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 gDψF Yng-Ing Lee@ipwjC Shu-Cheng Chang@ipwjC Chang-Shou Lin ipw, TIMSjC @iswjC Martin Guestisw, ()swqj ͓@visw, OCAMIjC mc`TiswC\j

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 u\F Professor Yng-Ing Lee iNational Taiwan Univ., Taiwan) Professor Su-Jen Kan iAcademic Sinica, Taiwan) Professor Tai-Chia Lin iNational Taiwan Univ., Taiwan) Professor Chiung-Ju Liu iNational Taiwan Univ., Taiwan) Professor Wu-yen Chuang iNational Taiwan Univ., Taiwan) Doctor Ting-Hui Chang (Academic Sinica, Taiwan) Doctor Kuo-Wei Lee (Academic Sinica, Taiwan) Professor Mikiya Masuda ec iOsaka City Univ., Japan) Professor Qing-Ming Cheng@ c iSaga Univ., Japan) Professor Yasuyuki Nagatomo F Ns iKyushu Univ., Japan) Professor Ryushi Goto 㓡 i iOsaka Univ., Japan) Professor Yoshie Sugiyama R Rb iTsuda College, Japan) Doctor Yohei Sato m iOCAMI, Japan) Doctor Keisuke Onda c iNagoya Univ. & OCAMI, Japan) Mr. Yohsuke Imagi m iD1, Kyoto Univ., Japan) Ms. Saki Okuhara G iD1, Tokyo Metropolitan Univ., Japan) Mr. Hitoshi Yamanaka R m iD1, Osaka City Univ., Japan)

