https://www.youtube.com/watch?v=n2s1-RHuljo
"In this video lecture, Neil deGrasse Tyson, America's most noted astrophysicist, describes the Twins Paradox, a hypothetical scenario in which high-speed travel slows down the aging of one twin, while the other twin ages at a normal rate."

Tyson is lying of course (or is silly). This is not a conclusion that validly follows from the postulates of Einstein's special relativity. The valid conclusion is:

High-speed travel SPEEDS UP the aging of one twin, as he compares the rate of his clock (or his aging) with the rate of the clock (or aging) of his stationary brother.

Here is the valid conclusion:

http://www.people.fas.harvard.edu/~djmorin/chap11.pdf
David Morin, Introduction to Classical Mechanics With Problems and Solutions, Cambridge University Press, Chapter 11, p. 14: "Example (Twin paradox): Twin A stays on the earth, while twin B flies quickly to a distant star and back. (...) For the entire outward and return parts of the trip, B does observe A's clock running slow..."

http://sciliterature.50webs.com/Dialog.htm
Albert Einstein: "During the partial processes 2 and 4 [the outward and return parts of the trip] the clock U1, going at a velocity v, runs indeed at a slower pace than the resting clock U2." x

Note: In Einstein's paper U2 is actually the travelling clock and U1 is the resting one, but since in the above quotation things are judged from the traveller's reference frame, U1 is said to be "going at a velocity v" while U2 is called "resting". x

Pentcho Valev