Faltings Heights and the Tian-Yau-Donaldson Conjecture

Thursday, November 14, 2019 - 3:30pm
MSB 111
Sean Paul (University of Wisconsin, Madison)


Let (X,L) be a polarized manifold. Assume that the automorphism group of (X,L) is finite. If the height discrepancy of (X,L) is O(d^2) then (X,L) admits a constant scalar curvature metric in the first Chern class of L if and only if (X,L) is asymptotically stable. 

The talk will be accessible to a general audience of mathematicians, the emphasis will be on simply defining precisely the main objects involved: canonical metrics on Kahler Manifolds, the Mabuchi energy, and the speaker version of Gang Tian's concept of K-Stability.

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