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A topological approach to convexity in complex surfaces

GAUGE-TOPOLOGY-SYMPLECTIC

March 6, 2020      3:30 pm
Speaker: Bob Gompf - UT Austin

We will discuss the classical notion of J-convexity of subsets of complex manifolds, and the closely related notion of Stein manifolds. The theory is particularly subtle in complex dimension 2. Surprisingly, progress...
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Knotted 3-balls in the 4-sphere

GAUGE-TOPOLOGY-SYMPLECTIC

February 28, 2020      3:30 pm
Speaker: David Gabai - Princeton University

We give the first examples of codimension-1 knotting in the 4-sphere, i.e. there is a 3-ball B_1 with boundary the standard linear 2-sphere, which is not isotopic rel boundary to...
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Viterbo transfer as localization

GAUGE-TOPOLOGY-SYMPLECTIC

February 7, 2020      3:30 pm
Speaker: Zack Sylvan - Columbia University

I'll discuss the Viterbo transfer functor from the (partially) wrapped Fukaya category of a Liouville domain to that of a subdomain. It is a localization when everything in sight is...
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Symplectic embeddings, integrable systems and billiards

GAUGE-TOPOLOGY-SYMPLECTIC

January 31, 2020      3:30 pm
Speaker: Vinicius Ramos - IMPA - Brazil

Symplectic embedding problems are at the core of symplectic topology. Many results have been found involving balls, ellipsoids and polydisks. More recently, there has been progress on problems involving lagrangian...
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TBA

GAUGE-TOPOLOGY-SYMPLECTIC

December 6, 2019      3:30 pm
Speaker: Song Sun - Berkeley

Abstract: TBA
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Singular Hermitian-Yang-Mills connections and reflexive sheaves

GAUGE-TOPOLOGY-SYMPLECTIC

December 6, 2019      3:30 pm
Speaker: Song Sun - Berkeley

The Donaldson-Uhlenbeck-Yau theorem relates the existence of Hermitian-Yang-Mills connections over a compact Kahler manifold with algebraic stability of a holomorphic vector bundle. This has been extended by Bando-Siu in 1994 to a class...
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TBA

GAUGE-TOPOLOGY-SYMPLECTIC

November 15, 2019      3:30 pm
Speaker: Dan Cristofaro-Gardiner - Santa Cruz

Abstract: TBA
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TBA

GAUGE-TOPOLOGY-SYMPLECTIC

November 8, 2019      3:30 pm
Speaker: Lisa Piccirillo - Brandeis+MIT

Abstract: TBA
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TBA

GAUGE-TOPOLOGY-SYMPLECTIC

November 1, 2019      3:30 pm
Speaker: Ko Honda - UCLA

Abstract: TBA
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