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Mieda Lab
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A lab that seeks a deeper understanding of automorphic representations through Shimura varieties.

AboutAbout the lab
Understanding representations through geometry
Mieda Lab studies the Langlands correspondence in the field of number theory.
The lab's research centers on geometric objects called Shimura varieties and their local counterparts, Rapoport-Zink spaces.
The main goal is to gain a deeper understanding of automorphic representations and representations of p-adic reductive groups through these objects.
Key terms
- Langlands correspondence
- A correspondence believed to link Galois representations arising in number theory with automorphic representations
- Shimura variety
- A geometric object (variety) with special symmetries, closely tied to number theory. It serves as the setting for the study of automorphic forms
- Automorphic representation
- A representation of a group that arises from automorphic forms, which are functions with strong symmetry
ResearchResearch themes
The lab's field is number theory, and its research themes are the Langlands correspondence, Shimura varieties, and Rapoport-Zink spaces. Through geometric objects, the lab aims to gain a deeper understanding of automorphic representations and representations of p-adic reductive groups.
View More ↗MembersFaculty
- Associate ProfessorYoichi MiedaPublications ↗
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Order-7-3 triangular honeycomb UHS” Roice3 / CC BY-SA 4.0 (cropped)
- Shimura Varieties and the Langlands Correspondence: “H2 tiling 237-2” Anton Sherwood / Public domain (cropped)
- Related lab (Kezuka Lab): “Addition on cubic” Jean Brette / CC BY 3.0 (cropped)
- Related lab (Ito Lab): “Tetrahedroid” Salix alba / CC BY-SA 4.0 (cropped)
- Related lab (Oguiso Lab): “Calabi yau” Jbourjai / Public domain (cropped)
- Related lab (Kawakami Lab): “BarthSextic” Mike Williams / Public domain (cropped)
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