Local models of Shimura varieties, I. Geometry and combinatorics

By Georgios Pappas, Michael Rapoport, B. Smithling. 2010

82 citations recorded by the source corpus.

We survey the theory of local models of Shimura varieties. In particular, we discuss their definition and illustrate it by examples. We give an overview of the results on their geometry and combinatorics obtained in the last 15 years. We also exhibit their connections to other classes of algebraic varieties such as nilpotent orbit closures, affine Schubert varieties, quiver Grassmannians and wonderful completions of symmetric spaces.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bc5b080183a6ea76212217e7fc8fe2033a462eda

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Xinwen Zhu
2. Georgios Pappas

In Geometry and Topology

1. Xinwen Zhu
2. Georgios Pappas
3. Peter Scholze
4. Xuhua He
5. Thomas J. Haines
6. Timo Richarz
7. Michael Rapoport
8. M. Hoff

In Mathematical Physics

1. Xinwen Zhu
2. Georgios Pappas
3. Peter Scholze
4. Xuhua He
5. Thomas J. Haines
6. Timo Richarz
7. Michael Rapoport
8. M. Hoff

Citations in the corpus

• Local models of Shimura varieties and a conjecture of Kottwitz (2011, methodology): “p. We will leave the details to the reader. A corresponding statement comparing the local models MG,µ with the local models in the theory of PEL Shimura varieties ([55], [20], [19], [47], [48], [50], [51]) will be explained in the next paragraph. 48 G. PAPPAS AND X. ZHU 7. Shimuravarietiesand localm”