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Computing knot Floer homology

GAUGE-TOPOLOGY-SYMPLECTIC

March 1, 2019      3:30 pm
Speaker: Peter Ozsváth - Princeton

Abstract: I will explain how to use bordered Floer homology to obtain a practical, algebraic computation of knot Floer homology. This is joint work with Zoltán Szabó.
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Instanton L-space knots

GAUGE-TOPOLOGY-SYMPLECTIC

February 22, 2019      3:30 pm
Speaker: John Baldwin - Boston College

Abstract: A 3-manifold is said to be SU(2)-abelian if all homomorphisms from its fundamental group to SU(2) factor through the first homology of the manifold. Understanding which manifolds are SU(2)-abelian...
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Algebraic methods in knot Floer homology

GAUGE-TOPOLOGY-SYMPLECTIC

February 1, 2019      3:30 pm
Speaker: Zoltán Szabó - Princeton

Abstract: The aim of this talk is to present an algebraic description of knot Floer homology, discovered in a joint work with Peter Ozsváth.
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Irreducible SL(2,C)-representations of homology-3-spheres

GAUGE-TOPOLOGY-SYMPLECTIC

December 7, 2018      3:30 pm
Speaker: Raphael Zentner - Regensburg

Abstract: We prove that the splicing of any two non-trivial knots in the 3-sphere admits an irreducible SU(2)-representation of its fundamental group. This uses instanton gauge theory, and in particular...
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Structural results in wrapped Floer theory

GAUGE-TOPOLOGY-SYMPLECTIC

November 30, 2018      3:30 pm
Speaker: John Pardon - Princeton

Abstract: I will discuss results relating different partially wrapped Fukaya categories. These include a Kunneth formula, a 'stop removal' result relating partially wrapped Fukaya categories relative to different stops, and...
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A formalism for Floer theory with coefficients

GAUGE-TOPOLOGY-SYMPLECTIC

November 9, 2018      3:30 pm
Speaker: Mohammed Abouzaid - Columbia

Abstract: I will discuss a formalism for defining (Lagrangian) Floer homology with coefficients which is a little more abstract than has been used so far in the literature, and is...
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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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