Hiroaki Terao(寺尾宏明)'s
Page
Professor Emeritus, Hokkaido
University (北海道大学 名誉教授)
Last Updated on 2022.06.09
Lilac (1996-2015)
Baxter (2001-2017)
Dora (2015- )
My vita
is here (PDF 112KB : as of 2022.06.08)
Books
- Arrangements of Hyperplanes
. (xviii
+ pp.325) (Peter Orlik, Hiroaki Terao) Grundlehren der
mathmetischen Wissenschaften 300, Springer-Verlag, Berlin-Heidelberg-New
York; ISBN-10: 3540552596 ISBN-13: 978-3540552598, 1992
- Arrangements - Tokyo 1998. (pp.278)
Proceedings of an MSJ-Regional Workshop
on Mathematics Related to Arrangements of
Hyperplanes, Tokyo Metropolitan Univ., 1998,
Advanced
Studies in Pure Math., 27,
(ed. M. Falk, H. Terao) , Kinokuniya, Tokyo;
ISBN-10: 4-314-10140-7
ISBN-13: 978-4-314-10140-0, 2000
- Arrangements and
hypergeometric integrals. (ix + pp.112)
(Peter Orlik, Hiroaki Terao) MSJ Memoir, 9,
Math. Soc. Japan, Tokyo; ISBN:
4931469108 ISBN-13:9784931469105, 2001/2007 (second edition)
(This book may be hard to come 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
- 不変量と対称性: 現代数学のこころ (pp.292)
(今井 淳・寺尾宏明・中村博昭著) ちくま学芸文庫,
筑摩書房 ; ISBN: 4480095217, Mar. 2013
(本書は『不変量とはなにか ― 現代数学のこころ』(今井 淳・寺尾宏明・中村博昭著,ブルーバックス 1393,講談社) の改訂版です.)
正誤表 (2018.02.20)
- 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. (pp.570)
Proceedings of the Second MSJ-SI, Hokkaido University,
Sapporo, 2009,
Advanced Studies in Pure Math.,
62,
(ed. H. Terao, S. Yuzvinsky), Math. Soc. of Japan,
Tokyo;
ISBN:9784931469679,
March 2012
- 線形代数 ― 講義と演習 改訂版(pp. 189)
(小林正典・寺尾宏明著)
培風館 ; ISBN: 9784563004873, Feb. 2014
Publications
-
Forms with logarithmic pole and the filtration by the order of the pole.
Proc. Intern. Sympo. on Algebraic Geometry
Kyoto, 1977, Kinokuniya, Tokyo, 1978, 673-685
-
The rational forms on the weighted projective space and the filtration by the order of pole.
Sci. Papers of the Coll. of Gen. Ed. Univ. of Tokyo
28, no.2 (1978), 153-158
URI: http://hdl.handle.net/2261/21140
-
Arrangements of hyperplanes and their freeness I.
J. Fac. Sci. Univ. Tokyo Sect. 1 A, Math.
27 (1980), 293-312
URI: http://hdl.handle.net/2261/6266
-
Arrangements of hyperplanes and their freeness II -the Coxetor equality-.
J. Fac. Sci. Univ. Tokyo Sect. 1 A, Math.
27 (1980), 313-320
URI: http://hdl.handle.net/2261/6267
-
Free arrangements and unitary reflection groups.
Proc. Japan Acad., Ser. A, Math. Sci.
56, no.8 (1980), 389-392
doi: 10.3792/pjaa.56.389
-
Generalized exponents of a free arrangement of hyperplanes and Shephard-Todd-Brieskorn formula.
Inventiones math.
63, no.1 (1981), 159-179
doi: 10.1007/BF01389197
-
On Betti numbers of complement of hyperplanes.
Publ. Res. Inst. Math. Sci.
17, no.2 (1981), 657-663
doi: 10.2977/prims/1195185267
-
The exponents of a free hypersurface.
Proc. Symp. Pure Math. Singularities, part 2,
40 (1983), 561-566
doi: 10.1090/pspum/040.2/713280
-
The bifurcation set and logarithmic vector fields.
Math. Ann.
263, no.3 (1983), 313-321
doi: 10.1007/BF01457134
-
Les treilles hypersolvables et les arrangements des hyperplans libres.
(M. Jambu, H.Terao)
C. R. Acad. Sci. Paris Ser. I Math.
296 (1983), 623-624
-
Free arrangements of hyperplanes over an arbitrary field.
Proc. Japan Acad. Ser. A Math. Sci.
