筑波大学 解析セミナー

- Seminar on Analysis at University of Tsukuba -

今までのセミナー(2017年度)

日  時:  3 月 9 日(金) 17時 〜 18時
    
講 演 者: Jean Vaillant 氏 (University of Paris VI)

題  目: Necessary conditions of hyperbolicity and Gevrey's classes

日  時:  11 月 22 日(水) 15時 30分 〜 17時 40分
    
講 演 者: 田中 仁 氏 (筑波技術大学)

題  目: The n-linear embedding theorem for dyadic rectangles

講 演 者: Thorben Krietenstein 氏 (Leibniz Universitat)

題  目: Bounded H∞-calculus for a Degenerate Elliptic Boundary Value Problem

日  時:  11 月 01 日(水) 16時 30分 〜 18時
    
講 演 者: 洞 彰人 (北海道大学大学院理学研究院 教授)

題  目: 群論的なヤング図形集団における巨視的プロファイルとゆらぎの動的モデル

日  時:  9 月 20 日(水) 15時 30分 〜 17時
    
講 演 者: Michael Dreher 氏 (University of Rostock)

題  目: Incompressible limits for generalisations to symmetrisable systems

日  時:  8 月 4 日(金) 16時 30分 〜 17時 30分
    
講 演 者: Jens Christensen 氏 (Colgate University, USA)

題  目: Wavelet theory with an application to complex analysis

講演要旨:
Wavelet theory has been an active area of research for around 40 years. In this talk we first present a machinery, called coorbit theory, which uses continuous wavelet transforms in order to provide atomic decompositions for a large collection of Banach spaces. The theory was initiated by Feichtinger and Groechenig, but we present a recent generalization which is more widely applicable. Next we present an application to complex analysis. Due to work by Rudin, Coifman and Rochberg as well as Luecking, it has long been known that Bergman spaces have atomic decompositions, where the atoms are samples of the Bergman kernel. We use coorbit theory to provide a much larger class of atoms for Bergman spaces on the unit ball. This class of atoms includes translates of polynomials under the discrete series representation of SU(n,1).

日  時:  7 月 18 日(火)  16時40分 〜 17時40分
    
講 演 者: Salvatori Niccolo 氏 (King's College London)

題  目: The Residue Analytic Torsion and Logarithmic Topological Quantum Field Theory

講演要旨:
Closed odd-dimensional manifolds with trivial cohomology can be distinguished by their analytic torsion (a secondary topological invariant introduced by Ray and Singer in 1971 that coincides with the Reidemeister torsion). In this talk, we will show that analytic torsion can be equivalently obtained by the (quasi) trace of a log-polyhomogenous operator and, by the use of Wodzicki's residue, we will define and study an exotic torsions: the residue analytic torsion, which turns out to be a smooth invariant in some occasions, with properties that are complementary to those of the analytic torsion. Then, we will define the new concept of LogTQFT and use the residue torsion to provide an example. If time allows, we will present a generalization of the previous results to families of closed manifolds and to manifolds with boundary.




Seminar on Analysis at University of Tsukuba