2004 Nara Topology Seminar


11寧8擔乮寧乯

応強丗撧椙彈巕戝妛棟妛晹俠搹係奒丂C431-2 乮悢妛墘廗幒乯

14:40乣16:10

島墘幰丗嬥 塸巕 乮嫗戝棟乯

島墘戣栚丗乽媅傾僲僜僼慻傒傂傕偲 blinking vortex 僔僗僥儉偵傛傞棻巕崿崌偵偮偄偰乿


10寧28擔乮栘乯

応強丗撧椙彈巕戝妛棟妛晹俠搹係奒丂C431-2 乮悢妛墘廗幒乯

10:00乣12:30

島墘幰丗Prof. Sergio Fenley (Florida State University)

島墘戣栚丗乽Foliations, topology and geometry of 3-manifolds: $R$-covered foliations and transverse pseudo-Anosov flows乿

傾僽僗僩儔僋僩丗 We analyse the topological and geometrical behavior of foliations in 3-manifolds. We consider the transverse structure of an R-covered foliation in a 3-manifold, where R-covered means that in the universal cover the leaf space of the foliation is Hausdorff and hence homeomorphic to the real numbers. If the manifold is aspherical we prove that either there is an incompressible torus in the manifold; or there is a transverse pseudo-Anosov flow which captures the directions of maximal stretch/contraction transverse to the foliation. A consequence is that 3-manifolds with R-covered foliations satisfy the weak hyperbolization conjecture.

(彯偙偺島墘偼

亂戝嶃戝妛丒撧椙彈巕戝妛崌摨僩億儘僕乕僙儈僫乕亃
偲偟偰峴傢傟傑偡.)

Date: October 28(Thu.)

Room: Nara Women's University C431-2

10:00乣12:30

Speaker: Prof. Sergio Fenley (Florida State University)

Title: Foliations, topology and geometry of 3-manifolds: $R$-covered foliations and transverse pseudo-Anosov flows

Abstract: We analyse the topological and geometrical behavior of foliations in 3-manifolds. We consider the transverse structure of an R-covered foliation in a 3-manifold, where R-covered means that in the universal cover the leaf space of the foliation is Hausdorff and hence homeomorphic to the real numbers. If the manifold is aspherical we prove that either there is an incompressible torus in the manifold; or there is a transverse pseudo-Anosov flow which captures the directions of maximal stretch/contraction transverse to the foliation. A consequence is that 3-manifolds with R-covered foliations satisfy the weak hyperbolization conjecture.

Note: This talk is given as as activity of Osaka University and Nara Women's University joint topology seminar.


7寧16擔乮嬥乯

応強丗撧椙彈巕戝妛棟妛晹俠搹係奒丂C431-2 乮悢妛墘廗幒乯

13:00乣14:00

島墘幰丗Prof. Boris Apanasov (University of Oklahoma)

島墘戣栚丗乽Deformations of hyperbolic manifolds and their laminations乿

Abstract: We will discuss conformal deformations of finite volume hyperbolic n-manifolds, especially for n=3. We start with a survey of many ways to construct such deformations, starting with well known bendings along totally geodesic submanifolds, as well as possible components of Teichmuller space. Such deformations give rise canonical hyperbolic stratifications of initial hyperbolic manifold and its geodesic laminations. These laminations may have (geodesic) singularities. Understanding of such laminations and their properties is crucial for Teichmuller theory.

(彯偙偺島墘偼

亂戝嶃戝妛丒撧椙彈巕戝妛崌摨僩億儘僕乕僙儈僫乕亃
偲偟偰峴傢傟傑偡.)

14:30乣17:30

島墘幰丗 Prof. Danny Calegari (California Inst. Tech.)

島墘戣栚丗乽Universal circles for foliations, laminations, flows乿

撪梕丗 偙偺島墘偱偼師偺榑暥偺撪梕(偍傛傃偦傟偵娭楢偟偨榖戣)偵偮偄偰徯夘偟偰偄偨偩偔偙偲偵側偭偰偄傑偡.

Laminations and groups of homeomorphisms of the circle Invent. Math. 152 (2003) no. 1, 149-204

Date: July 16(Fri.)

Room: Nara Women's University C431-2

13:00乣14:00

Speaker: Prof. Boris Apanasov (University of Oklahoma)

Title: Deformations of hyperbolic manifolds and their laminations

Abstract: We will discuss conformal deformations of finite volume hyperbolic n-manifolds, especially for n=3. We start with a survey of many ways to construct such deformations, starting with well known bendings along totally geodesic submanifolds, as well as possible components of Teichmuller space. Such deformations give rise canonical hyperbolic stratifications of initial hyperbolic manifold and its geodesic laminations. These laminations may have (geodesic) singularities. Understanding of such laminations and their properties is crucial for Teichmuller theory.

Note: This talk is given as as activity of Osaka University and Nara Women's University joint topology seminar.

14:30乣17:30

Speaker: Prof. Danny Calegari (California Inst. Tech.)

Title: Universal circles for foliations, laminations, flows

We asked Prof.Calegari to give an explanation on the following paper, and related topics.

Laminations and groups of homeomorphisms of the circle Invent. Math. 152 (2003) no. 1, 149-204


6寧25擔乮嬥乯

応強丗撧椙彈巕戝妛棟妛晹俠搹係奒丂C431-2乮悢妛墘廗幒乯

10:00乣11:45

島墘幰丗 Prof. Yo'av Rieck (University of Arkansas)

島墘戣栚丗 乽A new proof of McShane Theorem :classification of cuspidal simple geodesics乿

12:00乣13:00

島墘幰丗 Prof. Rama Mishra (Indian Institute of Technology-Delhi)

島墘戣栚丗 乽SURVEY ON POLYNOMIAL KNOTS乿

Date: June 25(Fri.)

Room: Nara Women's University C431-2

10:00乣11:45

Speaker: Prof. Yo'av Rieck (University of Arkansas)

Title: A new proof of McShane Theorem :classification of cuspidal simple geodesics

10:00乣11:45

Speaker: Prof. Rama Mishra (Indian Institute of Technology-Delhi)

Title: SURVEY ON POLYNOMIAL KNOTS


1寧5擔乮寧乯屵屻1:00乣丆1寧6擔乮壩乯屵慜10:00乣12:00

応強丗撧椙彈巕戝妛棟妛晹俠搹係奒丂C434 乮悢妛彫島媊幒乯

島墘幰丗 Prof. Saul Schleimer (Univ. Illinois)

島墘戣栚丗 乽Heegaard splittings of high genus乿

Date: January 5, 13:00--, and 6, 10:00--12:00

Room: Nara Women's University C434

Speaker: Prof. Saul Schleimer (Univ. Illinois)

Title: Heegaard splittings of high genus


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