DIFFERENTIAL GEOMETRY
February 25, 2020 4:15 pmLet $M$ be a complete Ricci-flat manifold with Euclidean volume growth. A theorem of Colding-Minicozzi states that if a tangent cone at infinity of $M$ is smooth, then it is...
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DIFFERENTIAL GEOMETRY
February 18, 2020 4:15 pmIn 2008, Christodoulou achieved a major breakthrough in the context of mathematical general relativity in being able to form trapped surfaces dynamically from initial data for the Einstein vacuum system....
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DIFFERENTIAL GEOMETRY
February 11, 2020 4:15 pmIn this talk, we discuss how to derive the equivariant SYZ mirror of toric manifolds by counting holomorphic discs. In the case of (semi-)Fano toric manifolds, those mirrors recover Givental's...
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DIFFERENTIAL GEOMETRY
February 4, 2020 4:15 pm**CANCELED** Most 4-manifolds do not admit symplectic forms, but most admit 2-forms that are "nearly" symplectic. Just like the Seiberg-Witten (SW) invariants, there are Gromov invariants that are compatible with...
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DIFFERENTIAL GEOMETRY
November 26, 2019 4:15 pmIn the last 35 years, geometric flows have proven to be a powerful tool in geometry and topology. The Mean Curvature Flow is, in many ways, the most natural flow...
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DIFFERENTIAL GEOMETRY
November 12, 2019 4:15 pmThe Strominger-Yau-Zaslow conjecture predicts the existence of special Lagrangians fibration in Calabi-Yau manifolds near large complex structure limit. The SYZ conjecture has been an important guiding principle for mirror symmetry...
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DIFFERENTIAL GEOMETRY
November 5, 2019 4:15 pmThe Gauss curvature flow was introduced to model the shape of worn stones. It is a parabolic Monge-Ampere type flow for convex hypersurfaces, involving regularity issues for fully nonlinear equations...
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