Lecturer:
Course Type:
PhD Course
Academic Year:
2017-2018
Period:
October-March
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
Lecture Notes: You can find weekly updated lecture notes, written by Enrico Pasqualetto, by clicking this link.
Research Group:
Location:
A-133