Notes on the Oxford IUT workshop by Brian Conrad


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Brian Conrad is a math professor at Stanford and was one of the participants at the Oxford workshop on Mochizuki’s work on the ABC Conjecture. He is an expert in arithmetic geometry, a subfield of number theory which provides geometric formulations of the ABC Conjecture (the viewpoint studied in Mochizuki’s work).

Since he was asked by a variety of people for his thoughts about the workshop, Brian wrote the following summary. He hopes that a non-specialist may also learn something from these notes concerning the present situation. Forthcoming articles in Nature and Quanta on the workshop will be addressed at the general public. This writeup has the following structure:

  1. Background
  2. What has delayed wider understanding of the ideas?
  3. What is Inter-universal Teichmuller Theory (IUTT = IUT)?
  4. What happened at the conference?
  5. Audience frustration
  6. Concluding thoughts
  7. Technical appendix

1.  Background

The ABC Conjecture is one of the outstanding conjectures in number…

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