강연 / 세미나
WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics)
| 분야Field | |||
|---|---|---|---|
| 날짜Date | 2022-11-07 ~ 2022-11-07 | 시간Time | 17:00 ~ 18:00 |
| 장소Place | Online streaming (Zoom) | 초청자Host | |
| 연사Speaker | François Ballaÿ | 소속Affiliation | Université de Caen Normandie |
| TOPIC | WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics) | ||
| 소개 및 안내사항Content | Positivity in Arakelov geometry and arithmetic Okounkov bodies Abstract: Arakelov theory is a powerful approach to Diophantine geometry that develops arithmetic analogues of tools from algebraic geometry to tackle problems in number theory. It permits to study the arithmetico-geometric properties of a projective variety over a number field by looking at its adelic line bundles, which are usual line bundles equipped with a suitable collection of metrics. Since the seminal work of Zhang on arithmetic ampleness, several notions of positivity for adelic line bundles have been introduced and studied in analogy with the algebro-geometric setting (nefness, bigness, pseudo-effectiveness...). In this talk, I will present these notions and emphasize their connection with the study of height functions in Diophantine geometry. I will then describe how these positivity properties can be studied through convex analysis, thanks to the theory of arithmetic Okounkov bodies introduced by Boucksom and Chen. https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
||
| 학회명Field | WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics) | ||
|---|---|---|---|
| 날짜Date | 2022-11-07 ~ 2022-11-07 | 시간Time | 17:00 ~ 18:00 |
| 장소Place | Online streaming (Zoom) | 초청자Host | |
| 소개 및 안내사항Content | Positivity in Arakelov geometry and arithmetic Okounkov bodies Abstract: Arakelov theory is a powerful approach to Diophantine geometry that develops arithmetic analogues of tools from algebraic geometry to tackle problems in number theory. It permits to study the arithmetico-geometric properties of a projective variety over a number field by looking at its adelic line bundles, which are usual line bundles equipped with a suitable collection of metrics. Since the seminal work of Zhang on arithmetic ampleness, several notions of positivity for adelic line bundles have been introduced and studied in analogy with the algebro-geometric setting (nefness, bigness, pseudo-effectiveness...). In this talk, I will present these notions and emphasize their connection with the study of height functions in Diophantine geometry. I will then describe how these positivity properties can be studied through convex analysis, thanks to the theory of arithmetic Okounkov bodies introduced by Boucksom and Chen. https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
||
| 성명Field | WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics) | ||
|---|---|---|---|
| 날짜Date | 2022-11-07 ~ 2022-11-07 | 시간Time | 17:00 ~ 18:00 |
| 소속Affiliation | Université de Caen Normandie | 초청자Host | |
| 소개 및 안내사항Content | Positivity in Arakelov geometry and arithmetic Okounkov bodies Abstract: Arakelov theory is a powerful approach to Diophantine geometry that develops arithmetic analogues of tools from algebraic geometry to tackle problems in number theory. It permits to study the arithmetico-geometric properties of a projective variety over a number field by looking at its adelic line bundles, which are usual line bundles equipped with a suitable collection of metrics. Since the seminal work of Zhang on arithmetic ampleness, several notions of positivity for adelic line bundles have been introduced and studied in analogy with the algebro-geometric setting (nefness, bigness, pseudo-effectiveness...). In this talk, I will present these notions and emphasize their connection with the study of height functions in Diophantine geometry. I will then describe how these positivity properties can be studied through convex analysis, thanks to the theory of arithmetic Okounkov bodies introduced by Boucksom and Chen. https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
||
| 성명Field | WEBINAR IN NUMBER THEORY 2022 (French-Korean IRL in Mathematics) | ||
|---|---|---|---|
| 날짜Date | 2022-11-07 ~ 2022-11-07 | 시간Time | 17:00 ~ 18:00 |
| 호실Host | 인원수Affiliation | François Ballaÿ | |
| 사용목적Affiliation | 신청방식Host | Université de Caen Normandie | |
| 소개 및 안내사항Content | Positivity in Arakelov geometry and arithmetic Okounkov bodies Abstract: Arakelov theory is a powerful approach to Diophantine geometry that develops arithmetic analogues of tools from algebraic geometry to tackle problems in number theory. It permits to study the arithmetico-geometric properties of a projective variety over a number field by looking at its adelic line bundles, which are usual line bundles equipped with a suitable collection of metrics. Since the seminal work of Zhang on arithmetic ampleness, several notions of positivity for adelic line bundles have been introduced and studied in analogy with the algebro-geometric setting (nefness, bigness, pseudo-effectiveness...). In this talk, I will present these notions and emphasize their connection with the study of height functions in Diophantine geometry. I will then describe how these positivity properties can be studied through convex analysis, thanks to the theory of arithmetic Okounkov bodies introduced by Boucksom and Chen. https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html |
||
Admin
·
2022-10-31 21:21 ·
조회 181 
