강연 / 세미나
Modular forms of half-integral weight and theta functions on $F_4$
| 분야Field | 2022 FALL POSTECH-PMI NUMBER THEORY SEMINAR | ||
|---|---|---|---|
| 날짜Date | 2022-10-28 ~ 2022-10-28 | 시간Time | 10:00 ~ 12:00 |
| 장소Place | Online streaming(zoom) | 초청자Host | |
| 연사Speaker | Spencer Leslie | 소속Affiliation | Boston College, USA |
| TOPIC | Modular forms of half-integral weight and theta functions on $F_4$ | ||
| 소개 및 안내사항Content | Modular forms of half-integral weight and theta functions on $F_4$
ABSTRACT: Half-integral weight modular forms are classical objects with many important arithmetic applications. In terms of automorphic representations, these correspond to objects on the metaplectic double cover of SL(2). In this talk, I will outline a theory of modular forms of half-integral weight on double covers of exceptional groups, generalizing the integral weight theory developed by Gross-Wallach, Gan-Gross-Savin, and Pollack. Furthermore, I discuss a particular example of a weight 1/2 modular form on G2 whose Fourier coefficients encode the 2-torsion in the narrow class groups of totally real cubic fields. This is built by studying a remarkable automorphic representation of the double cover of the exceptional group F4. This is joint work with Aaron Pollack.
|
||
| 학회명Field | Modular forms of half-integral weight and theta functions on $F_4$ | ||
|---|---|---|---|
| 날짜Date | 2022-10-28 ~ 2022-10-28 | 시간Time | 10:00 ~ 12:00 |
| 장소Place | Online streaming(zoom) | 초청자Host | |
| 소개 및 안내사항Content | Modular forms of half-integral weight and theta functions on $F_4$
ABSTRACT: Half-integral weight modular forms are classical objects with many important arithmetic applications. In terms of automorphic representations, these correspond to objects on the metaplectic double cover of SL(2). In this talk, I will outline a theory of modular forms of half-integral weight on double covers of exceptional groups, generalizing the integral weight theory developed by Gross-Wallach, Gan-Gross-Savin, and Pollack. Furthermore, I discuss a particular example of a weight 1/2 modular form on G2 whose Fourier coefficients encode the 2-torsion in the narrow class groups of totally real cubic fields. This is built by studying a remarkable automorphic representation of the double cover of the exceptional group F4. This is joint work with Aaron Pollack.
|
||
| 성명Field | Modular forms of half-integral weight and theta functions on $F_4$ | ||
|---|---|---|---|
| 날짜Date | 2022-10-28 ~ 2022-10-28 | 시간Time | 10:00 ~ 12:00 |
| 소속Affiliation | Boston College, USA | 초청자Host | |
| 소개 및 안내사항Content | Modular forms of half-integral weight and theta functions on $F_4$
ABSTRACT: Half-integral weight modular forms are classical objects with many important arithmetic applications. In terms of automorphic representations, these correspond to objects on the metaplectic double cover of SL(2). In this talk, I will outline a theory of modular forms of half-integral weight on double covers of exceptional groups, generalizing the integral weight theory developed by Gross-Wallach, Gan-Gross-Savin, and Pollack. Furthermore, I discuss a particular example of a weight 1/2 modular form on G2 whose Fourier coefficients encode the 2-torsion in the narrow class groups of totally real cubic fields. This is built by studying a remarkable automorphic representation of the double cover of the exceptional group F4. This is joint work with Aaron Pollack.
|
||
| 성명Field | Modular forms of half-integral weight and theta functions on $F_4$ | ||
|---|---|---|---|
| 날짜Date | 2022-10-28 ~ 2022-10-28 | 시간Time | 10:00 ~ 12:00 |
| 호실Host | 인원수Affiliation | Spencer Leslie | |
| 사용목적Affiliation | 신청방식Host | Boston College, USA | |
| 소개 및 안내사항Content | Modular forms of half-integral weight and theta functions on $F_4$
ABSTRACT: Half-integral weight modular forms are classical objects with many important arithmetic applications. In terms of automorphic representations, these correspond to objects on the metaplectic double cover of SL(2). In this talk, I will outline a theory of modular forms of half-integral weight on double covers of exceptional groups, generalizing the integral weight theory developed by Gross-Wallach, Gan-Gross-Savin, and Pollack. Furthermore, I discuss a particular example of a weight 1/2 modular form on G2 whose Fourier coefficients encode the 2-torsion in the narrow class groups of totally real cubic fields. This is built by studying a remarkable automorphic representation of the double cover of the exceptional group F4. This is joint work with Aaron Pollack.
|
||
Admin
·
2022-10-11 17:47 ·
조회 179 
