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Résumé |
Among all divergent integrals, the ones that behave like dt/t near t=0, called «
logarithmically divergent », are arguably the simplest, and play a very special
role. In this talk I will explain how the art (known as « logarithmic
regularization ») of assigning a finite value to those integrals can be turned
into a well-structured theory of integration which naturally generalizes the
classical theory of integration on manifolds.
I will also present some questions from physics which motivated this work, ranging
from deformation quantization of Poisson manifolds to string amplitudes (joint
work with Erik Panzer and Brent Pym). |
