Information and Communications University
103-6 Munji-dong Yuseong-gu
Daejeon 305-732, Korea
Phone: +82-42-866-6145
Email:
The aim of this workshop is to encourage academic activities in the area of geometric topology in Korea and promote friendly relations between researchers in this area. Our main focus is knot theory and its relationship to manifold theory. We hope this workshop contributes to acceleration of research in the field.
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| February 17 | Arrival and registration | |||
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| 6:30-8:00 | --- Dinner --- | |||
| February 18 | 8:55-9:00 | Announcements | ||
| 9:00-9:40 | Suhyoung Choi | Real projective structures on 2- and 3-dimensional manifolds | ||
| 9:50-10:30 | Jae Choon Cha | Algebraic closures with coefficients | ||
| 10:40-11:20 | Byoung Hee Ahn | Representations of surface braid groups | ||
| 11:30-12:10 | Choon Bae Jeon | Trisecants of spatial graph | ||
| 12:10-1:30 | --- Lunch --- | |||
| February 19 | 9:00-9:40 | Se-Goo Kim | On the 4-ball genus | |
| 9:50-10:30 | Sang Jin Lee | A new approach to the reducibility problem of braids | ||
| 10:40-11:20 | Won Taek Song | Upper and lower bounds for the minimal positive entropy of pure braids | ||
| 11:30-12:10 | Sangyop Lee | Exceptional Dehn fillings | ||
| 12:10-1:30 | --- Lunch --- | |||
| Participants accompanied with family | 130,000 |
| Participants not accompanied with family | 65,000 |
| Students and unemployed | 30,000 |
| (Korean Won) |
Very limited funding may be available to those not supported by other grants. Please contact the organizers (see the contact information below).
We have reserved a block of rooms for participants. We welcome your family; for more comfortable stay, we will assign to each family a guest house with a bedroom, living room, kitchen, and bathroom. Participants not accompanied with family, students, and unemployed participants will share rooms of the same type. For more information on rooms please see Hanwha Resort Sorak web page.
For any inquiries on the workshop, please contact:
Jae Choon Cha
Information and Communications University
103-6 Munji-dong Yuseong-gu
Daejeon 305-732, Korea
Phone: +82-42-866-6145
Email:
For more information on the hotel, please see Hanwha Resort Sorak (in Korean).
In Hanwha Resort Sorak, there is a famous hot spring amusement park. More detailed information is available at Sorak Waterpia (in Korean).
For any subring R of rationals, we construct R-coefficient algebraic closure of groups with respect to certain types of equations by generalizaing previous work of Jerome Levine. It turns out that this gives us a combinatorial description of the R-homology localization of groups. We discuss applications to link concordance, homology cobordism of compact manifolds, and derived filtrations of groups.
Let $D_n$ be the $n$-punctured disc. We assume that it is a round disc and that the punctures lie on a line. An essential simple closed curve system in the punctured disc is \emph{standard} if each component is isotopic to a round circle. The $n$-braid group is a lattice under a subword-order and it acts on the set of essential curve systems in $D_n$. We show that given an essential curve system in $D_n$, the set of braids which make it standard is a sublattice. Using this, we make criterions for reducible braids so that each element in its ultra summit set has a standard reduction system.
We estimate the number of exceptional slopes for hyperbolic 3-manifolds with a torus boundary component and at least one other boundary component.
We show that the minimal positive entropy of pure braids is greater than $\log(2+\sqrt5)$, independently of the braid index. For pure 3-braids we show that the minimal entropy is equal to $\log(3+2\sqrt2)$.
HTML by Jae Choon Cha