Hiroaki Terao(寺尾宏明)'s
Page
Professor of Mathematics, Hokkaido
University
Last Updated on 2011.12.10

Lilac and Baxter
Office Address
Departments of Mathematics
Hokkaido University
North 10, West 8, Kita-ku,
Sapporo, 060-0810, JAPAN
(011) 706-4499 (phone/fax)
hterao00((at))za3.so-net.ne.jp
My vita
is here (PDF 63KB : as of 2011.11.16)
Books
- Arrangements of Hyperplanes
. (xviii
+ pp.325) (with Peter Orlik) Grundlehren der
mathmetischen Wissenschaften 300, Springer-Verlag, Berlin-Heidelberg-New
York, 1992
- Arrangements - Tokyo 1998. (pp.278)Advanced
Studies in Pure Math., 27,
(ed. M. Falk, H. Terao) , Kinokuniya, Tokyo, 2000.
- Arrangements and
hypergeometric integrals. (ix + pp.112) (with
Peter Orlik) MSJ Memoir, 9,
Mathematical Society of Japan, Tokyo, 2001/2007 (second edition).
(This book may be difficult to get by.
Contact me at hterao00(at)za3.so-net.ne.jp if you would like to get
a copy of this.)
- 不変量とはなにか
― 現代数学のこころ (pp.246)
(今井 淳・寺尾宏明・中村博昭著) ブルーバックス 1393,
講談社 ; ISBN: 4062573938, Nov. 2002.
- 線形代数 ― 講義と演習(pp. 171)
(小林正典・寺尾宏明著)
培風館 ; ISBN: 9784563003739, Apr. 2007.
正誤表 (2010.04.16)
-
Arrangements of Hyperplanes
- Sapporo, 2009.
Advanced
Studies in Pure Math.,
62,
(ed. H. Terao, S. Yuzvinsky) , The Mathematical Society of Japan,
Tokyo (to appear).
Publications (2002- )
- Moduli space of
combinatorially equivalent arrangements of hyperplanes
and logarithmic Gauss-Manin connections.
Topology and its
appl. 118 (2002), 255-274
(PDF 327KB)
doi:10.1016/S0166-8641(01)00054-2
- Multiderivations of
Coxeter arrangements.
Inventiones mathematicae 148 (2002), 659-674
doi: 10.1007/s002220100209
- Algebras generated by
reciprocals of linear forms.
Journal of Algebra
250 (2002), 549-558
doi:10.1006/jabr.2001.9121
- The Poincar\'e series
of the algebra of rational functions which are
regular outside hyperplanes. (with H. Horiuchi)
Journal of Algebra
266 (2003), 169-179
doi:10.1016/S0021-8693(03)00330-2
- Bases of the contact-order filtration of derivations of Coxeter
arrangements.
Proc. AMS
133 (2005), 2029-2034
doi: 10.1090/S0002-9939-05-07767-1
- The Hodge filtration and the contact-order filtration of
derivations of Coxeter arrangements.
Manuscripta Math.
118 (2005), 1-9
doi: 10.1007/s00229-004-0536-z
- Edelman-Reiner予想の解決について.
第6回代数群と量子群の表現論研究集会報告集, 2003, 101-110
(PDF 93KB)
- 超平面配置と ranking -数学と社会科学のひとつの接点-.
第48回代数学シンポジウム報告集, 2003, 69-77
(PDF 88KB)
- Arrangements and ranking patterns.
(with H. Kamiya, P. Orlik, A. Takemura)
Annals of Combinatorics,
10 (2006), 219-235
doi: 10.1007/s00026-006-0284-8
- 超平面配置と特異点.
「数学のたのしみ」, 2005, 秋, 日本評論社, 65--79
- 超平面配置入門
-特に、自由超平面配置について -.
数理研講究録 2006
(PDF 88KB)
-
Chambers of Arrangements of
Hyperplanes and Arrow's Impossibility Theorem.
Advances in Math. 214 (2007), 366-378
doi:10.1016/j.aim.2007.02.006
- The characteristic polynomial of a
multiarrangement.
(with T. Abe, M. Wakefield)
Advances in Math. 215 (2007), 825-838
doi:10.1016/j.aim.2007.04.019
- The Euler
multiplicity
and the addition-deletion theorems for
multiarrangements.
