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Research Seminars: Geometry and Topology


Fall 2016

Time & Location: All talks are on Tuesdays in Gibson 310 at 12:30 PM unless otherwise noted.
Organizer: Slawomir Kwasik


September 6

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September 13

Manifolds with the Fixed Point Property and Their Squares


Slawomir Kwasik - Tulane University

Abstract: TBA


September 20

Introduction to Smith Homology


Fang Sun - Tulane University

Abstract: TBA


Thursday, October 6

Surgeries on four-dimensional Hamiltonian systems with S1 symmetry

Margaret Symington - Mercer University

Abstract:

Blowing up and down are fundamental surgeries in symplectic geome- try. In dimension four, equivariant blow-ups of symplectic four-manifolds equipped with a T2-action or an S1-action are well understood. It is less clear how to perform these operations while preserving the structure of a manifold with an S1 R-action. In this talk I will describe a class of com-pletely integrable Hamiltonian systems with two degrees of freedom that are \nice" enough for study via surgeries and then explain the topology, sym-plectic geometry and the Hamiltonian aspects of two types of surgeries in this setting: nodal trades and blowing up or down.

Location: Tilton Hall 305

Time:  12:30


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Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu