筑波大学 解析セミナー
- Seminar on Analysis at University of Tsukuba -
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