Columbia Undergraduate Math Society

Spring 2024 <<  Summer 2024 Learning Seminar >> Fall 2024

Day and Time: Mondays, 5pm, on Zoom
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
TBD
TBD
 
August 5th
TBD
TBD
 
August 12
TBD
TBD
 
August 19
TBD
TBD
 
August 26
TBD
TBD
 
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