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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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“Exotic 3D topologically ordered states”

MATHEMATICAL PICTURE LANGUAGE

January 7, 2020      3:30 pm
Speaker: Jin-Long Huang - University of California at San Diego

In the search for finite temperature quantum memory, people have found an exotic 3D topological model, called the fracton model. A large class of them are known to have foliation...
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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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Communication Complexity of Randomness Manipulation

CMSA EVENTS

November 25, 2019      4:30 pm
Speaker: Madhu Sudan - Harvard University

The task of manipulating randomness has been a subject of intense investigation in the theory of computer science. The classical definition of this task consider a single processor massaging random...
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From Quantum Field Theory to Geometric Representation Theory

CMSA GENERAL RELATIVITY SEMINAR

November 25, 2019      3:00 pm
Speaker: Philsang Yoo - Yale University

Quantum Field Theory is a framework of fundamental physics, which in particular has played important roles in the modern development of various subjects in mathematics, including enumerative geometry, knot theory,...
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