Block seminar Recent Developments in the Positive Mass Theorem

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Block seminar Recent Developments in the Positive Mass Theorem

Semester
WiSe 2026 / 27

Lecturer
Bernd Ammann, Bernhard Hanke

Type of course (Veranstaltungsart)
Seminar

German title
Blockseminar Neue Entwicklungen zum Satz der positiven Masse

Contents
The positive mass theorem attracts interest since many years, in particular due to its relations to general relativity and the Yamabe problem.
The main ideas for its proof are the hypersurface method by Schoen and Yau and the spinorial proof by Witten.
In the last months we have seen some preprints on the arxiv, which provide spectacular new ideas to the field, we will read an article by Brendle and Wang, and also a related one by Bi, Hao, He, Shi, and Zhu.

Literature

Yuchen Bi, Tianze Hao, Shihang He, Yuguang Shi, and Jintian Zhu. A proof for the riemannian positive mass theorem up to dimension 19, 2026.
https://arxiv.org/abs/2603.02769.
Simon Brendle and Yipeng Wang. A dimension descent scheme for the positive mass theorem in arbitrary dimension, 2026.
https://arxiv.org/abs/2604.08473.

Recommended previous knowledge
Very solid knowledge in Riemannian geometry and Geometric analysis

Time/Date
Nov 9 -- Nov 13

Location
Kloster Frauenwörth

Course homepage
https://ammann.app.uni-regensburg.de/lehre/2026w_pmt
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

send an Email to Bernd Ammann

Course work (Studienleistungen)

Presentation: Giving a seminar talk of roughly 90 minutes

Examination (Prüfungsleistungen)

Detailed written report of the seminar talk

Modules
MV

ECTS
4,5

Druckansicht