### Embeddings of lens spaces and rational homology balls in complex projective space

- Series
- Geometry Topology Working Seminar
- Time
- Friday, September 23, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Agniva Roy – Georgia Tech

Given a symplectic 4 manifold and a contact 3 manifold, it is natural to ask whether the latter embeds in the former as a contact type hypersurface. We explore this question for CP^2 and lens spaces. In this talk, we will consider the background necessary for an approach to this problem. Specifically, we will survey some essential notions and terminology related to low-dimensional contact and symplectic topology. These will involve Dehn surgery, tightness, overtwistedness, concave and convex symplectic fillings, and open book decompositions. We will also look at some results about these and mention some research trends.