GT Seminar with Georgios Dimitroglou Rizell (Uppsala university)
- Date: 11 May 2023, 13:15–14:15
- Location: Ångström Laboratory, room Å64119 and on zoom https://uu-se.zoom.us/j/68210068219
- Type: Seminar
- Lecturer: Georgios Dimitroglou Rizell (Uppsala university)
- Organiser: Matematiska institutionen
- Contact person: Noémie Legout
Welcome to this seminar held by Georgios Dimitroglou Rizell with title "A relative Calabi-Yau structure for Legendrian contact homology and applications to the augmentation variety".
Abstract: We show how Sabloff duality in linearized Legendrian contact homology can be generalised to a relative Calabi-Yau structure of the Legendrian contact homology DGA, as defined by Brav and Dyckerhoff. We also discuss the generalised notion of the fundamental class and give applications, including constraints on the dimension of the augmentation variety. The structure is established through the acyclicity of a version of Rabinowitz Floer Homology for Legendrian submanifolds with coefficients in the Chekanov-Eliashberg DGA. This is joint work in progress with Legout.
See upcoming seminars in our seminar series on Geometry and Topology (GT).