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Convergence: why bother?

Karol Kozlowski (Laboratoire de Physique, ENS de Lyon)
When Apr 29, 2021
from 02:00 to 03:00
Where visioconférence
Attendees Karol Kozlowski
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Jeudi 29 Avril

 

Title:  Convergence: why bother?

 Karol Kozlowski (Laboratoire de Physique, ENS de Lyon)

 

Abstract:  

I will review the motivations for one of my current research interests which aims at developing methods for proving the  convergence of a class of series of multiple integrals, namely series whose n-th summand is given by a n-fold integral. These series arise in the context of studying correlation functions in quantum integrable systems but also define a new class of special functions laying above the Painlevé class. More specifically, I will address the issue of convergence related to representations of two-point functions in the 1+1 dimensional massive quantum integrable Sinh-Gordon field theory.