Seminar of Algebra

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A brief history of Algebraic K-Theory

Speaker:
Ian Coley (University of California - Los Ángeles)
Email:
iacoley@math.ucla.edu
Location:
Departamento de Álgebra
Date:
Wed, 4 jul 2018 12:30
Bio:
Ian Coley is a Ph.D. Candidate in Mathematics at UCLA

The general method of K-theory is to take a complicated object and associate some simpler data to it, such that you can understand enough from the simple data alone. A straightforward idea which originated in the 1950's has since exploded into many different flavours in disparate fields of mathematics, including differential geometry, representation theory, and non-commutative algebra. I will discuss the development of (higher) algebraic K-theory with an aim at the current state of the art, hopefully culminating in current projects and challenges in the field.