ochiai/pv_abstract
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開始行:
[[back to conference page>ochiai/pv]]
- Hideyuki Ishi (Nagoya)
--Analysis on regular convex cones associated to decompos...
--Regular convex cones of positive definite real symmetri...
prescribed zero entries
have been studied intensively in multivariate statistics....
out that analysis on the cone is quite
feasible if the zero pattern corresponds to a decomposabl...
Indeed, an explicit formula is known
for the Fourier-Laplace transform of a product of powers ...
over the cone. Inspired by these statistic works,
we develop analysis on the cone in a similar way to theor...
homogeneous cones. In particular, we consider
Riesz distributions on the cone and associated b-functions.
-Yumiko Hironaka (Waseda)
--Spherical functions on certain $p$-adic homogeneous spa...
relation to PV-theory
--First I want to introduce a typical spherical function ...
homogeneous space $X$, and give its expression formula by...
functional equations of sph. f's and data of the group. I...
everything is assumed to be defined over a $\mathfrak{p}$...
Typical sph. f's are obtained by Poisson transform from r...
$P$-invariant on $X$, where $P$ is a minimal parabolic th...
open orbit in $X$ over $\overline{k}$, and their function...
are often reduced to those for certain limited type of pr...
vector spaces.
Then I want to discuss about some spaces of sesquiliear f...
explicit formulas of sph.f's by using specialized Hall-Li...
polynomials associated to the root system, parametrizatio...
sph.f's, and Plancherel formula.
(The latter half is joint work with Y. Komori.)
-Koichi Takase (Miyagi)
--On spherical functions of supercuspidal representations...
--We will consider the spherical function of a square-int...
-Jean-Louis Clerc (Lorraine)
--Conformally invariant trilinear forms on the sphere
--Given three scalar principal series representations of ...
-Salah Mehdi (Lorraine)
--Representation theoretic differential operators
--We will discuss several results on representations of L...
related to invariant differential operators on homogeneou...
with an emphasis on Dirac operators. If time allows, we w...
some connections between Dirac operators and coherent fam...
-Pascale Harinck (CNRS)
--Fourier transform of the Schwartz space of a $p$-adic r...
--Let $X=H\backslash G$ be a $p$-adic reductive symmetric...
In this talk, I will explain a joint work with Y.Sakellar...
-Robert J. Stanton (Ohio)
--Extensions on real bounded symmetric domains
--The real bounded symmetric domains were classified by H...
-Marcus J. Slupinski (Strasbourg)
--Symplectic goemetry of spinors in $12$-dimensions
--The spinor representations of the double cover of the o...
-Fumihiro Sato (Rikkyo)
--Automorphic pairs of distributions on prehomogeneous ve...
--Let $(G,\rho,V)$ be a regular prehomogeneous vector spa...
$\mathbb Q$ and $(G,\rho^*,V^*)$ its dual.
Denote by $\Omega$ and $\Omega^*$ the open orbits of $(G,...
$(G,\rho^*,V^*)$, respectively.
A pair of periodic distributions $T$ on $V_{\mathbb R}$ ...
$V^*_{\mathbb R}$ is called automorphic, if $T$ and $T^*$
satisfy $T(f)=T^*(f_\infty)$ for any $f \in C^\infty_0(\O...
where $f_\infty$ is defined by $f_\infty(\mathrm{grad} \l...
relative invariant $P$.
For an automorphic pair $(T,T^*)$ on a pv of commutative ...
Dirichlet series with functional equation can be associat...
As an application functional equations of zeta functions ...
(non-prehomogeneous) forms of degree 4 will be proved. Th...
(This is a joint work with K.Tamura, K.Sugiyama, T.Miyaza...
-Kyo NISHIYAMA (AGU)
--Robinson-Schensted-type correspondence over mirabolic d...
--We consider the conormal variety (or the Steinberg vari...
If the double flag variety has finitely many $ K $-orbits...
On the other hand, if we consider the image of a moment m...