59, no.7 (1983), 301-303
doi: 10.3792/pjaa.59.301
-
Discriminant of a holomorphic map and logarithmic vector fields.
J. Fac. Sci. Univ., Univ. of Tokyo. Sect. 1 A, Math.
30 (1983), 379-391
URI: http://hdl.handle.net/2261/6382
-
Free arrangements of hyperplanes and supersolvable lattices.
(M. Jambu, H. Terao)
Advancesin Math.
52, no.3 (1984), 248-258
doi: 10.1016/0001-8708(84)90024-0
-
The duality of the exponents of free deformations associated with unitary reflection groups. Algebraic Groups and Related Topics,
(H. Terao, T. Yano)
Advanced Studies in Pure Math.
6 (1984), Kinokuniya and North-Holland, Tokyo-Amsterdam,
347-359
-
Arrangements of hyperplanes and differential forms.
(P. Orlik, L. Solomon, H. Terao)
Contemporary Math.
34 (1984), Amer. Math. Soc., Providence, R.I.,29-65
-
On the Coxeter arrangement and the Coxeter number.
(P. Orlik, L. Solomon, H. Terao)
Advanced Studies in Pure Math.
8, Complex Analytic Singularities, Kinokuniya and North-Holland,Tokyo-Amsterdam, 1986, 461-477
-
Modular elements of lattices and topological fibration.
Advances in Math.
62, no.2 (1986), 133-154
doi: 10.1016/0001-8708(86)90097-6
-
A formula for the characteristic polynomial of an arrangement.
(L. Solomon, H. Terao)
Advances in Math.
64, no.3 (1987), 305-325
doi: 10.1016/0001-8708(87)90011-9
-
Arrangements of hyperplanes and broken-circuits.
(M. Jambu, H. Terao)
Contemporary Math.
90, Amer. Math. Soc., Providence, R.I., 1989, 147-162
doi: 10.1090/conm/090
-
Basic derivations for {\G_34} : Appendix to "Basic derivations for unitary reflection groups" by P. Orlik.
(H. Terao, Y. Enta)
Contemporary Math.
90 (1989), Amer. Math. Soc., Providence, R.I., 225-227
doi: 10.1090/conm/090
Print ISBN: 978-0-8218-5096-1, Electronic ISBN: 978-0-8218-7678-7
-
The Jacobians and the discriminants of finite reflection groups.
Tohoku Math. J.
41, no. 2 (1989), 237-247
doi: 10.2748/tmj/1178227822
-
On a certain invariant of a finite unitary reflection group.
Proc. Japan Acad. Ser. A
65 (1989), 320-322
doi: 10.3792/pjaa.65.320
-
Hilbert polynomials and geometric lattices.
(L. Rose, H. Terao)
Advances in Math.
84, no.2 (1990), 209-225
doi: 10.1016/0001-8708(90)90045-O
-
A free resolution of the module of logarithmic forms of a generic arrangement.
(L. Rose, H. Terao)
J. of Algebra
136, no.2 (1991), 376-400
doi: 10.1016/0021-8693(91)90052-A
-
Factorizations of the Orlik-Solomon Algebras.
Advances in Math.
91, no.1 (1992), 45-53
doi: 10.1016/0001-8708(92)90009-A
-
Coxeter arrangements are hereditarily free.
(P. Orlik, H. Terao)
Tohoku Math. J.
45, no. 3 (1993), 369-383
doi: 10.2748/tmj/1178225890
-
Free arrangements and relation spaces.
(K. Brandt, H. Terao)
Discrete Comput. Geom.
12 (1994), 49-63
doi: 10.1007/BF02574365
-
Commutative algebras for arrangements.
(P. Orlik, H. Terao)
Nagoya J. of Math.
134 (1994), 65-73
doi: 10.1017/S0027763000004852
-
Arrangements and Milnor fibers.
(P. Orlik, H. Terao)
Math. Ann.
301 (1995), 211-235
doi: 10.1007/BF01446627
-
Logarithmic forms on affine arrangements.
(H. Terao, S. Yuzvinsky)
Nagoya J. of Math.
139 (1995), 129-149
doi: 10.1017/S002776300000533X
-
The number of critical points of a product of powers of linear functions.
(P. Orlik, H. Terao)
Inventiones Math.
120 (1995), 1-14
doi: 10.1007/BF01241120
-
Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for
singular vectors.
(V. Schechtman, H. Terao, A. Varchenko)
J. Pure and Applied Alg. Physics and Algebra
100 (1995), 93-102
doi:10.1016/0022-4049(95)00014-N
-
The logarithmic forms of $k$--generic arrangements.
