This page contains some preliminary information for the working groups planned for the workshop "Number Field Counting in the LMFDB". The workshop's main page is here: https://icerm.brown.edu/program/topical_workshop/tw-26-nfc#section-3. The below dropdown menus cotnain information for each of the planned working groups, including the name of the group leader, short blurbs describing the goals of the group, and some relevant papers. As the workshop moves forward some of these goals may change, but you can use the information on this page to get an idea where each group will start!
Description of working group: blurb
Some relevant papers:
Counterexamples for Türkelli's Modification on Malle's Conjecture by Jiuya Wang, arxiv link
Description of working group: blurb
Some relevant papers:
Malle's conjecture and Brauer groups of stacks by Daniel Loughran and Tim Santen, arxiv link
The leading constant in Malle's conjecture by Daniel Loughran and Tim Santen, arxiv link
Description of working group: blurb
Some relevant papers:
Malle's conjecture and Brauer groups of stacks by Daniel Loughran and Tim Santen, arxiv link
The leading constant in Malle's conjecture by Daniel Loughran and Tim Santen, arxiv link
Description of working group: coming soon
Workshop notes: draft notes
Some relevant papers:
Uniform exponent bounds on the number of primitive extensions of number fields by Robert Lemke Oliver, arxiv link
Description of working group: blurb
Some relevant papers:
Inductive methods for counting number fields by Brandon Alberts, Robert Lemke Oliver, Jiuya Wang, and Melanie Matchett Wood, arxiv link
Description of working group: blurb
Expository note on the correspondence between convex domains and inertial invariants: expository note
Some relevant papers:
Inductive methods for counting number fields by Brandon Alberts, Robert Lemke Oliver, Jiuya Wang, and Melanie Matchett Wood, arxiv link
Counting number fields using multiple Dirichlet series by Brandon Alberts and Alina Bucur, arxiv link