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Nonsmooth Differential Geometry

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
Location: 
A-136
Next Lectures: 
Monday, December 13, 2021 - 09:00 to 11:00
Tuesday, December 14, 2021 - 09:00 to 11:00
Monday, December 20, 2021 - 09:00 to 11:00
Tuesday, December 21, 2021 - 09:00 to 11:00
Monday, January 10, 2022 - 09:00 to 11:00
Tuesday, January 11, 2022 - 09:00 to 11:00
Monday, January 17, 2022 - 09:00 to 11:00
Tuesday, January 18, 2022 - 09:00 to 11:00
Monday, January 24, 2022 - 09:00 to 11:00
Tuesday, January 25, 2022 - 09:00 to 11:00
Monday, January 31, 2022 - 09:00 to 11:00
Tuesday, February 1, 2022 - 09:00 to 11:00
Monday, February 7, 2022 - 09:00 to 11:00
Tuesday, February 8, 2022 - 09:00 to 11:00

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