Ciclo Conferencias Magistrales del 45 Aniversario
Richard Montgomery
Fecha: 19 de marzo
Hora: 4:00 pm
Lugar: Auditorio Canavati
Resumen: I look back over my career and the instrumental role that CIMAT played in it.
My research trajectory has been a journey backward in time, starting out wanting to work in the gauge theory which dominated the high-energy physics of the 1960s through the 1980s and arriving eventually to problems posed by Newton in 1687. I will highlight some representative theorems described in the two books I've written, the first book here at CIMAT, and how ideas from gauge theory are essential to their perspectives. I aim to end with a theorem proved last year with Rick Moeckel: ``No infinite spin'', arxiv: 2302.00177. I aim to begin by describing two ways that gauge theories typically are constructed: by building up and attaching groups to each point of some manifold, or by tearing down and forming the quotient space of a (Riemannian) manifold by a (free) group action.
Richard Montgomery
Professor, Emeritus, Mathematics, UC Santa Cruz
rmont@ucsc.edu
web: https://peopleweb.prd.web.aws.ucsc.edu/~rmont/
My new book: https://www.cambridge.org/us/universitypress/subjects/mathematics/differential-and-integral-equations-dynamical-systems-and-co/four-open-questions-n-body-problem?
