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29 Aralık 2022, 13:00 
Boğaziçi Üniversitesi Matematik KonuşmalarıIntegers which are(n't) the sum of two cubes Levent Alpöge Fermat identified the integers which are a sum of two squares, integral or rational: they are exactly those integers which have all primes congruent to 3 (mod 4) occurring to an even power in their prime factorization– a condition satisfied by 0% of integers! What about the integers which are a sum of two cubes? 0% are a sum of two integral cubes, but... Main Theorem: 1. A positive proportion of integers aren't the sum of two rational cubes, 2. and also a positive proportion are! (Joint work with Manjul Bhargava and Ari Shnidman.) TB 130, Boğaziçi University botan 28.12.2022 |
