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Your Brain as Math - Part 1 | Infinite Series

2017-08-22

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What does your brain look like when it's broken down mathematically? And what can this tell us? This is Part 1 in our Your Brain as Math mini-series.

Check out Part 2 here: /youtube/video/rlI1KOo1gp4

Check out Part 3 here: /youtube/video/akgU8nRNIp0

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Previous Episode

Stochastic Supertasks

/youtube/video/Sdp_V0L99sw

In order to dive deeper into an exciting topic, we're mixing up the format. Over the next three days, we’ll spend the next three episodes exploring an incredible application of seemingly purely-abstract mathematics: how algebraic topology can help us decode the connections among neurons in our brains, to help us understand their function.

Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Assistant Editing and Sound Design by Mike Petrow

Made by Kornhaber Brown (www.kornhaberbrown.com)

Resources:

Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function

http://journal.frontiersin.org/article/10.3389/fncom.2017.00048/full

The Blue Brain Project

http://bluebrain.epfl.ch/

Barcodes: The Persistent Topology of Data

https://www.math.upenn.edu/~ghrist/preprints/barcodes.pdf

Network Neuroscience

http://www.nature.com/neuro/journal/v20/n3/full/nn.4502.html

Algebraic Topology

https://www.math.cornell.edu/~hatcher/AT/ATpage.html

Special thanks to Kathryn Hess and Florian Frick!

Comments answered by Kelsey:

Vriskanon

/youtube/video/Sdp_V0L99sw&lc=z22ic1ehnlqhi3g4g04t1aokgo4wjichzrqe5sqovhw4rk0h00410

Challenge Winner : Florence B

Special thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level!

And thanks to Mauricio Pacheco who is supporting us at the Lemma level!


Stochastic Supertasks | Infinite Series by PBS Infinite Series
/youtube/video/Sdp_V0L99sw
PBS Infinite Series Mathematician Tai-Danae Bradley and physicist Gabe Perez-Giz offer ambitious content for viewers that are eager to attain a greater understanding of the world around them. Math is pervasive - a robust yet precise language - and with each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe. Previous host Kelsey Houston-Edwards is currently working on her Ph.D. in mathematics at Cornell University.
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Simplicial Complexes - Your Brain as Math Part 2 | Infinite Series 129,569 views
/youtube/video/rlI1KOo1gp4