Lecture / Seminar
일 일 일 Sun | 월 월 월 Mon | 화 화 화 Tue | 수 수 수 Wed | 목 목 목 Thu | 금 금 금 Fri | 토 토 토 Sat |
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2024 Spring POSTECH-PMI Number Theory Seminar
분야Field | |||
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날짜Date | 2024-04-19 ~ 2024-04-19 | 시간Time | 09:00 ~ 11:00 |
장소Place | online | 초청자Host | |
연사Speaker | Wei Zhang | 소속Affiliation | Massachusetts Institute of Technology, USA |
TOPIC | 2024 Spring POSTECH-PMI Number Theory Seminar | ||
소개 및 안내사항Content | Title : p-adic Heights of the arithmetic diagonal cycles on unitary Shimura varieties Speaker : Wei Zhang(Massachusetts Institute of Technology, USA) abstract : We formulate a p�-adic analogue of the Arithmetic Gan-Gross-Prasad Conjectures for unitary groups, relating the p�-adic height pairing of the arithmetic diagonal cycles to the first central derivative (along the cyclotomic direction) of a p�-adic Rankin-Selberg L-function associated to cuspidal automorphic representations. In the good ordinary case we are able to prove the conjecture, at least when the ramification are mild at inert primes, using recent progress on the arithmetic fundamental lemma and arithmetic transfer conjectures. We deduce some application to p�-adic version of the Bloch-Kato conjecture. Joint work with Daniel Disegni. |
학회명Field | 2024 Spring POSTECH-PMI Number Theory Seminar | ||
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날짜Date | 2024-04-19 ~ 2024-04-19 | 시간Time | 09:00 ~ 11:00 |
장소Place | online | 초청자Host | |
소개 및 안내사항Content | Title : p-adic Heights of the arithmetic diagonal cycles on unitary Shimura varieties Speaker : Wei Zhang(Massachusetts Institute of Technology, USA) abstract : We formulate a p�-adic analogue of the Arithmetic Gan-Gross-Prasad Conjectures for unitary groups, relating the p�-adic height pairing of the arithmetic diagonal cycles to the first central derivative (along the cyclotomic direction) of a p�-adic Rankin-Selberg L-function associated to cuspidal automorphic representations. In the good ordinary case we are able to prove the conjecture, at least when the ramification are mild at inert primes, using recent progress on the arithmetic fundamental lemma and arithmetic transfer conjectures. We deduce some application to p�-adic version of the Bloch-Kato conjecture. Joint work with Daniel Disegni. |
성명Field | 2024 Spring POSTECH-PMI Number Theory Seminar | ||
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날짜Date | 2024-04-19 ~ 2024-04-19 | 시간Time | 09:00 ~ 11:00 |
소속Affiliation | Massachusetts Institute of Technology, USA | 초청자Host | |
소개 및 안내사항Content | Title : p-adic Heights of the arithmetic diagonal cycles on unitary Shimura varieties Speaker : Wei Zhang(Massachusetts Institute of Technology, USA) abstract : We formulate a p�-adic analogue of the Arithmetic Gan-Gross-Prasad Conjectures for unitary groups, relating the p�-adic height pairing of the arithmetic diagonal cycles to the first central derivative (along the cyclotomic direction) of a p�-adic Rankin-Selberg L-function associated to cuspidal automorphic representations. In the good ordinary case we are able to prove the conjecture, at least when the ramification are mild at inert primes, using recent progress on the arithmetic fundamental lemma and arithmetic transfer conjectures. We deduce some application to p�-adic version of the Bloch-Kato conjecture. Joint work with Daniel Disegni. |
성명Field | 2024 Spring POSTECH-PMI Number Theory Seminar | ||
---|---|---|---|
날짜Date | 2024-04-19 ~ 2024-04-19 | 시간Time | 09:00 ~ 11:00 |
호실Host | 인원수Affiliation | Wei Zhang | |
사용목적Affiliation | 신청방식Host | Massachusetts Institute of Technology, USA | |
소개 및 안내사항Content | Title : p-adic Heights of the arithmetic diagonal cycles on unitary Shimura varieties Speaker : Wei Zhang(Massachusetts Institute of Technology, USA) abstract : We formulate a p�-adic analogue of the Arithmetic Gan-Gross-Prasad Conjectures for unitary groups, relating the p�-adic height pairing of the arithmetic diagonal cycles to the first central derivative (along the cyclotomic direction) of a p�-adic Rankin-Selberg L-function associated to cuspidal automorphic representations. In the good ordinary case we are able to prove the conjecture, at least when the ramification are mild at inert primes, using recent progress on the arithmetic fundamental lemma and arithmetic transfer conjectures. We deduce some application to p�-adic version of the Bloch-Kato conjecture. Joint work with Daniel Disegni. |