Description

What is the common thing between some integers and symmetries of an equilateral triangle? How studying rotations on a circle helps us understand quantum mechanics? Groups and their representations provide an amazing framework for many physics and chemistry theories. Understanding how certain groups act on physical systems, both classical and quantum, helps us to build models and make predictions. In this talk, we discover how abstract mathematical notions such as groups and representation theory and counterintuitive nature of quantum mechanics come together to guide us in our journey to explore the world we live in. This talk is designed to be accessible to any person with some understanding of calculus and a little bit of linear algebra.

Presenter Bio

Dr. Vehbi Paksoy completed his PhD studies on algebraic and complex geometry at Brandeis University, Massachusetts. After completion, he worked as visiting scholar and researcher at National University of Singapore and University of Regensburg, Germany. Dr. Paksoy returned to USA to join the faculty at Pomona College and Claremont McKenna College in California. Dr. Paksoy has been a faculty member at NSU Florida since 2008. His current research includes differentiable geometry, linear and multilinear algebra and spectral theory of hypermatrices.

Presenter Profile Page(s)

https://nova.elsevierpure.com/en/persons/vehbi-paksoy?_aiid=12167

Date of Event

Thursday October 24, 2024

Location

Parker Building 338

Included in

Mathematics Commons

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Oct 24th, 12:30 PM Oct 24th, 1:15 PM

Group Representations & Quantum Theory

Parker Building 338

What is the common thing between some integers and symmetries of an equilateral triangle? How studying rotations on a circle helps us understand quantum mechanics? Groups and their representations provide an amazing framework for many physics and chemistry theories. Understanding how certain groups act on physical systems, both classical and quantum, helps us to build models and make predictions. In this talk, we discover how abstract mathematical notions such as groups and representation theory and counterintuitive nature of quantum mechanics come together to guide us in our journey to explore the world we live in. This talk is designed to be accessible to any person with some understanding of calculus and a little bit of linear algebra.