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SUMMARY:Scalar curvature on manifolds with at least two ends - Rudolf Zeid
 ler (Muenster)
DTSTART:20231122T160000Z
DTEND:20231122T170000Z
UID:TALK205312@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:We will discuss geometric and topological consequences of posi
 tive lower scalar curvature bounds on manifolds with at least two ends. Th
 is will include two aspects: One the one hand\, quantitative distance esti
 mates in the presence of a particular lower scalar curvature bound\, and o
 n the other hand\, qualitative obstructions to the existence of complete p
 ositive scalar curvature metrics on certain (non-compact) manifolds. Both 
 types of results rely on augmenting classical techniques to study scalar c
 urvature – Dirac operator and minimal hypersurface methods – via a cer
 tain potential function. They are motivated by recent questions of Gromov 
 and an earlier conjecture due to Rosenberg--Stolz. The talk will in part b
 e based on joint work with Simone Cecchini and Daniel Räde.
LOCATION:MR13
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