Sat, October 24, 2020
Public Access

Category:
Category: All

24
October 2020
Mon Tue Wed Thu Fri Sat Sun
      1 2 3 4
5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30 31  
8:00am  
9:00am  
10:00am  
11:00am  
12:00pm  
1:00pm  
2:00pm  
3:00pm  
4:00pm [4:00pm] Ashish Shukla
Description:
Date and Time: Saturday 24 October, 04.00pm Speaker: Ashish Shukla Google Meet Link: https://meet.google.com/tbg-fghh-nmg Title: Representation theory of the symmetric group Abstract: We give a glimpse into the representation theory of the symmetric group (S_n). Here we begin by establishing the basics of representation theory by addressing questions such as: what is a representation? what is a module? how many irreducible representations are there? etc. We then answer these questions for the symmetric group. We define certain terminologies, building the basics of representation theory from introductory knowledge of linear algebra and group theory. We explore an intimate connection between Young tableaux and representations of the symmetric group. We describe the construction of Specht modules which are irreducible representations of S_n
5:00pm  
6:00pm  
7:00pm  
8:00pm  
9:00pm  
10:00pm  
11:00pm [11:30pm] Deep Makadiya
Description:
Date and Time: Saturday 24 October, 11.30am Speaker: Deep Makadiya Google Meet Link: https://meet.google.com/afe-nzqz-sgt Title: Schreier’s theorem Abstract: For any group G, Schreier theorem states that any two subnormal series of G have isomorphic refinements. This is one of the fundamental results in group theory. The proof involves another interesting lemma called Butterfly Lemma (also known as Zassenhaus Lemma). As a consequence of Schreier's theorem, we shall also outline a proof of Jordan-Hölder theorem for composition series.