[English]
16:30 -- 18:00 Ȋwȓ(wLpX)
Tea: 16:00 -- 16:30 R[

Last updated March 1, 2013
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102 -- 056, 16:30 -- 18:00

l (ww@Ȋw)

Geometric flows and their self-similar solutions

Abstract: In the first half of this expository talk we consider the Ricci flow and its self-similar solutions, namely the Ricci solitons. We then specialize in the Kähler case and discuss on the Kähler-Einstein problem. In the second half of this talk we consider the mean curvature flow and its self-similar solutions, and see common aspects of the two geometric flows.

109 -- 056, 16:30 -- 18:00

F (sww@w)

The growth series of pure Artin groups of dihedral type

Abstract: In this talk, I consider the kernel of the natural projection from the Artin group of dihedral type to the corresponding Coxeter group, that we call a pure Artin group of dihedral type, and present rational function expressions for both the spherical and geodesic growth series of the pure Artin group of dihedral type with respect to a natural generating set. Also, I show that their growth rates are Pisot numbers. This talk is partially based on a joint work with Takao Satoh.

1016 -- 056, 17:10 -- 18:10

g (sww@w)

Analytic torsion of log-Enriques surfaces

Abstract: Log-Enriques surfaces are rational surfaces with nowhere vanishing pluri-canonical forms. We report the recent progress on the computation of analytic torsion of log-Enriques surfaces.

1023 -- 056, 16:30 -- 18:00

͐ (ww@Ȋw)

A geometric approach to the Johnson homomorphisms

Abstract: vYiÓcmw|jƂ̋B W\^AꂽS[h}EgDGtE[o㐔ւ gQ ߍ݂ƂđB̍ہAW\^̓gDGt]ʐς jɊ܂܂B EP̏ꍇÂƂXcg[X̊􉽓IȈӖ炩ɂȂB Ԃ΁A~̏ꍇɂĂc_B

1030 -- 126, 16:30 -- 18:00

q (ʑww@Hw)

Applications of knot theory to molecular biology

Abstract: In this talk we discuss applications of knot theory to studies of DNA and proteins. Especially we will consider
(1)topological characterization of mechanisms of site-specific recombination systems,
(2)modeling knotted DNA and proteins in confined regions using lattice knots, and
(3)mechanism of topoisomerases and signed crossing changes.

116 -- 056, 16:30 -- 18:00

Ï pa (ÉwȊw)

іڂւ̃KAp

Abstract: іڂɒ܂郂eB[t̍\ɂĐB ̌AL̂̐΃KAQ'іڑŜ' 񎩖ȕ@Ŕ񎩖ɍp邱ƂB

1113 -- 056, 16:30 -- 18:00

kR MT (sw͌C{wpUPD)

The virtual fibering theorem and sutured manifold hierarchies

Abstract: In 2007 Agol showed that every irreducible 3-manifold whose fundamental group is nontrivial and virtually residually finite rationally solvable (RFRS) is virtually fibered. In the proof he used the theory of least-weight taut normal surfaces introduced and developed by Oertel and Tollefson-Wang. We give another proof using complexities of sutured manifolds. This is a joint work with Stefan Friedl (University of Cologne).

1120 -- 056, 16:30 -- 18:00

Y (ÉwȊw)

3oȊ􉽂ƒc㐔

Abstract: NX^[㐔2000NFomin-ZelevinskyɂĔꂽ㐔nłD ߔNCNX^[㐔̍\͗ʎqQ̗_C᎟g|W[EUϕnEDonaldson-Thomas_E_ȂǗlXȕŔC_Ci~bNɌiWĂD ͌_ɂ邠̑oΐwiƂC3oȊ􉽂ƃNX^[㐔̊֌WɂďЉD

1127 -- 056, 16:30 -- 18:00

V [ (JSPS-IHES tF[)

tw\̓ނ̗LIʂɂ

Abstract: Thurston̗ɂAtw\̓񎟓ނ͗LEłȂƂmĂB{uł́AfIȋ`R\Ȃǂtw\ɑ΂ẮiOIȏꍇj񎟓ނLƂALEtw\̍Ƃ̊֘AƋɐB i{uSantiago de CompostelawJesús Antonio Álvarez LópezƂ̋ arXiv:1205.3375ɊÂBj

