Title：Mini-Course on Infinite-dimensional Lie algebras

Speaker：汪永杰  （合肥工业大学）

Time & Room： 

      9月16日  15:00-17:30,  五教 5104

      9月18日  15:00-17:30,  五教 5307

      9月20日  15:00-17:30,  五教 5307

Abstract：In last fifty years, the infinite-dimensional Lie algebras have played important roles in the other mathematical fields such as combinatorics, number theory, topology, integrable system, vertex algebras, quantum field theory in physic.  In the three lectures I am going to address some basic definitions and properties such as constructions, bilinear form, weyl groups, realizations and so on for (affine) Kac-Moody algebras.

Plan in details: 

1: Construction of Kac-Moody algebras

2: Invariant forms & Casimir operator

3: Weyl groups & Root systems of affine Kac-Moody algebras

4: Loop realizations of affine Kac-moody algebras

5: Integrable modules & Kac-Weyl character formula (If time permits).

欢迎感兴趣的师生参加！