MaPSS: Maths Postgraduate Seminar Series: Joseph Baine -- An introduction to the representation theory of algebraic groups

Hello all,

The next MaPSS talk of this semester will be at 17:00 on Mon 8th October in Carslaw
535. It’s a great opportunity to meet fellow postgrads, listen to an interesting talk,
and of course get free food!

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Speaker: Joseph Baine

Title: An introduction to the representation theory of algebraic groups

Abstract: Algebraic groups are groups where multiplication and inversion are given by 
regular maps. They are some of the most important objects in mathematics, and include 
groups such as GL_n, SL_n, O_n, and Sp_2n. In this introductory talk we will introduce 
the concept of a representation of an algebraic group G, and will explicitly construct 
all finite dimensional SL_2 representations over the complex numbers. We will then 
explore some of the subtleties that arise when considering representations over a 
field of prime characteristic. If time permits, I will also discuss my research into 
an algebraic proof of character formula for certain simple modules considered by 
Gilmer and Masbaum. 

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See you there!

Details can also be found on the school’s new Postgraduate Society website: 
http://www.maths.usyd.edu.au/u/MaPS/mapss.html 
 
Cheers,
Alex