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Monodromy of Kodaira fibrations

GAUGE-TOPOLOGY-SYMPLECTIC

November 2, 2018      3:30 pm
Speaker: Laure Flapan - Northeastern

Abstract: A long-standing question in studying the topology of complex algebraic varieties is the question of what groups can occur as the fundamental group of a smooth projective variety. One...
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Equivariant symplectic capacities

GAUGE-TOPOLOGY-SYMPLECTIC

October 26, 2018      3:30 pm
Speaker: Michael Hutchings - Berkeley

Abstract: We define a sequence of symplectic capacities using positive S^1-equivariant symplectic homology. These capacities are conjecturally equal to the Ekeland-Hofer capacities. However they satisfy axioms which allow them to...
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Harmonic Z/2 spinors and wall-crossing in Seiberg-Witten theory

GAUGE-TOPOLOGY-SYMPLECTIC

October 19, 2018      3:30 pm
Speaker: Aleksander Doan - Stony Brook

Abstract: The notion of a harmonic Z/2 spinor was introduced by Taubes as an abstraction of various limiting objects appearing in compactifications of gauge-theoretic moduli spaces. I will explain this...
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Lojasiewicz inequalities and Morse-Bott functions

GAUGE-TOPOLOGY-SYMPLECTIC

October 12, 2018      3:30 pm
Speaker: Paul Feehan - Rutgers

Abstract: The Lojasiewicz gradient and distance inequalities for real analytic functions on Euclidean space were first proved by Stanislaw Lojasiewicz (1965) using methods of semianalytic and subanalytic sets, arguments later...
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From smooth to almost complex

GAUGE-TOPOLOGY-SYMPLECTIC

September 21, 2018      3:30 pm
Speaker: Weiyi Zhang - Warwick

Abstract: An almost complex manifold is a smooth manifold equipped with a smooth linear complex structure on each tangent space. We will discuss differential topology of almost complex manifolds, explain...
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An invitation to homological mirror symmetry

GAUGE-TOPOLOGY-SYMPLECTIC

September 14, 2018      3:30 pm
Speaker: Denis Auroux - Harvard

Abstract: We will give a gentle introduction to some recent developments in the area of homological mirror symmetry. We will use simple examples to illustrate Kontsevich's conjecture and its extension...
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