On the (in)finiteness of fixed characters in genus $3$
We construct a counterexample to the Putman--Wieland conjecture in genus $3$ and discuss some of its consequences.
math.GT↗
arXiv subjects
Yixuan Fu
Publications and source records attributed to Yixuan Fu.
MultivationBench: A Benchmark for Multimodal Sequential Motivation Reasoning
Multimodal Large Language Models have sparked significant interest due to their potential for social intelligence; however, their ability to perform sequential motivation reasoning remains insufficiently studied. Existing evaluations predominantly examine static text or isolated visual snapshots, which do not reflect the cumulative nature of real-world behavioral drivers. To address this gap, we introduce MultivationBench, a benchmark designed to rigorously evaluate multimodal motivation reasoning within story-driven visual narratives. The benchmark builds upon established psychological frameworks - Maslow's hierarchy and Reiss's basic desires - and requires models to integrate accumulated multimodal context to infer evolving motivations. Results indicate that MultivationBench presents a significant challenge: all tested models struggle to maintain consistent motivation reasoning across sequential contexts, revealing a critical disconnect between static recognition capabilities and the dynamic reasoning essential for human-like social understanding.
cs.AI↗
Nonabelian Kodaira-Spencer maps
We give an explicit formula of the associated graded map to the nonabelian Gauss-Manin connection with respect to the nonabelian Hodge filtration.
math.AG↗