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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IBS - CGP SeminarㅣSome results and conjectures the rank of some knot homologies
분야Field | |||
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날짜Date | 2022-12-15 ~ 2022-12-15 | 시간Time | 17:00 ~ 18:00 |
장소Place | Online streaming (Zoom) | 초청자Host | |
연사Speaker | Marco Marengon | 소속Affiliation | Alfréd Rényi Institute for Mathematics |
TOPIC | IBS - CGP SeminarㅣSome results and conjectures the rank of some knot homologies | ||
소개 및 안내사항Content | Some results and conjectures the rank of some knot homologies Given a knot in the 3-sphere, one can associate some knot homologies with it, among which knot Floer homology and (reduced) Khovanov homology. Motivated by Fox-Milnor's obstruction for slice knots, we prove that all knots in a certain family have these homologies with total rank being a square integer. Moreover, we conjecture that the rank of knot Floer homology is congruent to 1 modulo 8 for all slice knots, and we prove this fact for a subfamily of slice knots, namely fusion number 1 ribbon knots. This is a joint work with Hockenhull and Willis, and partially also with Dunfield and Gong. ★ Pre-registration is certainly required, please visit https://cgp.ibs.re.kr/
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학회명Field | IBS - CGP SeminarㅣSome results and conjectures the rank of some knot homologies | ||
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날짜Date | 2022-12-15 ~ 2022-12-15 | 시간Time | 17:00 ~ 18:00 |
장소Place | Online streaming (Zoom) | 초청자Host | |
소개 및 안내사항Content | Some results and conjectures the rank of some knot homologies Given a knot in the 3-sphere, one can associate some knot homologies with it, among which knot Floer homology and (reduced) Khovanov homology. Motivated by Fox-Milnor's obstruction for slice knots, we prove that all knots in a certain family have these homologies with total rank being a square integer. Moreover, we conjecture that the rank of knot Floer homology is congruent to 1 modulo 8 for all slice knots, and we prove this fact for a subfamily of slice knots, namely fusion number 1 ribbon knots. This is a joint work with Hockenhull and Willis, and partially also with Dunfield and Gong. ★ Pre-registration is certainly required, please visit https://cgp.ibs.re.kr/
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성명Field | IBS - CGP SeminarㅣSome results and conjectures the rank of some knot homologies | ||
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날짜Date | 2022-12-15 ~ 2022-12-15 | 시간Time | 17:00 ~ 18:00 |
소속Affiliation | Alfréd Rényi Institute for Mathematics | 초청자Host | |
소개 및 안내사항Content | Some results and conjectures the rank of some knot homologies Given a knot in the 3-sphere, one can associate some knot homologies with it, among which knot Floer homology and (reduced) Khovanov homology. Motivated by Fox-Milnor's obstruction for slice knots, we prove that all knots in a certain family have these homologies with total rank being a square integer. Moreover, we conjecture that the rank of knot Floer homology is congruent to 1 modulo 8 for all slice knots, and we prove this fact for a subfamily of slice knots, namely fusion number 1 ribbon knots. This is a joint work with Hockenhull and Willis, and partially also with Dunfield and Gong. ★ Pre-registration is certainly required, please visit https://cgp.ibs.re.kr/
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성명Field | IBS - CGP SeminarㅣSome results and conjectures the rank of some knot homologies | ||
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날짜Date | 2022-12-15 ~ 2022-12-15 | 시간Time | 17:00 ~ 18:00 |
호실Host | 인원수Affiliation | Marco Marengon | |
사용목적Affiliation | 신청방식Host | Alfréd Rényi Institute for Mathematics | |
소개 및 안내사항Content | Some results and conjectures the rank of some knot homologies Given a knot in the 3-sphere, one can associate some knot homologies with it, among which knot Floer homology and (reduced) Khovanov homology. Motivated by Fox-Milnor's obstruction for slice knots, we prove that all knots in a certain family have these homologies with total rank being a square integer. Moreover, we conjecture that the rank of knot Floer homology is congruent to 1 modulo 8 for all slice knots, and we prove this fact for a subfamily of slice knots, namely fusion number 1 ribbon knots. This is a joint work with Hockenhull and Willis, and partially also with Dunfield and Gong. ★ Pre-registration is certainly required, please visit https://cgp.ibs.re.kr/
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