On a parabolic curvature lower bound generalizing Ricci flows

Speaker(s)

Erik Hupp (University of Vienna)

Language of the talk

English

Date

Nov. 5, 2026, 12:30 p.m.

Room

room 5070

Seminar

Seminar of Mathematical Physics Equations Group

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This talk investigates a connection between two objects of central interest in geometric analysis: (1) Ricci flows (introduced and developed by Hamilton, with powerful analytic tools established later by Perelman); (2) metric-measure spaces satisfying a synthetic curvature lower bound (in the Bochner inequality sense of Bakry-Émery, or the optimal transport sense of Sturm/Lott-Villani). A lesson from (2) is that “good analysis” on a large class of metric-measure spaces, including smooth complete Riemannian manifolds, is ultimately due to a uniform lower bound on the Ricci curvature, suitably generalized. Where, then, is the Ricci lower bound underlying (1)? We will recall Buzano’s “D condition”, and then argue that it is precisely the missing piece. Everything discussed is joint work with M. Flaim.

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