ELI5: Explain Like I'm 5

Symplectic category

Okay kiddo, let's talk about symplectic category.

Imagine that you have a toy room with lots of toys in it. Some of these toys are very special because you can play with them in a special way so that they stay the same after you play with them.

This is kind of like how symplectic geometry works. It's a special type of geometry that looks at how things change when you move them around. But not all movements are special - only the ones that don't change the underlying structure of the object.

A symplectic category is a special type of category in mathematics where different objects - like the toys in your toy room - can be moved around without changing the underlying structure of the category.

Just like you can move your toys around but they stay the same, mathematicians can move objects in a symplectic category around without changing the overall structure of the category. It's a cool way of thinking about math and geometry!
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