4 papers
IMProofBench: Benchmarking AI on Research-Level Mathematical Proof Generation
Johannes Schmitt, Gergely Bérczi, Jasper Dekoninck +57
As the mathematical capabilities of large language models (LLMs) improve, it becomes increasingly important to evaluate their performance on research-level tasks at the frontier of…
Morphisms of generalized affine buildings
Raphael Appenzeller, Xenia Flamm, Victor Jaeck
We define a notion of morphism for generalized affine buildings, also known as affine -buildings, extending existing definitions and giving rise to a category of generalized af…
Real spectrum and oriented Gromov equivariant compactifications of character varieties
Victor Jaeck
The character variety of a finitely generated group in has many compactifications. We construct a continuous surjection from the real spectru…
Real Spectrum Compactifications of Universal Geometric Spaces over Character Varieties
Victor Jaeck
We construct universal geometric spaces over the real spectrum compactification of the character variety of a finitely generated group in $\mathrm{SL}…