124 -- 056, 16:30 -- 18:00

{ ` (ssw)

Conformal field theory for C2-cofinite vertex algebras

Abstract: This is a jount work with Akihiro Tsuchiya (Kavli IPMU). We consider sheaves of covacua and conformal blocks over parameter spaces of n-pointed Riemann surfaces for a vertex algebra of which the category of modules is not necessarily semi-simple. We assume the C2-cofiniteness condition for vertex algebras. We define "tensor product" of two modules over a C2-cofinite vertex algebra.

1211 -- 056, 16:30 -- 18:00

Ismar Volic (Wellesley College)

Homotopy-theoretic methods in the study of spaces of knots and links

Abstract: I will survey the ways in which some homotopy-theoretic methods, manifold calculus of functors main among them, have in recent years been used for extracting information about the topology of spaces of knots and links. Cosimplicial spaces and operads will also be featured. I will end with some recent results about spaces of homotopy string links and in particular about how one can use functor calculus in combination with configuration space integrals to extract information about Milnor invariants.

121 () -- 002

16:30 -- 17:30

(ww@Ȋw)

xL냊[f\Ɏ[tw\ɂ

Abstract: [\$\mathfrak{g}\$-tw\^ꂽƂ,ɕt\[ƌ ΂\$\mathfrak{g}\$̕[\$\mathfrak{h}\$܂.{uł͂̋t, Ȃ킿,[\$\mathfrak{g}\$Ƃ̕[\$\mathfrak{h}\$^ꂽ Ƃ\[\$\mathfrak{h}\$ƂȂ郊[\$\mathfrak{g}\$-tw\݂ 邩ƂɂĂ,\$\mathfrak{g}\$xL냊[̏ꍇɐ.

17:30 -- 18:30

Γc qF (ww@Ȋw)

Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk

Abstract: Gambaudo and Ghys constructed linearly independent countably many quasi- morphisms on the group of area-preserving diffeomorphisms of the 2-disk from quasi-morphisms on braid groups. In this talk, we will explain that their construction is injective as a homomorphism between vector spaces of quasi-morphisms. If time permits, we introduce an application by Brandenbursky and K\c{e} dra.@

122 -- 056, 16:30 -- 18:00

Jarek Kedra (University of Aberdeen)

On the autonomous metric of the area preserving diffeomorphism of the two dimensional disc.

Abstract: Let D be the open unit disc in the Euclidean plane and let G:=Diff(D, area) be the group of smooth compactly supported area-preserving diffeomorphisms of D. A diffeomorphism is called autonomous if it is the time one map of the flow of a time independent vector field. Every diffeomorphism in G is a composition of a number of autonomous diffeomorphisms. The least amount of such diffeomorphisms defines a norm on G. In the talk I will investigate geometric properties of such a norm.
In particular I will construct a bi-Lipschitz embedding of the free abelian group of arbitrary rank to G. I will also show that the space of homogeneous quasi-morphisms vanishing on all autonomous diffeomorphisms in G is infinite dimensional.
This is a joint work with Michael Brandenbursky.

219 -- 056, 16:30 -- 18:00

p (_Hw)

On the ring of Fricke characters of free groups

Abstract: This is a joint work with Takao Satoh (Tokyo University of Science). We study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of the free group naturally acts. Then by using it, we define a descending filtration of the automorphism group of a free group, and investigate a relation between it and the Andreadakis-Johnson filtration.

319 -- 002, 16:30 -- 18:00

쎺 \q (University of Iowa)

Open book foliation and application to contact topology

Abstract: Open book foliation is a generalization of Birman and Menasco's braid foliation. Any 3-manifold admits open book decompositions. Open book foliation is a singular foliation on an embedded surface, and is define by the intersection of a surface and the pages of the open book decomposition. By Giroux's identification of open books and contact structures one can use open book foliation method to study contact structures. In this talk I define the open book foliation and show some applications to contact topology. This is joint work with Tetsuya Ito (University of British Columbia).

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