(K.-S. Lee, H. Terao)
J. Math. Sci. Univ. of Tokyo
3 (1996), 83-89
doi:10.1007/BF02362574
-
$\beta{\bf nbc}$--bases for cohomology of local systems on hyperplane complements.
(M. Falk, H. Terao)
Transactions AMS
349 (1997), 189-202
doi:10.1090/S0002-9947-97-01844-8
-
The determinant of a hypergeometric period matrix.
(A. Douai, H. Terao)
Inventiones Math.
128 (1997), 417-436
doi:10.1007/s002220050146
-
Twisted de Rham cohomology groups of logarithmic forms.
(K. Aomoto, M. Kita, P. Orlik, H. Terao)
Advances in Math.
128 (1997), 119-152
doi:10.1006/aima.1997.1631
-
The double Coxeter arrangements.
(L. Solomon, H. Terao)
Comment. Math. Helv.
73 (1998), 237-258
doi:10.1007/s000140050054
-
Logarithmic forms and anti-invariant forms of reflection groups.
(A. Shepler, H. Terao)
Advanced Studies in Pure Math.
27, 273-278, Arrangements-Tokyo 1998 (eds. M. Falk and H. Terao), Kinokuniya, Tokyo,2000
- Moduli space of
combinatorially equivalent arrangements of hyperplanes
and logarithmic Gauss-Manin connections.
Topology and its
appl. 118 (2002), 255-274
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. (H. Horiuchi, H. Terao)
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.
(H. Kamiya, P. Orlik, A. Takemura, H. Terao)
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 1501, 2006, 1-9,
(PDF 88KB)
URI: http://hdl.handle.net/2433/58436
-
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.
(T. Abe, H. Terao, 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.
(T. Abe, H. Terao, 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.
(H. Kamiya, A. Takemura, H. Terao)
J. Alg. Combin.
27
(2008), 317-330
doi: 10.1007/s10801-007-0091-2
-
Totally free arrangements of hyperplanes.
(T. Abe, H. Terao, M. Yoshinaga)
Proc. Amer. Math. Soc.
137
(2009), 1405-1410
doi:0.1090/S0002-9939-08-09755-4
- The characteristic quasi-polynomials of
the arrangements of root systems and mid-hyperplane arrangements.
(H. Kamiya, A. Takemura, H. Terao)
in:
``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),
Progress in Math.
283, Birkhauser, 177-190, 2010, ISBN:978-3-0346-0208-2
doi: 10.1007/978-3-0346-0209-9_7
-
A primitive derivation and logarithmic differential forms
of Coxeter arrangements.
(T. Abe, H. Terao)
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.
(T. Abe, H. Terao)
Journal of Algebra,
330
(2011), 251-262
doi: 10.1016/j.jalgebra.2010.12.010
-
Ranking patterns of unfolding models of codimension one.
(H. Kamiya, A. Takemura, H. Terao)
Advances in Applied Mathematics,
47
(2011), 379-400
doi: 10.1016/j.aam.2010.11.002
-
The freeness of Shi-Catalan arrangements.
(T. Abe, H. Terao)
European J. Combin.
32
(2011), 1191-1198
doi: 10.1016/j.ejc.2011.06.005
- Periodicity of non-central integral arrangements modulo positive integers.
(H. Kamiya, A. Takemura, H. Terao)
Annals of Combinatorics,
15
(2011), 449-464
doi: 10.1007/s00026-011-0105-6
-
The Shi arrangement of the type $D_\ell$.
(R. Gao, D. Pei, H. Terao)
Proc. Japan Acad. Ser. A Math. Sci.,
88
(2012), 41-45
doi: 10.3792/pjaa.88.41
-
Equivariant multiplicities of Coxeter arrangements and invariant bases.
(T. Abe, H. Terao, A. Wakamiko)
Advances in Math.
230
(2012), 2364-2377
doi: 10.1016/j.aim.2012.04.015
-
The Shi arrangements and the Bernoulli polynomials.
(D. Suyama, H. Terao)
Bull. London Math. Soc.
44
(2012), 563-570
doi: 10.1112/blms/bdr118
-
Arrangements stable under the Coxeter groups.