(with T. Abe, M. Wakefield)
J. London Math. Soc. (2)
77
(2008), 335-348
doi: 10.1112/jlms/jdm110
-
A correction to ``Bases of the contact-order filtration of
derivations of Coxeter arrangements.''
Proc. Amer. Math. Soc.
136
(2008), 2639-2639
doi:10.1090/S0002-9939-08-09477-X
- Periodicity of hyperplane arrangements
with integral coefficients modulo positive integers.
(with H. Kamiya, A. Takemura)
J. Alg. Combin.
27
(2008), 317-330
doi:10.1007/s10801-007-0091-2
-
Totally free arrangements of hyperplanes.
(with T. Abe, M. Yoshinaga)
Proc. Amer. Math. Soc.
137
(2009), 1405-1410
doi:10.1090/S0002-9939-08-09755-4
- The characteristic quasi-polynomials of
the arrangements of root systems and mid-hyperplane arrangements.
(with H. Kamiya, A. Takemura)
in:
Progress in Math.
283,
``Arrangements, local systems and singularities,''
Lecture Notes of a 2007 CIMPA Summer School held at
Galatasaray University (Istanbul), Jun. 11-22, 2007,
(ed. F. Elzein, A. Suciu, M. Tosun, A. M. Uludag, S. Yuzvinsky),
Birkhauser, 177-190, 2010
doi:10.1007/978-3-0346-0209-9
-
A primitive derivation and logarithmic differential forms
of Coxeter arrangements.
(with T. Abe)
Math. Z.
264
(2010), 813-828
doi: 10.1007/s00209-009-0489-8
-
Primitive filtrations of the modules of
invariant logarithmic forms of Coxeter arrangements.
(with T. Abe)
Journal of Algebra,
330
(2011), 251-262
doi:10.1016/j.jalgebra.2010.12.010
-
Ranking patterns of unfolding models of codimension one.
(with H. Kamiya, A. Takemura)
Advances in Applied Mathematics,
47
(2011), 379-400
doi:10.1016/j.aam.2010.11.002
-
The freeness of Shi-Catalan arrangements.
(with T. Abe)
European J. Combin.
32
(2011), 1191-1198
doi:10.1016/j.ejc.2011.06.005
- Periodicity of non-central integral arrangements modulo positive integers.
(with H. Kamiya, A. Takemura)
Annals of Combinatorics,
15
(2011), 449-464
doi: 10.1007/s00026-011-0105-6
-
The Shi arrangements and the Bernoulli polynomials.
(arXiv:1103.3214)
(with D. Suyama)
Bull. London Math. Soc.
(to appear)
doi: 10.1112/blms/bdr118
-
Arrangements stable under the Coxeter groups.
(arXiv:1103.5179)
(with H. Kamiya, A. Takemura)
in:
``Configuration Spaces: Geometry, Topology and Combinatorics,''
Proceedings of a special period
at the De Giorgi Center,
Scuola Normale in Pisa, May - June, 2010,
Birkhauser
(to appear)
-
Equivariant multiplicities of Coxeter arrangements and invariant bases.
(arXiv:1011.0329)
(with T. Abe, A. Wakamiko)
preprint
-
The Shi arrangement of the type $D_\ell$.
(arXiv:1109.1381)
(with R. Gao, D. Pei)
preprint
-
Simple-root bases for Shi arrangements.
(arXiv:1111.3510)
(with T. Abe)
preprint
Research Interest
- Arrangements of hyperplanes,
especially relations with local system cohomology and
hypergeometric functions, Reflection groups
Talks (2005-)
-
Free arrangements of hyperplanes,
Periods
-Around the Theory of Primitive Forms-
In Honor of Professor Kyoji Saito on his Sixtieth Birthday,
Research Institute for Mathematical Sciences (RIMS)
Kyoto University,
January 26, 2005
-
Arrangements of hyperplanes and hypergeometric integrals,
Applications of singularities workshop at CIRM,
Marseille Luminy, February 7, 2005
-
What makes arrangements free?
