaces:
- definition of RCD spaces
- the space W2,2 and Hessian of a function
- covariant and exterior differentiation
- aspects of cohomology
- if time permits: applications to geometry
Research Group:
Location:
A-136