Summer School Curvature & Applications, Chiemsee, 31.8. - 5.9.2025
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| Venue
| Program
Summer School 2025 – Schedule
| Time Slot |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| 08:00 – 09:00 |
Breakfast
|
| 09:00 – 10:00 |
Schmidt |
Bartels |
Schmidt |
Bartels |
Malchiodi |
| 10:30 – 11:30 |
Mäder-Baumdicker |
Schmidt |
Mäder-Baumdicker |
Mäder-Baumdicker |
Rupp |
| 12:00 – 13:30 |
Lunch break
|
| 13:30 – 15:00 |
Discussion Time
|
Excursion |
Discussion Time
|
| 15:00 – 16:00 |
Bartels |
Malchiodi |
Malchiodi |
|
| 16:30 – 17:30 |
Poster session |
Rupp |
Rupp |
|
| 18:00 – 19:30 |
Dinner
|
| Breakfast |
08:00 – 09:00 |
| Lunch |
12:00 – 13:30 (also on Friday) |
| Dinner |
18:00 – 19:30 |
| Discussion Time |
13:30 – 15:00 and evenings |
| Excursion Wednesday (after lunch) |
Lecture Titles and Abstracts
S. Bartels
Approximation of elastic rods
We address the numerical approximation of inextensible elastic rods that are described by framed curves. It turns out that a noncanonical treatment of the arclength constraint is required to obtain optimal convergence rates. Further aspects of the mini course are energy decreasing time-stepping schemes, stable discretizations of twist contributions and the practical realization of self-avoidance.
E. Mäder-Baumdicker
Parabolic monotonicity formulas in geometric flows and their applications
A. Malchiodi
Perturbative methods in geometric analysis
We will describe a versatile finite-dimensional reduction method for a
class of geometric problems that exploits variational structure and
allows to find existence and multiplicity of solutions.
We will focus on applications to the study of isoperimetric sets with
small volume, construction of constant mean curvature surfaces,
and well as Sachk-Uhlenbeck's approximation the harmonic energy.
F. Rupp
Varifolds and Curvature Energies
B. Schmidt
Curved elastic and inelastic plates
The topic of the lectures is the effective description of thin elastic structures that are subject to bending. We begin by reviewing some classical results on the derivation of suitable plate theories from three-dimensional non-linear elasticity. We then report on ongoing advances in deriving effective theories for thin sheets consisting of multiple layers with mismatching equilibria. Finally, we describe some recent advances which allow to model brittle materials that may develop folds and cracks.