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 u^CgCAuXgNgF abstract Yng-Ing Lee iNational Taiwan Univ., Taiwan) Title: "Special solutions to Lagrangian Mean Curvature Flow" Abstract: Mean curvature flow deforms a submanifold in the direction of its mean curvature vector. When the initial submanifold is Lagrangian in a Kahler-Einstein manifold, the solution will continue to be Lagrangian whenever it is smooth. It thus becomes a nice way to construct special Lagrangians. However, finite-time singularities may occur in general and cause the main difficulties. I will report some of my works with a few collaborators on special solutions to Lagrangian mean curvature flow that is closely related to the study of singularities. Most of the talk will concentrate on examples related to Schoen-Wolfson cones, which are the obstructions to the existence of special Lagranians in two-dimension. Su-Jen KaniAcademic Sinica, Taiwan) Title: "Complete Ricci-flat metrics through a rescaled exhaustion" Abstract: PDF Tai-Chia Lin iNational Taiwan Univ., Taiwan) Title: "The Poisson-Nernst-Planck system for ion transport" Abstract: Understanding ion transport is crucial in the study of many physical and biological problems, such as semiconductors, electro-kinetic fluids, transport of electrochemical systems and ion channels in cell membranes. One of the fundamental models for the ionic transport is the time dependent coupled diffusion-convection equations, the Poisson-Nernst-Planck (PNP) system. The PNP system consists of the electro-static Poisson and Nernst-Planck equations describing electro-diffusion and electrophoresis. In this lecture, Ifll introduce our recent results on the equilibrium of the PNP system and the linear stability problem. Chiung-Ju LiuiNational Taiwan Univ., Taiwan) Title: "Bergman kernel on singular Riemann surfaces" Abstract: The Bergman kernel has a asymptotic expansions on smooth polarized compact Kahler manifolds. However, some properties may not hold on singular manifolds. In this talk, we will study the information of the singularity in the expansion. Wu-yen ChuangiNational Taiwan Univ., Taiwan) Title: "Wallcrossing in ADHM theory and Cohomology of the Hitchin system" Abstract: I will introduce ADHM sheaf theory and present a conjectural recursive formula for the Poincare/Hodge polynomial of Hitchin system. The formula is derived from the wallcrossing of ADHM sheaf theory on curves. It establishes a connection between previous work of Hausel and Rodriguez-Villegas and refined local Donaldson-Thomas invariants. Ting-Hui Chang (Academic Sinica, Taiwan) Title: "On the existence of pseudoharmonic maps from pseudohermitian manifolds into Riemannian manifolds with nonpositive sectional curvature" Abstract: In this talk, we first derive a CR Bochner identity for the pseudoharmonic map heat flow on pseudohermitian manifolds. Secondly, we are able to prove the existence of global smooth solution for the pseudoharmonic map heat flow from a closed pseudohermitian manifold into a Riemannian manifold with nonpositive sectional curvature. In particular, we prove the existence theorem of pseudoharmonic maps. This is served as the CR analogue of Eells-Sampson's Theorem for the harmonic map heat flow. Kuo-Wei Lee (Academic Sinica, Taiwan) Title: "The mean curvature flow of compact submanifolds in higher codimension" Abstract: PDF Mikiya MasudaiOsaka City Univ., Japan) Title: "Iterated circle bundles" Abstract: PDF @@@ Qing-Ming ChengiSaga Univ., Japan) Title: "Estimates for eigenvalues on complete Riemannian manifolds" Abstract: In this talk, we consider the Dirichlet eigenvalue problem of the Laplacian on a bounded domain in complete Riemannian manifolds. Estimates for eigenvalues will be discussed. We will talk about the conjecture of Polya for the lower bounds for eigenvalues on a bounded domain in Euclidean spaces and the generalized conjecture of Polya for the lower bounds of eigenvalues on a bounded domain in complete Riemannian manifolds. In order to obtain the lower bounds of eigenvalues, we need to have sharper universal inequalities for eigenvalues and the recursion formula of Cheng and Yang (Math. Ann. 2007). Furthermore, we will deal with the upper bounds for eigenvalues. In particular, for lower order eigenvalues, we will discuss the conjectures of Payne, Polya and Weinberger and their generalizations. @@@@ Ryushi GotoiOsaka Univ., Japan) Title: "Holomorphic Poisson and generalized Kahler structures" Abstract: First I will give a brief introduction of generalized complex and generalized Kaehler geometry. Deformations of generalized complex and generalized Kahler structures are disc ussed. Holomorphic Poisson structures gives rise to intriguing generalized Kaehler structures. Next I will construct Ricci-flat conical Kaehler metrics on crepant resolutions of Sasaki-Einstein cones in every Kaehler class. Applying the deformation method by Poisson structures in generalized geometry, I will deform ordinary Calabi-Yau structures to obtain generalized Calabi-Yau metrical structures on the crepant resolution. @@@@ Yasuyuki NagatomoiKyushu Univ., Japan) Title: "Harmonic maps into Grassmannians and its applications to isoparametric functions and moduli problems" Abstract: PDF @@@@ Yoshie Sugiyama iTsuda College, Japan) Title: "Measure valued solutions of the 2D Keller-Segel system" Abstract: We deal with the two-dimensional Keller-Segel system describing chemotaxis in a bounded domain with smooth boundary under the nonnegative initial data. As for the Keller-Segel system, the \$L^1\$ norm is the scaling invariant one for the initial data, and so if the initial data is sufficiently small in \$L^1\$, then the solution exists globally in time. On the other hand, if its \$L^1\$ norm is large, then the solution blows up in a finite time. The first purpose of my talk is to construct a time global solution as a measure valued function beyond the blow-up time even though the initial data is large in \$L^1\$. The second purpose is to show the existence of two measure valued solutions of the different type depending on the approximation, while the classical solution is unique before the blow-up time. @@@@ Yohei SatoiOCAM I, Japan) Title:"The existence and non-existence of positive solutions for the nonlinear Schroedinger equations" Abstract: PDF @@@@ Kensuke Onda iNagoya Univ. & OCAM I, Japan) Title: "Sol-solitons on Lorentzian manifolds" Abstract: J. Lauret introduced Sol-soliton and studied in the Riemannian framework. Sol-solitons have relevance to Ricci solitons, that is fixed point of the Ricci flow. We study sol-soliton theory and use it to give sol-solitons and Ricci solitons on Lorentzian manifolds. @@@@ Yohsuke Imagi iD1, Kyoto Univ., Japan) Title: "A Uniqueness Theorem for Gluing Special Lagrangian Submanifolds" Abstract: Butscher, D. Lee, Y. Lee, and Joyce constructed a special Lagrangian submanifold by gluing a Lawlor neck into a transverse intersection point of two special Lagrangian submanifolds. I talk about a uniqueness theorem for the gluing of flat special Lagrangian tori of real dimension 3 in a flat complex torus of complex dimension 3. @@@@ Saki Okuhara iD1, Tokyo Metropolitan Univ., Japan) "Special Lagrangian 3-folds via harmonic maps" Abstract: Special Lagrangian cones in \${\mathbb{C}}^3\$ can be constructed from certain harmonic maps into a 6-symmetric space. We will review this process which was derived by Joyce and McIntosh, and use it to give a new construction of special Lagrangian cones in \${\mathbb{C}}^3\$. @@@@ Hitoshi YamanakaiD2, Osaka City Univ., Japan) Title: "Intersection of stable and unstable manifolds for invariant Morse functions" Abstract: In Witten's Morse theory, it is important to consider the negative gradient flows which connect two critical points whose Morse indices differ by 1. However there are too many examples of Morse functions which have no such pairs of critical points. In the case of an invariant Morse-Smale function, we investigate the intersection of a stable and an unstable manifold which corresponds to a pair of critical points whose Morse indices differ by 2. We also consider the group action on it.

