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[4:00pm] Ashish Shukla
 Description:
 Date and Time: Saturday 24 October, 04.00pm
Speaker: Ashish Shukla
Google Meet Link: https://meet.google.com/tbgfghhnmg
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


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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/afenzqzsgt
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 JordanHölder theorem for composition series.

