Speaker:   Chris Gerig 
Title:   Introductory ECH and cobordism map difficulties Part 1
Abstract:   In these two lectures I will introduce Embedded Contact Homology, a useful Floer theory for contact 3-manifolds, obtained by counting pseudoholomorphic curves and Reeb orbits. ECH is known to be isomorphic to versions of monopole Floer homology, and can be used to probe both the topology of 3-manifolds and dynamics of contact forms. After further explaining its properties, I will discuss the issues with building "ECH cobordism maps" induced from symplectic 4-manifolds with contact boundary, and potential/known resolutions in special cases. Some foundations of ECH rely on its isomorphism with monopole Floer homology, but it would be useful to have a direct construction inherent to pseudoholomorphic geometry.

To watch please visit scgp.stonybrook.edu/live

Speaker:   Chris Gerig 
Title:   Introductory ECH and cobordism map difficulties Part 1
Abstract:   In these two lectures I will introduce Embedded Contact Homology, a useful Floer theory for contact 3-manifolds, obtained by counting pseudoholomorphic curves and Reeb orbits. ECH is known to be isomorphic to versions of monopole Floer homology, and can be used to probe both the topology of 3-manifolds and dynamics of contact forms. After further explaining its properties, I will discuss the issues with building "ECH cobordism maps" induced from symplectic 4-manifolds with contact boundary, and potential/known resolutions in special cases. Some foundations of ECH rely on its isomorphism with monopole Floer homology, but it would be useful to have a direct construction inherent to pseudoholomorphic geometry.

To watch please visit scgp.stonybrook.edu/live

Speaker:   Amos Yarom
Title:   Stochastic gravity and turbulence
Abstract:  
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