Arithmetic Aspects of Deformation Theory

ag.algebraic-geometry nt.number-theory rt.representation-theory
Start Date
2021-07-18 
End Date
2021-07-23 
Institution
Banff International Research Station 
City
Banff, AB 
Country
Canada 
Meeting Type
conference 
Homepage
https://www.birs.ca/events/2021/5-day-workshops/21w5131 
Contact Name
 

Description

One focus of modern number theory is to study symmetries of numbers that are roots of polynomial equations. Collections of such symmetries are called Galois groups, and they often encode interesting arithmetical information. The theory of Galois representations provides a way to understand these Galois groups and in particular, how they interact with other areas of mathematics. This workshop will investigate how these Galois representations can be put together into families, and search for new arithmetic applications of these families.

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