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1:01:27
YouTube
Algebraic Geometry at Stanford
Tony Feng (May 20, 2022): Enumerative arithmetic geometry and automorphic forms
The problem of counting vectors with given length in a lattice turns out to have much more structure than initially expected, and is connected with the theory of so-called automorphic forms. A geometric analogue of this problem is to count global sections of vector bundles on a curve over a finite field. The generating functions for such counts ...
989 views
May 21, 2022
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Fake Editor on Instagram: "real Mirror symmetry arose in the late 1980s as an astonishing duality in string theory: two topologically distinct Calabi–Yau manifolds, X and Y, yield equivalent physics when used as compactification spaces for type IIA and type IIB strings respectively. Exchanging their Hodge numbers h^{1,1}(X)=h^{2,1}(Y) and h^{2,1}(X)=h^{1,1}(Y) predicts deep enumerative identities beyond classical geometry, suggesting that complex- and Kähler-moduli spaces are “mirrors” of one an
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