Day and Time: Mondays, 5pm, on Zoom
Recordings are posted here.
Topic: Representation Theory
Reference: Representations and Characters of Groups Contact UMS (Email Lisa Faulkner Valiente)
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Date  Speaker  Title  Abstract 
July 15 
UMS Officers

Introduction 
We will first introduce Summer UMS and then decide on the logistics for the next weeks. We will go over some potential textbooks we could cover and then pick one by vote. Every member will then have the opportunity to sign up to give a talk.

July 22 
Lisa Faulkner Valiente

Review of Linear Algebra and Group Theory  We review key definitions and results in linear algebra and group theory that will be relevant when studying representation theory, including eigenvalues and eigenvectors, the definition of a module, normal subgroups and quotient groups, and the first isomorphism theorem. If time permits, we will also give a precise definition of a representation of a group, and an example. 
July 29 
Yiming Song

Properties of Representations 

August 5th 
Joseph McGill

FGModules, Irreducibility, and Regular Representations 
After learning about FG modules last week, we want to explore their structure more in depth. This week we will discuss the idea of reducibility, along with specific useful modules such as the permutation modules. Finally we will tie these all together and discuss the group algebra, which gives way to the regular representation.

August 12 
TBD

TBD 

August 19 
TBD

TBD 
TBD

August 26 
TBD

TBD 

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