강연 / 세미나
Supersingular Loci of Unitary Shimura Varieties
| 분야Field | 2022 FALL POSTECH-PMI NUMBER THEORY SEMINAR | ||
|---|---|---|---|
| 날짜Date | 2022-10-14 ~ 2022-10-14 | 시간Time | 10:00 ~ 12:00 |
| 장소Place | Online streaming(zoom) | 초청자Host | |
| 연사Speaker | Maria Fox | 소속Affiliation | Oklahoma State University, USA |
| TOPIC | Supersingular Loci of Unitary Shimura Varieties | ||
| 소개 및 안내사항Content | Supersingular Loci of Unitary Shimura Varieties ABSTRACT: The supersingular locus of a unitary Shimura variety parametrizes supersingular abelian varieties with an action of a quadratic imaginary field, meeting a certain signature condition. In low-dimensional cases, every irreducible component of the supersingular locus is isomorphic to a Deligne-Lusztig variety, and the intersection combinatorics are governed by a Bruhat-Tits building. We'll consider these low-dimensional cases for motivation, and then see how the structure of the supersingular locus can be very different in general. (The new result in this talk is joint with Naoki Imai.) 10:00-12:00, Online streaming (Zoom) |
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| 학회명Field | Supersingular Loci of Unitary Shimura Varieties | ||
|---|---|---|---|
| 날짜Date | 2022-10-14 ~ 2022-10-14 | 시간Time | 10:00 ~ 12:00 |
| 장소Place | Online streaming(zoom) | 초청자Host | |
| 소개 및 안내사항Content | Supersingular Loci of Unitary Shimura Varieties ABSTRACT: The supersingular locus of a unitary Shimura variety parametrizes supersingular abelian varieties with an action of a quadratic imaginary field, meeting a certain signature condition. In low-dimensional cases, every irreducible component of the supersingular locus is isomorphic to a Deligne-Lusztig variety, and the intersection combinatorics are governed by a Bruhat-Tits building. We'll consider these low-dimensional cases for motivation, and then see how the structure of the supersingular locus can be very different in general. (The new result in this talk is joint with Naoki Imai.) 10:00-12:00, Online streaming (Zoom) |
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| 성명Field | Supersingular Loci of Unitary Shimura Varieties | ||
|---|---|---|---|
| 날짜Date | 2022-10-14 ~ 2022-10-14 | 시간Time | 10:00 ~ 12:00 |
| 소속Affiliation | Oklahoma State University, USA | 초청자Host | |
| 소개 및 안내사항Content | Supersingular Loci of Unitary Shimura Varieties ABSTRACT: The supersingular locus of a unitary Shimura variety parametrizes supersingular abelian varieties with an action of a quadratic imaginary field, meeting a certain signature condition. In low-dimensional cases, every irreducible component of the supersingular locus is isomorphic to a Deligne-Lusztig variety, and the intersection combinatorics are governed by a Bruhat-Tits building. We'll consider these low-dimensional cases for motivation, and then see how the structure of the supersingular locus can be very different in general. (The new result in this talk is joint with Naoki Imai.) 10:00-12:00, Online streaming (Zoom) |
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| 성명Field | Supersingular Loci of Unitary Shimura Varieties | ||
|---|---|---|---|
| 날짜Date | 2022-10-14 ~ 2022-10-14 | 시간Time | 10:00 ~ 12:00 |
| 호실Host | 인원수Affiliation | Maria Fox | |
| 사용목적Affiliation | 신청방식Host | Oklahoma State University, USA | |
| 소개 및 안내사항Content | Supersingular Loci of Unitary Shimura Varieties ABSTRACT: The supersingular locus of a unitary Shimura variety parametrizes supersingular abelian varieties with an action of a quadratic imaginary field, meeting a certain signature condition. In low-dimensional cases, every irreducible component of the supersingular locus is isomorphic to a Deligne-Lusztig variety, and the intersection combinatorics are governed by a Bruhat-Tits building. We'll consider these low-dimensional cases for motivation, and then see how the structure of the supersingular locus can be very different in general. (The new result in this talk is joint with Naoki Imai.) 10:00-12:00, Online streaming (Zoom) |
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Admin
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2022-10-11 17:38 ·
조회 105 
