Field Arithmetic and Complexity of Algebraic structures - Danny Krashen
Channel: IAS | Park City Mathematics Institute | PCMI
Date: 13/07/2021

Field arithmetic and the complexity of algebraic objects - Daniel Krashen 
2021 Graduate Summer School

Topic: Field arithmetic and the complexity of algebraic objects
Speaker: Daniel Krashen 
Affiliation: Rutgers University
Date: July 12, 2021


Abstract
A fundamental question in field arithmetic is how one can bound, in various senses, the complexity of algebraic objects such as algebras, quadratic forms, or cohomology classes. This question is intimately related to notions of essential dimension, symbol length, and also to the construction of generic splitting varieties. In these talks, I will describe some of the principal questions of this sort, and various methods by which they have been approached.


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