강연 / 세미나
WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics)
| 분야Field | |||
|---|---|---|---|
| 날짜Date | 2022-10-17 ~ 2022-10-17 | 시간Time | 17:00 ~ 18:00 |
| 장소Place | Online streaming(zoom) | 초청자Host | |
| 연사Speaker | Professor Joachim Koenig | 소속Affiliation | Korea National University of Education |
| TOPIC | WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics) | ||
| 소개 및 안내사항Content | On the arithmetic-geometric complexity of the Grunwald problem Abstract: The Grunwald problem for a group G over a number field k asks whether, given Galois extensions of kp of Galois group embedding into G at finitely many completions kp of k (possibly away from some finite set of primes depending only on G and k), there always exists a G-extension of k approximating all these local extensions. This question grew naturally out of the Grunwald-Wang theorem, which deals with the case of abelian groups. Following more general concepts of arithmetic-geometric complexity in inverse Galois theory, we develop a notion of complexity of Grunwald problems by looking for Galois covers of varieties which encapsulate solutions to arbitrary Grunwald problems (for a given group). In particular, we determine the groups G for which solutions to arbitrary Grunwald problems may be obtained via specialization of a G-cover of {\it curves}. Joint with D. Neftin.
https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
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| 학회명Field | WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics) | ||
|---|---|---|---|
| 날짜Date | 2022-10-17 ~ 2022-10-17 | 시간Time | 17:00 ~ 18:00 |
| 장소Place | Online streaming(zoom) | 초청자Host | |
| 소개 및 안내사항Content | On the arithmetic-geometric complexity of the Grunwald problem Abstract: The Grunwald problem for a group G over a number field k asks whether, given Galois extensions of kp of Galois group embedding into G at finitely many completions kp of k (possibly away from some finite set of primes depending only on G and k), there always exists a G-extension of k approximating all these local extensions. This question grew naturally out of the Grunwald-Wang theorem, which deals with the case of abelian groups. Following more general concepts of arithmetic-geometric complexity in inverse Galois theory, we develop a notion of complexity of Grunwald problems by looking for Galois covers of varieties which encapsulate solutions to arbitrary Grunwald problems (for a given group). In particular, we determine the groups G for which solutions to arbitrary Grunwald problems may be obtained via specialization of a G-cover of {\it curves}. Joint with D. Neftin.
https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
||
| 성명Field | WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics) | ||
|---|---|---|---|
| 날짜Date | 2022-10-17 ~ 2022-10-17 | 시간Time | 17:00 ~ 18:00 |
| 소속Affiliation | Korea National University of Education | 초청자Host | |
| 소개 및 안내사항Content | On the arithmetic-geometric complexity of the Grunwald problem Abstract: The Grunwald problem for a group G over a number field k asks whether, given Galois extensions of kp of Galois group embedding into G at finitely many completions kp of k (possibly away from some finite set of primes depending only on G and k), there always exists a G-extension of k approximating all these local extensions. This question grew naturally out of the Grunwald-Wang theorem, which deals with the case of abelian groups. Following more general concepts of arithmetic-geometric complexity in inverse Galois theory, we develop a notion of complexity of Grunwald problems by looking for Galois covers of varieties which encapsulate solutions to arbitrary Grunwald problems (for a given group). In particular, we determine the groups G for which solutions to arbitrary Grunwald problems may be obtained via specialization of a G-cover of {\it curves}. Joint with D. Neftin.
https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
||
| 성명Field | WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics) | ||
|---|---|---|---|
| 날짜Date | 2022-10-17 ~ 2022-10-17 | 시간Time | 17:00 ~ 18:00 |
| 호실Host | 인원수Affiliation | Professor Joachim Koenig | |
| 사용목적Affiliation | 신청방식Host | Korea National University of Education | |
| 소개 및 안내사항Content | On the arithmetic-geometric complexity of the Grunwald problem Abstract: The Grunwald problem for a group G over a number field k asks whether, given Galois extensions of kp of Galois group embedding into G at finitely many completions kp of k (possibly away from some finite set of primes depending only on G and k), there always exists a G-extension of k approximating all these local extensions. This question grew naturally out of the Grunwald-Wang theorem, which deals with the case of abelian groups. Following more general concepts of arithmetic-geometric complexity in inverse Galois theory, we develop a notion of complexity of Grunwald problems by looking for Galois covers of varieties which encapsulate solutions to arbitrary Grunwald problems (for a given group). In particular, we determine the groups G for which solutions to arbitrary Grunwald problems may be obtained via specialization of a G-cover of {\it curves}. Joint with D. Neftin.
https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
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2022-10-11 17:44 ·
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