It turns out this whole picture is strongly related to th...
We will discuss the RS-type correspondence as well as the...
This is an on-going joint work with Lucas Fresse.
-Takashi Taniguchi (Kobe)
--Second order terms in some arithmetic functions
--Using the zeta functions of PV's (prehomogeneous vector...
-Kohji Matsumoto (Nagoya)
--Zeta-functions of root systems and Poincaré poly...
--A useful way of evaluating special values of zeta-funct...
-Toshiyuki Kobayashi (Tokyo)
--Symmetry breaking operators for rank one orthogonal gro...
--I give a classification of all symmetry breaing operators
that intertwines two spherical principal series represent...
groups $O(n+1,1)$ to $O(n.1)$. This is a joint work with...
-Akihiko Yukie (Kyoto)
--On orbits of prehomogeneous vector spaces
--We consider orbits of prehomogeneous vector spaces in v...
situations. We first consider prehomogeneous vector space...
the group is not necessarily split over a perfect field a...
that the set of unstable points can be stratified by the ...
of GIT. Then we consider the question of orbits of preho...
vector spaces over the p-adic integer ring and show in so...
orbits can be classified.
-Tamotsu Ikeda (Kyoto)
--PV and Siegel series
--We review the theory of Siegel series, and show that th...
-Sofiane Souaifi (Strasbourg)
--Paley-Wiener theorem(s) for real reductive Lie groups
--In the early 80's, J. Arthur proved the Paley-Wiener th...
To describe the Fourier transform of the space of compact...
he uses the so-called Arthur-Campoli relations. More rece...
gave another proof of the Paley-Wiener theorem. His descr...
of intertwining conditions.
In a joint work with E. P. van den Ban, we make a detaile...
-Gautam Chinta
--Whittaker functions and Shintani zeta functions
-- I will discuss some examples of coincidences between
Shintani zeta functions and Whittaker functions of Eisens...
series on metaplectic double covers of linear groups. I ...
also describe some applications to number theory and sugg...
prospects for further study.
終了行:
[[back to conference page>ochiai/pv]]
- Hideyuki Ishi (Nagoya)
--Analysis on regular convex cones associated to decompos...
--Regular convex cones of positive definite real symmetri...
prescribed zero entries
have been studied intensively in multivariate statistics....
out that analysis on the cone is quite
feasible if the zero pattern corresponds to a decomposabl...
Indeed, an explicit formula is known
for the Fourier-Laplace transform of a product of powers ...
over the cone. Inspired by these statistic works,
we develop analysis on the cone in a similar way to theor...
homogeneous cones. In particular, we consider
Riesz distributions on the cone and associated b-functions.
-Yumiko Hironaka (Waseda)
--Spherical functions on certain $p$-adic homogeneous spa...
relation to PV-theory
--First I want to introduce a typical spherical function ...
homogeneous space $X$, and give its expression formula by...
functional equations of sph. f's and data of the group. I...
everything is assumed to be defined over a $\mathfrak{p}$...
Typical sph. f's are obtained by Poisson transform from r...
$P$-invariant on $X$, where $P$ is a minimal parabolic th...
open orbit in $X$ over $\overline{k}$, and their function...
are often reduced to those for certain limited type of pr...
vector spaces.
Then I want to discuss about some spaces of sesquiliear f...
explicit formulas of sph.f's by using specialized Hall-Li...
polynomials associated to the root system, parametrizatio...
sph.f's, and Plancherel formula.
(The latter half is joint work with Y. Komori.)
-Koichi Takase (Miyagi)
--On spherical functions of supercuspidal representations...
--We will consider the spherical function of a square-int...
-Jean-Louis Clerc (Lorraine)
--Conformally invariant trilinear forms on the sphere
--Given three scalar principal series representations of ...
-Salah Mehdi (Lorraine)
--Representation theoretic differential operators
--We will discuss several results on representations of L...
related to invariant differential operators on homogeneou...
with an emphasis on Dirac operators. If time allows, we w...
some connections between Dirac operators and coherent fam...
