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Seminar & Colloquium

Seminar & Colloquium 게시글의 상세 화면
제목 [2018/05/25] AORC Monthly seminar
작성자 관리자 등록일 2018-05-25 조회수 290

- Time : May 25(Fri), 15:00 - 18:30 pm

- Venue : AORC Seminar Room

- Speakers :

   15:00 - 15:50 : Juyoung Jeong (University of Maryland, Baltimore County)
       Commutation principles in Euclidean Jordan algebras and normal decomposition systems

  -Abstract :
The commutation principle of Ramirez, Seeger, and Sossa proved in the setting of Euclidean Jordan algebras says that when the sum of a Frechet differentiable function Q and a spectral function F is minimized (maximized) over a spectral set W, any local minimizer (respectively, maximizer)
a operator commutes with the Frechet derivative Q0(a). In this paper, we extend this result to sets and functions which are (just) invariant under algebra automorphisms. We also consider a similar principle in the setting of normal decomposition systems.


    16:00 - 16:40 : C.A. Morales (Universidade Federal do Rio de Janeiro)
            Gromov-Hausdorff perturbations of dynamical systems

  -Abstract :
Theory of Gromov-Hausdorff spaces has a number of applications including collapsing Riemannian manifolds, Ricci flow and Poincare Conjecture. In this lecture we present some applications of Gromov-Hausdorff theory in topological and measurable dynamics.
Joint work with K. Lee and M. Dong.


     16:50 - 17:30 : Keonhee Lee (Chungnam National University)

             Spectral decomposition and W-stability of flows with expanding measures

  -Abstract :
Recently, the notion of expansive measure for flows was introduced by Carrasco-Olivera and Morales in [JDE 256 (2014), 2246–2260]. In this talk, we introduce a concept of expanding measure for flows motivated by the notion of strong expansive measure for homeomorphisms by Cordeiro, Denker
and Zhang in [DCDS 37 (2017), 1941–1957], and study the dynamics of flows with various expanding measures on compact metric spaces. More precisely, we prove that any measure expanding flow with shadowing measure has the spectral decomposition, and give an example to show that a measure expansive flow with shadowiing measure does not have the spectral decomposition. Moreover we claim that the integrated flow Xt of a C1 vector field X without singularities on a compact C¥ manifold is C1 stably invariantly measure expanding if and only if it is W-stable. Finally it is shown that C1-generally, the integrated flow Xt is invariantly measure expanding if and only if it is W-stable.
Joint work with N.T. Nguyen

Seminar & Colloquium 게시판의 이전글 다음글
이전글 [2018/05/28-06/01] Seminars and Talks of this week
다음글 [2018/05/24] Dr. Seung-IL Choi (Seoul National Univ.)