Document Type

Presentation

Location

Bryant Hall 209

Start Date

20-5-2019 4:00 PM

End Date

20-5-2019 5:00 PM

Description

This talk will present an effective Chebotarev theorem that holds for all but a possible zero-density subfamily of certain families of number fields of fixed degree. For certain families, this work is unconditional, and in other cases it is conditional on the strong Artin conjecture and certain conjectures on counting number fields. As an application, we obtain nontrivial average upper bounds on ℓ-torsion in the class groups of the families of fields.

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May 20th, 4:00 PM May 20th, 5:00 PM

An effective Chebotarev density theorem for families of fields, with an application to class groups

Bryant Hall 209

This talk will present an effective Chebotarev theorem that holds for all but a possible zero-density subfamily of certain families of number fields of fixed degree. For certain families, this work is unconditional, and in other cases it is conditional on the strong Artin conjecture and certain conjectures on counting number fields. As an application, we obtain nontrivial average upper bounds on ℓ-torsion in the class groups of the families of fields.