GAUGE-TOPOLOGY-SYMPLECTIC
March 8, 2019 3:30 pmAbstract: Castelnuovo’s bound is a very classical result in algebraic geometry. It asserts a sharp bound on the genus of a curve of degree d in n-dimensional projective space. It...
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GAUGE-TOPOLOGY-SYMPLECTIC
March 1, 2019 3:30 pmAbstract: 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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GAUGE-TOPOLOGY-SYMPLECTIC
February 22, 2019 3:30 pmAbstract: 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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GAUGE-TOPOLOGY-SYMPLECTIC
February 15, 2019 3:30 pmAbstract: In joint work with Matic, Van Horn-Morris, and Wand, we seek an answer to this question. We define a refinement of the contact invariant in Heegaard Floer homology that...
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GAUGE-TOPOLOGY-SYMPLECTIC
February 1, 2019 3:30 pmAbstract: 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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GAUGE-TOPOLOGY-SYMPLECTIC
December 7, 2018 3:30 pmAbstract: 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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GAUGE-TOPOLOGY-SYMPLECTIC
November 30, 2018 3:30 pmAbstract: 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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GAUGE-TOPOLOGY-SYMPLECTIC
November 9, 2018 3:30 pmAbstract: 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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GAUGE-TOPOLOGY-SYMPLECTIC
November 2, 2018 3:30 pmAbstract: 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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GAUGE-TOPOLOGY-SYMPLECTIC
October 26, 2018 3:30 pmAbstract: 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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