May 19 – 27, 2025
Institut Henri Poincaré
Europe/Paris timezone

Local finite quantum dynamics in complexified time

May 21, 2025, 9:30 AM
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Speaker

Raphael Belliard (University of Saskatchewan in Saskatoon)

Description

After recalling the categorical axioms of local quantum field theory à la Reshetikhin, and verifying that quantum mechanics constitutes an instance of it, we will introduce its subsector consisting of models whose time-dependence admits a complexification to a complex curve. Under genericity assumptions, we will show how the moduli description of Boalch, and a twist of the Biswas-Hurtubise canonical kernel, provide the sought restricted categorical formulation. We will conclude by mentioning the new perspective this offers on quantum dynamics.

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