shimma variety

Type: Concept

As of November 2026, shimma variety has been mentioned in one podcast episode on Institute for Advanced Study (Dec 2025). Discussed in the context of arithmetic geometry and its relation to automorphic representations and special cycles.

In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient variety of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. Shimura varieties are not algebraic varieties but are families of algebraic varieties. Shimura curves are the one-dimensional Shimura varieties. Hilbert modular surfaces and Siegel modular varieties are among the best known classes of Shimura varieties.