**Title:** Equivariant String Topology

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** Constantin Teleman, UC Berkeley

**Date:** Friday, April 24, 2015

**Time:** 10:00am – 11:30pm

**Place:** Seminar Room 313, Simons Center

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**Abstract:** I will discuss the homological algebra of 2-dimensional gauge theory, with String Topology as an example. Calculations there are possible by rational homotopy techniques. The role of the (rationalized) classifying space BG is assumed by a hyper-Kaehler space of double the size, the so-called `space of vacua’ for pure 3-dimensional gauge theory.

**Title:** Bordism categories and Madsen-Tillman spectra

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** Soren Galatius, Stanford

**Date:** Friday, April 17, 2015

**Time:** 11:30am – 01:00pm

**Place:** Seminar Room 313, Simons Center

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**Abstract:** This is a survey talk about the Madsen-Tillmann spectra MTO(d) and their relationship to bordism categories. Like MO they are Thom spectra, but taylored to manifolds of one particular dimension d.

**Title:** Lagrangian tori and mirror symmetry

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** Daniel Pomerleano, Imperial College London

**Date:** Thursday, April 16, 2015

**Time:** 02:00pm – 03:30pm

**Place:** Seminar Room 313, Simons Center

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**Abstract:** We will review examples of mirror symmetry based on Lagrangian tori, illustrating how non-isotopic tori lead to different charts on the mirror manifold, following work of Denis Auroux.

**Title:** A Further Look at Verdier Duality

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** John Morgan

**Date:** Friday, March 27, 2015

**Time:** 10:00am – 11:30am

**Place:** Seminar Room 313, Simons Center

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**Abstract:** We examine Verdier duality for locally compact spaces of finite cohomological dimension.We give some explicit examples of the dualizing sheaf. We show that this duality is is exact and preserves quasi-isomorphism and that a complex of sheaves is naturally identified with its double dual.

After this discussion we will begin to construct stratified spaces with complexes of sheaves isomorphic to their Verdier duals.

]]>**Title:** A Further Look at Verdier Duality

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** John Morgan

**Date:** Friday, March 20, 2015

**Time:** 10:00am – 11:30am

**Place:** Seminar Room 313, Simons Center

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[/box]

**Abstract:** We examine Verdier duality for locally compact spaces of finite cohomological dimension.We give some explicit examples of the dualizing sheaf. We show that this duality is is exact and preserves quasi-isomorphism and that a complex of sheaves is naturally identified with its double dual.

After this discussion we will begin to construct stratified spaces with complexes of sheaves isomorphic to their Verdier duals.

]]>**Title:** A Further Look at Verdier Duality

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** John Morgan

**Date:** Friday, March 13, 2015

**Time:** 10:00am – 11:30am

**Place:** Lecture Hall 102, Simons Center

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[/box]

**Abstract:** We examine Verdier duality for locally compact spaces of finite cohomological dimension.We give some explicit examples of the dualizing sheaf. We show that this duality is is exact and preserves quasi-isomorphism and that a complex of sheaves is naturally identified with its double dual.

After this discussion we will begin to construct stratified spaces with complexes of sheaves isomorphic to their Verdier duals.

]]>**Title:** A Further Look at Verdier Duality

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** John Morgan

**Date:** Friday, March 06, 2015

**Time:** 02:45pm – 04:15pm

**Place:** Seminar Room 313, Simons Center

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[/box]

**Abstract:** We examine Verdier duality for locally compact spaces of finite cohomological dimension.We give some explicit examples of the dualizing sheaf. We show that this duality is is exact and preserves quasi-isomorphism and that a complex of sheaves is naturally identified with its double dual.

**Title:** A Further Look at Verdier Duality

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** John Morgan

**Date:** Friday, February 20, 2015

**Time:** 02:45pm – 04:15pm

**Place:** Seminar Room 313, Simons Center

[box, type=”download”]Watch the Video.

[/box]

**Abstract:** We examine Verdier duality for locally compact spaces of finite cohomological dimension.We give some explicit examples of the dualizing sheaf. We show that this duality is is exact and preserves quasi-isomorphism and that a complex of sheaves is naturally identified with its double dual.

**Title:** A Further Look at Verdier Duality

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** John Morgan

**Date:** Friday, February 13, 2015

**Time:** 12:30pm – 02:00pm

**Place:** Seminar Room 313, Simons Center

[box, type=”download”]Watch the Video.

[/box]

**Abstract:** We examine Verdier duality for locally compact spaces of finite cohomological dimension.We give some explicit examples of the dualizing sheaf. We show that this duality is is exact and preserves quasi-isomorphism and that a complex of sheaves is naturally identified with its double dual.

**Title:** A Further Look at Verdier Duality

**Program Website:** Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry

**Speaker:** John Morgan

**Date:** Friday, February 6, 2015

**Time:** 02:45pm – 04:15pm

**Place:** Seminar Room 313, Simons Center

[box, type=”download”]Watch the Video.

[/box]

**Abstract:** We examine Verdier duality for locally compact spaces of finite cohomological dimension.We give some explicit examples of the dualizing sheaf. We show that this duality is is exact and preserves quasi-isomorphism and that a complex of sheaves is naturally identified with its double dual.