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vO F program

 3/13ij AM 10:00-10:50 wu (3040)@ Mikiya Masudai50j Slides of Talk AM 11:10-12:00 wu (3040) Yng-Ing Leei50) Slides of Talk PM 13:30-14:20 wu (3040) Kuo-Wei Leei50) Slides of Talk PM 14:30-15:20 wu (3040) Tai-Chia Lini50j Slides of Talk PM 15:40-16:30 wu (3040) Yoshie Sugiyamai50j Slides of Talk PM 16:40-17:30 wu (3040) Yohei Sato i50j Slides of Talk 3/14ij AM 9:30-10:20 wu (3040) Su-Jen Kani50) AM 10:30-11:20 wu (3040) Ryushi Gotoi50) AM 11:30-12:20 wu (3040) Chiung-Ju Liui50) Slides of Talk PM 14:00-14:50 wu (3040) Kensuke Ondai50) Slides of Talk PM 15:00-15:40 wu (3040) Hitoshi Yamanakai40) Slides of Talk PM 16:00-16:40 wu (3040) Saki Okuharai40) Slides of Talk PM 16:50-17:30 wu (3040) Yohsuke Imagii40) 3/15i΁j AM 9:30-10:20 wu (3040) Wu-yen Chuangi50j AM 10:30-11:20 wu (3040) Yasuyuki Nagatomoi50j Slides of Talk AM 11:30-12:20 wu (3040) Ting-Hui Changi50j Slides of Talk PM 13:40-14:30 wu (3040) Qing-Ming Cheng (50) Slides of Talk

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 NF sww sw w@w w pw吔wȊwS TIMS TIMS One-Day Workshop on Differential Geometry (April 1, 2008) 1sww-吔wȊwS ۃ[NVbv u􉽊wƊ􉽉́v (March 9-10, 2009) 2吔wȊwS-sww ۃ[NVbv u􉽊wƊ􉽉́v (March 21-23, 2010) |X^[ ֐CZ^[(Kansai Kenshu Center-KKC)

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₢킹ie-mailj
mc@`T F ohnita (at) sci.osaka-cu.ac.jp
@ F futoshi (at) sci.osaka-cu.ac.jp

̂ Last updated on 14/March/2011