Infinite-dimensional
Lie algebras
Lecturer: Sebastian Schlegel Mejia
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The course is evaluated with assignments (60%), seminars (10%) and a final exam (30%).
Applications are now open closed.
Lecture Notes
1, 2 , 3 , 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
Guest Talk
Satoshi Nawata [Branes and Representations of Double Affine Hecke Algebras] [Slides]
Susan Sierra [One and two-sided ideals in enveloping algebras of infinite-dimensional Lie algebras] [Slides]
Valerio Toledano Laredo [Braid Groups, Differential Equations, and Quantum Groups] [Slides]
Hiraku Nakajima [Quiver Varieties] [Slides]
Jethro van Ekeren [Notions of Vertex Algebra] [Slides I Â II]
Reimundo Heluani [Vertex algebras and algebraic curves] [Slides]
LITERATUREÂ
Victor G. Kac . Infinite Dimensional Lie Algebras.
Iain Gordon. Infinite Dimensional Lie Algebras.Â
Goddard and Olive. Kac—Moody and Virasoro algebras in relation to quantum physics.
successfully passed students
Uriel Aguilar🇲🇽
(UAM-Azcapotzalco, MX)
Juan Chica 🇪🇨
(Escuela Politécnica Nacional, EC)
Elkin Eraso🇨🇴
(Universidad Nacional de Colombia, CO)
Andrés Guarin 🇨🇴
(Universidad Industrial de Santander, CO)
Nicolás Hernández🇨🇴(Universidad Industrial de Santander, CO)
Gabriel Jalil 🇦🇷
(Universidad Nacional del Sur, AR)
Cristian López 🇨🇴(Universidad Nacional de Colombia, CO)
Isaac Mendez 🇲🇽
(Universidad Autónoma del Estado de Mexico, MX)
Angie Milena 🇨🇴
(Universidad Industrial de Santander, CO)
Jaqueline Muñoz 🇲🇽
(Universidad Autónoma del estado de Hidalgo , MX)
Jheny Rodriguez 🇨🇴
(Universidad Nacional de Colombia, CO)
Rubén Túquerrez🇪🇨
(Escuela Politécnica Nacional, EC)
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)