-Pascale Harinck (CNRS)
--Fourier transform of the Schwartz space of a $p$-adic r...
--Let $X=H\backslash G$ be a $p$-adic reductive symmetric...
In this talk, I will explain a joint work with Y.Sakellar...
-Robert J. Stanton (Ohio)
--Extensions on real bounded symmetric domains
--The real bounded symmetric domains were classified by H...
-Marcus J. Slupinski (Strasbourg)
--Symplectic goemetry of spinors in $12$-dimensions
--The spinor representations of the double cover of the o...
-Fumihiro Sato (Rikkyo)
--Automorphic pairs of distributions on prehomogeneous ve...
--Let $(G,\rho,V)$ be a regular prehomogeneous vector spa...
$\mathbb Q$ and $(G,\rho^*,V^*)$ its dual.
Denote by $\Omega$ and $\Omega^*$ the open orbits of $(G,...
$(G,\rho^*,V^*)$, respectively.
A pair of periodic distributions $T$ on $V_{\mathbb R}$ ...
$V^*_{\mathbb R}$ is called automorphic, if $T$ and $T^*$
satisfy $T(f)=T^*(f_\infty)$ for any $f \in C^\infty_0(\O...
where $f_\infty$ is defined by $f_\infty(\mathrm{grad} \l...
relative invariant $P$.
For an automorphic pair $(T,T^*)$ on a pv of commutative ...
Dirichlet series with functional equation can be associat...
As an application functional equations of zeta functions ...
(non-prehomogeneous) forms of degree 4 will be proved. Th...
(This is a joint work with K.Tamura, K.Sugiyama, T.Miyaza...
-Kyo NISHIYAMA (AGU)
--Robinson-Schensted-type correspondence over mirabolic d...
--We consider the conormal variety (or the Steinberg vari...
If the double flag variety has finitely many $ K $-orbits...
On the other hand, if we consider the image of a moment m...
It turns out this whole picture is strongly related to th...
We will discuss the RS-type correspondence as well as the...
This is an on-going joint work with Lucas Fresse.
-Takashi Taniguchi (Kobe)
--Second order terms in some arithmetic functions
--Using the zeta functions of PV's (prehomogeneous vector...
-Kohji Matsumoto (Nagoya)
--Zeta-functions of root systems and Poincaré poly...
--A useful way of evaluating special values of zeta-funct...
-Toshiyuki Kobayashi (Tokyo)
--Symmetry breaking operators for rank one orthogonal gro...
--I give a classification of all symmetry breaing operators
that intertwines two spherical principal series represent...
groups $O(n+1,1)$ to $O(n.1)$. This is a joint work with...
-Akihiko Yukie (Kyoto)
--On orbits of prehomogeneous vector spaces
--We consider orbits of prehomogeneous vector spaces in v...
situations. We first consider prehomogeneous vector space...
the group is not necessarily split over a perfect field a...
that the set of unstable points can be stratified by the ...
of GIT. Then we consider the question of orbits of preho...
vector spaces over the p-adic integer ring and show in so...
orbits can be classified.
-Tamotsu Ikeda (Kyoto)
--PV and Siegel series
--We review the theory of Siegel series, and show that th...
-Sofiane Souaifi (Strasbourg)
--Paley-Wiener theorem(s) for real reductive Lie groups
--In the early 80's, J. Arthur proved the Paley-Wiener th...
To describe the Fourier transform of the space of compact...
he uses the so-called Arthur-Campoli relations. More rece...
gave another proof of the Paley-Wiener theorem. His descr...
of intertwining conditions.
In a joint work with E. P. van den Ban, we make a detaile...
-Gautam Chinta
--Whittaker functions and Shintani zeta functions
-- I will discuss some examples of coincidences between
Shintani zeta functions and Whittaker functions of Eisens...
series on metaplectic double covers of linear groups. I ...
also describe some applications to number theory and sugg...
prospects for further study.
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