Second research meeting of the section "Analysis" of the BTU Cottbus-Senftenberg

This is the first meeting of the Section "Analysis" of the Brandenburg University of Technology Cottbus-Senftenberg. The aim of this meeting is that new members of the section have the opportunity to introduce themself and to start collaborations with other members of the section. Each year, there is a main topic of the annual meeting. This year, we want to discuss the fundamental gap conjecture of Schrödinger operators in one-dimension and aim to generalize the theory to more general second-order differential operators.

Participants

  • M. Sc. Rui Chen
  • Dr. Guy Foghem
  • Prof. Dr. Daniel Hauer
  • B. Sc. (Hons) Jessica Slegers
  • M. Sc. Tobias Starke
  • M. Sc. Shiyuan Wang

Guests

  • TBA

Program

Tuesday, 7. April 2026

14:00 pm: Departure from the BTU Campus to Monastary Marienthal at Ostritz.
17:30 pm: Dinner
19:00 pm: Evening talk: TBA

Wednesday, 8. April 2026

07:00 am: Jogging (voluntary)
08:00 am: Breakfast
09:15 am:Talk on A Hellmann–Feynman result for nonlinear p-Laplace type operators by Dr. Guy Foghem 
09:45 am:Talk on A Sturm-Liouville theory for the nonlinear Sturm-Liouville
operator
by Tobias Starke 
10:30 am: Coffee break
10:50 am:Talk on A monotonicity result and the roots of the quotient \(\frac{u_2}{u_1}\) and the difference \(|u_2|^{p}-|u_1|^p\)  by Shiyuan Wang 
11:35 am: Talk on Proof of the fundamental gap conjecture for symmetric single-well potentials by Rui Chen
12:30 pm: Lunch break
14:30 pm: Talk on The fundamental gap conjecture in one-dimension and with convex potentials by Prof. Daniel Hauer 
15:30 pm: Coffee break
16:00 pm: Research meeting in groups
17:30 pm: Dinner
19:00 pm: Evening talk: TBA.

Donnerstag, 9. April 2026

07:00 am: Jogging (voluntary)
08:00 am: Breakfast
09:15 am: Research meeting in groups
10:30 am: Coffee break
11:00 am: Closing
11:30 am: Lunch and departure