Mallory Dolorfino, University of Washington
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PDL C-401
What is a solvable point, why do we care about them, and when should (or shouldn't) a variety have many of them? This talk will be a friendly introduction to solvable points on varieties, intended for a broad audience, in which we will answer each question above. In doing so, we will introduce the guiding principle of arithmetic geometry -- that interesting arithmetic occurs for a geometric reason -- and we will see an example of this in the case of studying solvable points on curves.