PWF Latin America - Physics Latam: Infinite-dimensional Lie Algebras
Starts 13 Mar 2024 10:00
Ends 31 Aug 2024 13:00
Advanced Lectures on Theoretical Physics & Math
Supporting teaching and research in Latin America
Physics Latam will offer an online advanced course in Quantum Information Theory for undergraduate and graduate students in Latin America.
The Infinite-dimensional Lie Algebras course, will be taught online from 13th March to 31st August 2024 by Sebastian Schlegel Mejia (Max Planck Institute for Mathematics-Bonn, Germany). Physics students from different universities in Latin America will be trained in Kac-Moody Lie algebras, inInfinite-dimensional Lie Algebras,affine Dynkin diagrams and its applications. Every student who successfully completes the course will receive an ICTP-PWF certificate at the end.
The classification of simple Lie algebras through Cartan matrices and Dynkin diagrams is one of the most gratifying achievements in mathematics. Kac-Moody Lie algebras build upon this classification to explore the realm of infinite-dimensional Lie algebras, which is the focal point of this course. A significant subset of these is the affine Lie algebras, classified by affine Dynkin diagrams. After studying the Virasoro Lie algebra and its representations, we will construct the theory of Kac-Moody Lie algebras and their representations from scratch. Syllabus.
Goals and deliverables
Help students in Latin America by teaching lectures on Infinite-dimensional Lie Algebras.
Help students to be familiar with advanced research topics in this area.
Students will solve weekly assignments on these topics.
Top students without MSc./Ph.D. will be mentored to pursue studies abroad, giving advice and recommendations about scholarships at international programs.
The application procedure is now open HERE. For more information visit our Website.
Sebastian Schlegel Mejia (Max Planck Institute for Mathematics-Bonn, Germany)
Daniel Bermudez (HCM-University of Bonn)
Jethro van Ekeren, IMPA
Reimundo Heluani, IMPA
Hiraku Nakajima, Kavli Institute IPMU
Satoshi Nawata, Fudan University
Susan Sierra, University of Edinburgh
Valerio Toledano Laredo, Northeastern University
Organizer and Project Director
Daniel Galviz, YMSC (Tsinghua University)