Examples of S-duality in U(1) gauge theory

Ponente: Yen-Yo Chen
Institución: École Polytechnique Fédérale de Lausanne
Tipo de Evento: Investigación, Divulgación

Cuándo	20/08/2024 de 12:00 a 13:00
Dónde	Auditorio "Alfonso Nápoles Gándara"
Agregar evento al calendario	vCal iCal

S-duality is a physical prediction of equivalences between quantum field theories which, so far, does not admit a rigorous definition in full generality. However, these equivalences foresee coincidences of "measurements" that can be corroborated by mathematical theorems. In this expository talk, I will explain some aspects of S-duality in the setting of U(1) gauge theory on surfaces, in which these predictions interact beautifully with familiar mathematical concepts such as Hodge theory and class field theory.