S5B3: Graduate Seminar on New Developments in PDE - Advances in Inverse Problems and the Calculus of Variations
This is a research-oriented seminar focusing on the research interests of the group supervised by Prof. Dr. Angkana Rüland, in particular inverse problems and topics from the calculus of variations.
A preliminary meeting, during which seminar topics will be assigned, will take place in the room 0.011 on February 9 at 4:15 in the room 0.011. If you are unable to attend the preliminary meeting, please send a brief email to mailto:lmachill(at)uni-bonn.de. The seminar takes place on Thursday at 10:15 in N0.007, and the first meeting is on the 16.04.2026.
(Preliminary) Calendar
- 16.04.2026: Hendrik Baers
Quantitative reduction of a fractional Calderón problem to the corresponding local Calderón problem
Abstract: The Calderón problem is one of the classic examples of an inverse problem. It is about determining the conductivity of a medium by making voltage and current measurements on its boundary. Some of the main questions of interest are about uniqueness and stability of this reconstruction. In this talk, we will consider the fractional (or nonlocal) and the local formulation of a Calderón problem and discuss their relation. We will prove that the fractional problem can be quantitatively reduced to the local one. In particular, stability estimates for the local problem can be transferred to stability estimates for the nonlocal problem. The results presented in this talk are based on joint work with Angkana Rüland.
- 23.04.2026: Sofia Raible
tba
- 30.04.2026: Antonio Tribuzio
tba
- 07.05.2026: Lennart Machill
tba
- 14.05.2026: Christi Himmelfahrt (i.e. no meeting)
tba
- 21.05.2026: Timo Hofmann
tba
- 28.05.2026: Pfingsten (i.e. no meeting)
tba
- 4.06.2026: Fronleichnam (i.e. no meeting)
tba
- 11.06.2026: Noah Piemontese-Fischer
tba
- 18.06.2026: Eske Bockelmann
tba
- 25.06.2026: Toni Abi Aoun
Geometric rigidity for incompatible fields & an application to strain-gradient plasticity
Note: this talk is based on the homonymous paper by S. Müller, L. Scardia, and C. Zeppieri from 2014
- 2.07.2026: Christian Poggenburg
tba
- 09.07.2026: Daniel Linn
tba
- 16.07.2026: Tamari Bandzeladze
Crystallization in the Winterbottom shape and sharp fluctuation laws
Note: this talk is based on the homonymous paper by M. Friedrich, L. Kreutz, U. Stefanelli from 2025
- 23.07.2026: Jolanda Weygandt
Uniform stability estimates for the discrete Calderon problems
Note: this talk is based on the homonymous paper by S. Ervedoza, F. de Gournay from 2011