黑料网

Title: Splitting central simple algebras by genus 1 curves

Abstract: I will discuss the following question independently posed by Clark and Saltman around 2007: Given a central simple algebra A over a field F, is there a a genus 1 curve X over F such that A is split by the function field F(X)? Federico Scavia and I recently showed that the answer is "no" in general. I plan to cover some background material on central simple algebras, motivate the question, and explain the strategy of our proof.

Location: UQAM PK-5675