Han’s conjecture on Hochschild homology

Finite-dimensional counterexample to Han’s conjecture

Model / AI: GPT-5.6 Sol Ultra

Kong, Liu and Shen construct a finite-dimensional complex algebra with infinite global dimension and vanishing positive-degree Hochschild homology. Their acknowledgments credit GPT-5.6 Sol Ultra with assistance in discovering the counterexample and state that the authors checked the mathematics.

Source read 2026-09-08. Located through seewoo5/awesome-ai-for-math. Read Theorem 1.1 and the AI acknowledgment in Section 1.3. No independent proof audit was performed.

• Paper — Paper
• Paper — Theorem and AI acknowledgment