COMSCAL

The ERC project Comparison and rigidity for scalar curvature “COMSCAL” aims to gain fundamentally new insights on the geometry of spaces with lower scalar curvature bounds. We combine various tools from different areas such as geometric analysis, global analysis, non-commutative geometry and topology as needed, and will study applications to geometric aspects of mathematical relativity.

Team

• Rudolf Zeidler (PI)
• Thomas Tony (PhD student)

Short-term visitors

• Simone Cecchini (Texas A&M University): 30 June – 14 July, 2024
• Shota Hamanaka (Osaka University): 25 June – 13 July, 2024

Publications

• [T. Tony] A note on Ricci-flat manifolds, parallel spinors and the Rosenberg index. Preprint, 2024. arXiv
• [S. Cecchini, G. Frenck, R. Zeidler] Positive scalar curvature with point singularities. Preprint, 2024. arXiv
• [S. Cecchini, S. Hirsch, R. Zeidler] Rigidity of spin fill-ins with non-negative scalar curvature. Preprint, 2024. arXiv
• [T. Tony] Scalar curvature rigidity and the higher mapping degree. Journal of Functional Analysis (to appear). Preprint, 2024. arXiv

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Funded by the European Union (ERC Starting Grant 101116001 – COMSCAL). Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.