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F 2019N1021ij10:00-12:00
ꏊF wK@wS206
uҁFꉪpYiswj
uځFіڂ$\Gamma$Ƃ̃P[usϗʂɂ
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$\Gamma$, іڂ2ϐsϗʂłHOMFLYPT Kauffman̋ʂ̗ԌWł. ʂ, ݂ɑfȐp(>0), qɑ΂, ^ꂽіڕsϗʂ(p,q)P[usϗʂ. {u ł, $\Gamma$(p,q)P[usϗʂɒڂ, p=1,2,3̏ꍇɂ, ܂łɓꂽʂЉ.

F 2019N1118ij9:00-11:00iԂɂӂj
ꏊF wK@wS206
uҁFؐiwwj
uځFEpimorphisms between knot groups
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іڌQ͌іڂ̊{Iȕsϗʂł邪A gČіڂ𔻒肷邱ƂeՂƂ͌ȂB AіڌQ͌іڂ𑽂̐̏Ă̂ŁA ̊֌WƂČіڌQԂ̑S˙Ó^l@邱Ƃ ӖƍlB {uł́AіڌQԂ̑S˙Ó^ɊւāA ܂ŕĂ邱Ƃu҂̌ʂ𒆐SɏqׂB

F 2019N1216ij10:00-12:00
ꏊF wK@wS206
uҁFҏri吔j
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F 2020N113ij10:00-12:00
ꏊF wK@wSقQOU
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F 2019N829i؁j10:00-12:00
ꏊF wK@wSقQOU
uҁFJohn ParkeriDurham Universityj
uځFCusp regions associated to screw-parabolic maps
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If a discrete subgroup of ${\rm PSL}(2,{\mathbb C})$ contains a parabolic map then, via Shimizu's lemma, there is a precisely invariant horoball based at the parabolic fixed point. If this fixed point is infinity then the height of the horoball equals the Euclidean translation length of the parabolic map. In hyperbolic space of higher dimensions there are parabolic maps that are not translations, called screw-parabolic maps. If the rotational part of such a map has infinite order then there is no precisely invariant horoball. However, there are sub-horospherical regions that are precisely invariant. We consider discrete subgroups of four dimensional hyperbolic space with a screw-parabolic map with irrational rotational part. Waterman gave an example where the height is linear in the distance to the axis. Erlandsson and Zakeri, in a beautiful paper, gave a way to construct such a region where the height is proportional to the square root of the distance to the axis. However, their region depends heavily on the continued fraction expansion of the rotation angle and is hard to describe. Subsequently I gave a slightly worse region that is described by a simple function. By doing so I was able to improve on the asymptotics of Erlandsson and Zakeri. In this talk I will survey the problem as an example of how simple number theory influences hyperbolic geometry.

F 2019N75ij16:00-18:00
ꏊF wK@wSقQOU
uҁFRamon Barral Lijoiّwj
uځFA space of Riemannian manifolds
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We will present a smooth version of the Gromov space of pointed proper metric spaces. The theory surrounding this space is related to the realization problem in foliation theory. Using a result about graph colorings, we obtain an answer to the aforementioned problem in the setting of laminations. We will also explore some applications to the theory of random Riemannian manifolds.

F 2019N614ij16:00-18:00
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F 2019N510ij16:00-18:00
ꏊFwK@wSقQOU
uҁF厭iwK@wwwȁj@
uځFThurstonbounded image theorem@@
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ThurstonLHakenl̂̈Ӊ藝̒ŏqׂ "bounded image theorem" ݂͌Ɏ܂ŏؖmĂȂD̍uł͌KleinQ_̒mg΂̒藝ؖł邱ƂDToulousewCyril LecuireƂ̋D

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