Peter Spacek

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math.AG2025

Irregular Hodge numbers of Frenkel--Gross connections

Yichen Qin, Christian Sevenheck, Peter Spacek

Frenkel and Gross constructed a family of connections on $P^{1} \ {0, \infty}$ , for almost simple groups $G ˇ$ and their representations. In this article, we c…

math.AG2024

Chevalley Polytopes and Newton-Okounkov Bodies

Peter Spacek, Charles Wang

We construct a family of polytopes, which we call Chevalley polytopes, associated to homogeneous spaces $X = G / P$ in their projective embeddings $X\hookrightarrow \mathbb{P}(V_{\varp…

math.AG2024

Canonical Landau-Ginzburg models for cominuscule homogeneous spaces

Peter Spacek, Charles Wang

We present a type-independent Landau-Ginzburg (LG) model $(X_{can}, W_{can})$ for any cominuscule homogeneous space $X = G / P$ . We give a fully combinatorial c…