Time: 2PM, Monday, August 24, 2026

Venue: Room 301A5

Online participation:

Join Zoom Meeting
https://zoom.us/j/98335441042?pwd=6hG5wGuebcUK0xoqE4difbZgK4OCLY.1

Meeting ID: 983 3544 1042

Passcode: 123456

Abstract: Metrics on categories go back to the 1970s. In 2018 I proved that a certain completion of a triangulated category, with respect to a good metric, has a natural triangulated structure.
The recent work shows two things:

• It describes conditions on the metric, which guarantee that the construction is involutive.
• It shows a compatibility with dg and stable-infinity enhancements. And this gives a powerful tool for proving new uniqueness-of-enhancement results.

Amnon Neeman is an Australian mathematician working in algebraic K-theory, algebraic geometry, topology, and homological algebra. His results on the K-theory of triangulated categories were startlingly original, and completely changed the subject. He proved a version of Brown's representability theorem for triangulated categories, leading to a new proof of Serre–Grothendieck–Verdier duality, a fundamental result in algebraic geometry. He constructed a counterexample to a classical result by Jan-Erik Roos (1961).

https://mathscinet.ams.org/mathscinet/author?authorId=129970