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Nonsmooth differential geometry

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2024-2025
Period: 
November - February
Duration: 
40 h
Description: 
In the first part we will show that on general metric measure spaces, a `Sobolev-like’ first-order differentiation theory is possible, with objects like differential forms and vector fields well defined. 
 
In the second part we will study spaces with Ricci curvature bounded from below, and see that on them the curvature bound makes it possible a second-order calculus, so that, among others, Hessian and covariant derivative are both well defined.
Location: 
A-133
Next Lectures: 
Tuesday, December 10, 2024 - 09:00 to 11:00
Monday, December 16, 2024 - 09:00 to 11:00
Tuesday, December 17, 2024 - 09:00 to 11:00
Tuesday, January 7, 2025 - 09:00 to 11:00
Monday, January 13, 2025 - 09:00 to 11:00
Tuesday, January 14, 2025 - 09:00 to 11:00
Monday, January 20, 2025 - 09:00 to 11:00
Tuesday, January 21, 2025 - 09:00 to 11:00
Monday, January 27, 2025 - 09:00 to 11:00
Tuesday, January 28, 2025 - 09:00 to 11:00
Monday, February 3, 2025 - 09:00 to 11:00
Tuesday, February 4, 2025 - 09:00 to 11:00
Monday, February 17, 2025 - 09:00 to 11:00
Tuesday, February 18, 2025 - 09:00 to 11:00
Monday, February 24, 2025 - 09:00 to 11:00

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