avatarSumon Basak

Summary

At the 2014 Fields Medal ceremony, a real-life combinatorial problem arose when medals were mistakenly distributed among the four recipients, which was resolved through a series of exchanges.

Abstract

The 2014 Fields Medal ceremony unexpectedly turned into a practical math problem when the medals were handed out incorrectly to the four laureates: Maryam Mirzakhani, Manjul Vargava, Artur Avila, and Martin Hairer. The medals, which are akin to the Nobel prize in prestige, were distributed randomly by mistake, leading to a situation where each recipient had someone else's medal. Despite the busy schedule of the awardees with press appearances, the problem was cleverly solved through a calculated series of exchanges. The mathematicians involved, including Prof. Bhargava, found the random mix-up to be an improbable occurrence. The solution unfolded as Maryam Mirzakhani first encountered Manjul Vargava, allowing them to swap medals, followed by subsequent exchanges until each had the correct medal by the end of the evening.

Opinions

  • The random distribution of medals was considered an "unlikely scenario" even in a random distribution by Prof. Bhargava.
  • The situation was perceived as a real-life combinatorial problem by the mathematicians present.
  • The problem was approached and solved mathematically, showcasing the practical application of combinatorial mathematics.

A Practical Math Problem

2014 Fields Medal ceremony faced a real-life combinatorial math problem.

Photo by Jeswin Thomas on Unsplash

You may have heard about the combinatorial problems & that happened in the 2014 Fields medal ceremony.

Wondering what the problem is?

If you have 4 candies to distribute among 4 people, how many ways can you do that?

That year, 4 people were recipients of the prize.

Maryam Mirzakhani, Stanford University.

Manjul Vargava, Princeton University.

Artur Avila, IPAM.

Martin Hairer, University of Warwick.

The Fields medal is awarded once in 4 years & is equivalent to the Nobel prize (if not more prestigious).

Neither of these 4 mathematicians knew that their names were engraved in their medals.

Medals were distributed randomly by mistake.

Manjul had Martin’s, Martin had Maryam’s, Maryam had Artur’s & Artur had Manjul’s.

Prof. Bhargava said, ‘an unlikely scenario even if the medals were distributed randomly.’

All busy with press appearances & 4 people meet-up wasn’t possible that evening.

They had a real-life combinatorial problem to solve.

Fun fact? They solved it mathematically.

Maryam ran into Manjul, exchanged medals.

Maryam awaited Martin & Manjul awaited Artur to exchange further.

Finally, they had their medals by the end of the evening.

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Mathematics
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