На 30 юни 2023 г. от 15:30 часа и 17:00 часа
в зала „Проф. Марин Дринов“ на БАН (Голям салон, ул. „15 ноември“ № 1)
лекции ще изнесе световноизвестният физик
Prof. Michael R. Douglas, Harvard University.
15:30 ч. Лекция 1: Tameness and quantum field theory
Резюме: I will discuss the notion of a space of quantum field theories, and explain various approaches to its definition and some of its expected properties. I will then cover joint work with Thomas Grimm and Lorenz Schlechter on tameness of quantum field theories. This is based on the mathematical concept of o-minimal structures, which has been very powerful for proving finiteness results. Given a QFT or a space of QFTs, we define a corresponding structure, and conjecture in many cases that it is tame (o-minimal). We also show that Feynman amplitudes at any fixed loop order are tame.
17:00 ч. Лекция 2: Numerical methods for differential geometry
Резюме: State of the art machine learning techniques can be adapted to many problems in scientific and mathematical computation. In this talk, I will explain how this can be done for problems such as finding a numerical approximation to a Ricci flat metric, and discuss results for Calabi-Yau and G2 manifolds as well as exploratory studies on other manifolds.
Лекциите са част от серията Consortium Distinguished Lecture Series – съвместна инициатива на Международния център по математически науки (МЦМН) към ИМИ-БАН и Institute of the Mathematical Sciences of the Americas at the University of Miami (IMSA).
Повече информация за лектора, както и заглавия и абстракти на двата доклада, ще намерите на следния линк:
https://icms.bg/consortium-