AbstractThe Deligne-Simpson problem asks for the existence of meromorphic G-connections withprescribed local behavior at the poles. l will explain joint work with Zhiwei Yun in which we give asolution to this problem for G-connections on P^1 with two poles, one of which is regular singularwith residue in a fixed nilpotent orbit, the other of which is irregular and satisfies a condition that wec...
AbstractIn this talk, I shall explain a torsion theorem to the effect that the unique zero of the Kodaira-Spencer map attached to a certain quasi-semistable family of complex projective varieties over the complex projective line is the image of a torsion point of an elliptic curve under the natural projection. The proof is a mod $p$ argument and requires a density one set of primes. Three are t...
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