Thursday, July 23, 2026 - 16:00 in V2-210/216
On the Manin-Mumford conjecture
A talk in the Mathematisches Kolloquium series by
Damian Rössler from University of Oxford
| Abstract: |
The Manin-Mumford conjecture (MMC) asserts that a subvariety of general type of an abelian variety (=an algebraic torus over the complex numbers) cannot meet points of finite order in a Zariski dense set. The MMC was first proven by M. Raynaud in the early 1980s using p-adic arguments. In the twenty years following Raynaud’s proof, many other proofs of MMC were discovered, which were based on
different methods. We shall give an overview of the mathematics entering these proofs, and also outline a short and elementary proof of MMC that was discovered by R. Pink and the speaker in 2001. This proof of MMC is a simplification of a proof given by E. Hrushovski, which is itself based on model theoretic methods (in mathematical logic).
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