"What is Symplectic Geometry" | Department of Mathematics

Bi-College Math Colloquium

Monday, February 27, 2023 - 4:00pm

Ipsita Datta

Institute for Advanced Study

Location

Haverford College

Hilles 109

Tea will be served at 3:30 p.m. in the foyer outside of Hilles 109.

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.

"What is Symplectic Geometry"

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How to get to Penn's Mathematics Department

The Mathematics Department Office is located on the fourth (top) floor of David Rittenhouse Laboratory ("DRL"). The building is at 209 South 33rd Street (the Southeast corner of 33rd. and Walnut Streets). Note 33rd Street runs one way north while Walnut runs one way west.

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SEPTA [Skookul]
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We are about a 15 minute walk from the main 30th Street Station and 5 minutes from the University City Rail Station at 32nd and Spruce (=South Street & Convention Avenue). Coming from the airport by train (about 15 minutes): the University City Rail Station is the second stop after you leave the airport.

If you drive, the most convenient public parking is in the pay lot whose entrance is on 34th Street between Market and Chestnut Streets.