We continue to expand our social media presence with YouTube shorts being the latest addition. These one-minute (or less) films will often act as a taster for the longer public and students lectures that are already on the Channel, but we will also include the short films that go on other social media platforms. We have 395,000 YouTube followers. Got to keep them mathematically fed.
In case you haven't seen him, here is Professor Pointyhead.
16:00
The leading constant in Malle's conjecture
Abstract
A conjecture of Malle predicts an asymptotic formula for the number of number fields with given Galois group and bounded discriminant. Malle conjectured the shape of the formula but not the leading constant. We present a new conjecture on the leading constant motivated by a version for algebraic stacks of Peyre's constant from Manin's conjecture. This is joint work with Tim Santens.
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