{"id":"openai-math/Donovans-Conjecture-over-Algebraic-Closures-of-Prime-Fields","pdf":"https://github.com/openai/math/blob/main/preprints/Donovans-Conjecture-over-Algebraic-Closures-of-Prime-Fields-September-24-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Donovans-Conjecture-over-Algebraic-Closures-of-Prime-Fields-September-24-2026","tags":["representation-theory","modular-representation","block-theory"],"score":0,"title":"Donovan's Conjecture over Algebraically Closed Fields","domain":"Algebra","family":"203","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.RA","summary":"We prove Donovan's conjecture over every algebraically closed field K of characteristic p > 0. For each fixed K and bound on defect-group order, blocks of finite groups represent only finitely many K -linear Morita equivalence classes. The defect groups need not be abelian, and the result includes p = 2.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Donovan's conjecture over fields and complete mixed-characteristic DVRs"}