Euroconferences in Mathematics on Crete,
Algebraic and Geometric Combinatorics,
Anogia, Greece, August 21, 2005
-
超平面配置入門 - 特に、自由超平面配置について -,
Recent Topics on Real and Complex Singularities,
Research Institute for Mathematical Sciences (RIMS)
Kyoto University,
November 28, 2005
-
Multiderivations of Coxeter Arrangements of Type $B_\ell$
and Primitive Derivations,
Colloquium,
Northern Arizona University,
Feb. 17, 2006
-
カタラン数の語る数学の世界
(Enumerative Combinatorics 入門)
北海道大学高校生講座
Jul. 31, 2006
-
Multiderivations of Coxeter Arrangements of Type $B_\ell$
and Primitive Derivations,
Geometry and Analysis on Complex Algenbraic Varieties,
Joint RFBR-JSPS Symposium,
Moscow Independent University,
Aug. 17, 2006
-
Chambers of arrangements of hyperplanes and
Arrow's impossibility theorem,
Development of Computational Algebraic Statistics,
Research Institute for Mathematical Sciences (RIMS)
Kyoto University,
Nov. 8, 2006
-
Chambers of arrangements of hyperplanes and
Arrow's impossibility theorem,
Colloquium,
Okayama University,
Nov. 9, 2006
-
Basic properties of multiarrangements,
Geometry and analysis on complex varieties,
Research Institute for Mathematical Sciences (RIMS)
Kyoto University,
Dec. 13, 2006
-
Chambers of arrangements of hyperplanes and
Arrow's impossibility theorem,
American Mathematical Society, Annual Meeting,
special session on Arrangements and Related Topics,
New Orleans Sheraton, New Orleans, LA, USA,
Jan. 6, 2007.
(slides available in pdf format)
-
Chambers of arrangements of hyperplanes and
Arrow's impossibility theorem,
Braids and their Ramifications -
Configuration Spaces, Arrangements, Mapping, Mapping-Class groups, 3-Manifolds,
Cortona, Italy,
May 24, 2007.
(slides available: download
this file (dvi).
You also need to download and save
this file
as zu1.eps.)
-
The characteristic polynomials of (multi)arrangements,
CIMPA summer school ALS \& S 2007,
Arrangements and Local Systems,
Istanbul, Turkey,
June 15, 2007.
-
The characteristic quasi-polynomial of integral
arrangements and root systems,
CIMPA summer school ALS \& S 2007,
Arrangements and Local Systems,
Istanbul, Turkey,
June 15, 2007.
-
Periodicity of integral arrangements modulo positive integers,
Several Aspects of Hyperplane Arrangements,
Kobe, Japan,
Feb. 4, 2008.
-
On the free multiarrangements,
Several Aspects of Hyperplane Arrangements,
1037TH American Mathematical Society Meeting,
special session on Arrangements and Related Topics,
Louisiana State University, Baton Rouge, LA, USA,
Mar. 28, 2008
-
On the free multiarrangements,
Millican Lecture, Colloquium,
University of North Texas, May 2, 2008
-
Totally free arrangements of hyperplanes,
Conference in Honour of Peter Orlik,
Fields Institute, Toronto, Canada,
Aug. 19, 2008
-
Periodicity of hyperplane arrangements
with integral coefficients modulo positive integers,
Finite Groups, vertex operator algebras and
combinatorics,
RIMS, Kyoto University,
Jan. 6, 2009
-
Mathematics related to hyperplane arrangements,
Geometry of singularities and related topics,
Tokyo University of Science,
Mar. 13, 2010
-
Mathematics related to hyperplane arrangements,
special one-hour lecture by an Algebra Prize recipient,
MSJ Annual Meeting, Keio
University, Yokohama,
Mar. 26, 2010
-
Combinatorial and algebro-geometric properties of free arrangements,
an invited one-hour talk,
Workshop on
"Algebra and Geometry of
Configuration Spaces and related structures"
June 21 - 25, 2010,
Centro di ricerca matematica Ennio De Giorgi,
Pisa, Italy,
June 22, 2010
-
The Shi arrangements and the Bernoulli numbers,
an invited talk at the
Special Session on
"The Algebraic Geometry and
Topology of Hyperplane Arrangements"
at an AMS Sectional Meeting,
April 9-10, 2011,
College of the Holy Cross, Worcester, MA, USA,
April 9, 2011
-
Simple bases for the logarithmic derivation modules
of the generalized Shi arrangements,
an invited talk at
"Topics in the Theory of Weyl Groups and Root Systems
(Sekiguchi 60),"
September 20-22, 2011,
University of Tokyo,
September 20, 2011
Prize
Teaching 2011 1学期
-
線形代数学T
,
Monday 14:45-16:15, E308
-
代数学B
,
Wednesday 10:30-12:00, 3-204
Teaching 2011 2学期
Office Hours
Links