Maxim Kontsevich: What is tropical mathematics? [2013]

Описание к видео Maxim Kontsevich: What is tropical mathematics? [2013]

Slides for this talk:
https://drive.google.com/file/d/1BxaD...


Maxim Kontsevich
October 15, 2013

What is tropical mathematics?

In tropical mathematics the usual laws of algebra are changed, the subtraction is forbidden, the division is always permitted, and 1+1 is equal to 1. Analogs of usual geometric shapes like lines, circles etc. are replaced by new figures composed of pieces of lines. I will try to explain basics of tropical algebra and geometry, its relation with more traditional domains, and its role in mirror symmetry which is a remarkable duality originally discovered in string theory about 20 years ago.


http://www.fields.utoronto.ca/program...

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