Bi-College Math Colloquium

Monday, February 27, 2023 - 4:00pm

Ipsita Datta

Institute for Advanced Study

We will introduce symplectic vector spaces and symplectic manifolds and discuss examples. Symplectic manifolds are even dimensional manifolds with a symplectic form, which is a nice generalization of an area form. We will then look at my favourite type of submanifold - Lagrangian submanifolds. Then we will try to understand why symplectic geometry is interesting by discussing some history and some statements of famous theorems and conjectures like Gromov Non-squeezing.