06.06.2023, 15 Uhr
Phenomena in High Dimensions
Pierre Youssef (New York University, Abu Dhabi)
Sylvie Paycha (Uni Potsdam)
How to evaluate meromorphic germs at their poles while preserving a locality principle reminiscent of locality in QFT is a question that lies at the heart of pQFT. It further arises in other disguises in number theory, the combinatorics on cones and toric geometry. We introduce an abstract notion of locality and a related notion of mutually independent meromorphic germs in several variables. Much in the spirit of Speer's generalised evaluators in the framework of analytic renormalisation, the question then amounts to extending the ordinary evaluation at a point to certain algebras of meromorphic germs, in such a way that the extension factorises on mutually independent germs. In the talk, we shall describe a family of such extended evaluators and show that modulo a Galois type transformation, they amount to a minimal subtraction scheme in several variables.
This talk is based on ongoing joint work with Li Guo and Bin Zhang.
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