| Description |
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. Lecturer Sebastian Schlegel Mejia (Max Planck Institute for Mathematics-Bonn, Germany) Teaching Assistants Daniel Bermudez (HCM-University of Bonn) Guest Speakers 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) |
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Poster
PWF Latin America - Physics Latam: Infinite-dimensional Lie Algebras
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