Sinica - NCTS/TPE Summer School on infinite-dimensional Lie Algebras

 

 

 


Dates:
August 16 - August 27, 2010 Monday - Friday

Venue: Auditorium, Institute of Mathematics, Academia Sinica
6F Astronomy-Mathematics Building, 1 Roosevelt Road, Section 4, Daan, Taipei, 10617
(The building is numbered 114 on National Taiwan University campus map)
10617 台北市大安區羅斯福路四段1號 天文數學館6樓 中研院數學所6樓演講廳
(臺大地圖第114號建築物 )

Coordinators/Lecturers:
Shun-Jen Cheng (Academia Sinica), Meng-Kiat Chuah (National Tsing-Hua University),
Ching Hung Lam (Academia Sinica), Ngau Lam (National Cheng Kung University)

Syllabus:
The purpose of this two week summer school is to introduce advanced undergraduate and beginning graduate students
to the representation theory of Kac-Moody algebras. We will start by covering the basic theory of finite-dimensional
complex Lie algebras and their finite-dimensional representation theory over the field of complex numbers in the first
part of the course. In the second part we will introduce Kac-Moody Lie algebras and their integrable representations.
We will discuss the celebrated Weyl-Kac character formula and its various consequences. Modular invariance of the
characters of affine algebras and further advanced topics, e.g. vertex constructions of the basic representations,
connections with finite group theory, etc., will be treated if time permits.

Prerequisites:
Knowledge of linear algebra, undergraducate algebra & sufficient mathematical maturity

Tentative Schedule:
Lectures: 10:00 - 12:00, 13:30 - 14:30
Tutorial: 15:30 - 16:30

Selection: Students who are interested in attending the summer course are required to apply by submitting the followings
1) A copy of academic transcript (including the most recent ones)
2) A completed application form please click here to download

Application Deadline: on June 30th, 2010
Applications are to be e-mailed to Ms. Li-Wu Chen 陳麗伍 at liwuchen@math.sinica.edu.tw
Admitted applicants will be notified individually on July 14th, 2010.

Accommodation arrangement is available upon request for participants coming from farther than Hsin-Chu area .
There is no course fee required for attending the course.

Sponsors:
Institute of Mathematics, Academia Sinica
National Center for Theoretical Sciences/ Taipei Office

For more information, please contact below:
Ms. Li-Wu Chen 陳麗伍
E-mail:liwuchen@math.sinica.edu.tw
Tel:02-23685999Ext.341

Fax:02-23689771
Website:http://www.math.sinica.edu.tw/

Address: Institute of Mathematics, Academia Sinica,
6F Astronomy-Mathematics Building, No. 1 Sec. 4 Roosevelt Road, Daan, Taipei, 10617, Taiwan R.O.C.

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