Ben Walker uses AI. His research field is AI. What's his take on its mathematical talents?

Solving, tracking and stopping streaming linear inverse problems
Pritchard, N Patel, V Inverse Problems volume 40 issue 8 (01 Aug 2024)
Mean-ρ portfolio selection and ρ-arbitrage for coherent risk measures
Herdegen, M Khan, N Mathematical Finance volume 32 issue 1 226-272 (01 Jan 2022)
p-Arbitrage and p-Consistent Pricing for Star-Shaped Risk Measures
Herdegen, M Khan, N Mathematics of Operations Research volume 50 issue 2 1555-1583 (01 May 2025)
Exact Characterization of Aggregate Flexibility via Generalized Polymatroids
Mukhi, K Loho, G Abate, A IEEE Transactions on Smart Grid volume PP issue 99 1-1 (30 Jan 2026)
Tue, 17 Feb 2026
13:15
C4

Ricci flow on ALF manifolds

Dain Kim
(MIT)
Abstract

Asymptotically Locally Flat (ALF) Ricci-flat metrics are expected to model certain long-time singularities in four-dimensional Ricci flow, so understanding their stability is essential. In this talk, I will discuss that conformally Kähler, non-hyperkähler Ricci-flat ALF metrics are dynamically unstable under Ricci flow. Our work establishes three key tools in this setting: a Fredholm theory for the Laplacian on ALF metrics, the preservation of the ALF structure along the Ricci flow, and an extension of Perelman’s λ-functional to ALF metrics. This is joint work with Tristan Ozuch.

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