(H. Kamiya, A. Takemura, H. Terao)
in:
``Configuration Spaces: Geometry, Combinatorics and Topology,''
Proceedings of a special period
at the De Giorgi Center,
Scuola Normale in Pisa, May - June, 2010,
(ed. A. Bjorner, F. Cohen, C. De Concini, C. Procesi, M. Salvetti),
Edizioni Della Normale, Pisa, 327-354, 2012, ISBN:978-88-7642-430-4
doi: 10.1007/978-88-7642-431-1_15
- Weyl 配置のイデアル部分配置の自由性.
数理研講究録 1870, 2013, 115-126, ISSN:1880-2818
(PDF 181KB)
URI: http://hdl.handle.net/2433/195440
-
The freeness of ideal subarrangements of Weyl arrangements.
(T. Abe, M. Barakat, M. Cuntz, T. Hoge, H. Terao )
in:
DMTCS Proceedings of "26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)"
AT
(2014), 501-512
- 数学通信 巻頭言.
数学通信 第18巻4号, 2014, 3-4
(PDF 210KB)
-
Simple-root bases for Shi arrangements.
(T. Abe, H. Terao)
Journal of Algebra
422
(2015), 89-104
doi: 10.1016/j.jalgebra.2014.09.011
-
Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements.
(T. Abe, H. Terao)
J. Algebraic Combin.
43
(2016), 33-44
doi:10.1007/s10801-015-0624-z
-
The freeness of ideal subarrangements of Weyl arrangements.
(T. Abe, M. Barakat, M. Cuntz, T. Hoge, H. Terao)
J. Eur. Math. Soc.
18
(2016), 1339-1348
doi: 10.4171/JEMS/615
-
Canonical systems of basic invariants for unitary reflection groups.
(N. Nakashima, H. Terao, S. Tsujie)
Canad. Math. Bull.
59, no.3 (2016), 617-623
doi: 10.4153/CMB-2016-031-7
- 数学 論説「超平面配置に関する最近の話題」.
(H. Terao, M. Yoshinaga)
数学 第66巻第2号, 2014年春季号, 157-179.
[
English translation: Recent topics of arrangements of hyperplanes.
Sugaku Expositions 31 (2018), 43-67.]
-
Logarithmic vector fields for curve configurations in $P^2$ with quasihomogeneous singularities.
(H. Schenck, H. Terao, M. Yoshinaga)
Math. Res. Lett.
25, no.6 (2018), 1977-1992
doi:10.4310/MRL.2018.v25.n6.a14
- 数学通信 巻頭言.
数学通信 第24巻1号, 2019, 3-4
(PDF 137KB)
-
Multiple addition, deletion and restriction theorems for hyperplane arrangements(arXiv:1801.01790)
(T. Abe, H. Terao)
Proc. Amer. Math. Soc.
147, no.11 (2019), 4835-4845
doi: 10.1090/proc/14592
-
On A_{1}^{2} restrictions of Weyl arrangements
(T. Abe, H. Terao, T. N.Tran)
J. Algebraic Combin.
54 (2021),
353-379
doi: 10.1007/s10801-020-00979-8
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
(Video),
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
-
Various phases of arrangements of hyperplanes,
Colloquium, Hokkaido
University, April 28, 2006
-
Multiderivations of real reflection arrangements,
The international
symposium on singularity theory and their applications II, Beijing
University of Chemical Technology, China, May 10, 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
-
Primitive derivations, Shi arrangements
and Bernoulli polynomials.
an invited talk at the
Special Session on
"Singularities,
Stratifications and their Applications"
at
an AMS Sectional Meeting,
March 3-4, 2012,
University of Hawaii Manoa, Honolulu, HI, USA,
March 3, 2012 (with D. Suyama)
-
Height basis of Weyl arrangements.
an invited talk at the
"Arrangements in Pyrenees"
School on hyperplane arrangements and related topics,
June 11-15, 2012, Universite de Pau, France, June 11, 2012
-
Primitive derivations, Shi arrangements,
Bernoulli polynomials and the
height-free conjecture.
an invited one-hour talk at the
"FPSAC '12 (The 24th International Conference on Formal
Power Series and Algebraic Combinatorics),"
July 30-August 3, 2012, Nagoya University, August 2, 2012
-
Primitive derivations, Shi arrangements
and
Bernoulli polynomials.
an invited talk at the
"2012 Shanghai Conference on Algebraic Combinatorics,"
August 17 -- 22, 2012, Shanghai Jiao Tong University,
August 20, 2012.
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Primitive derivations, Shi arrangements and Bernoulli polynomials.
a colloquium talk at Northeastern Normal University, Chanchun,
September 28, 2012.
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Logarithmic derivation modules of Shi arrangements associated with root systems.
an invited talk at "Combinatorial Representation Theory and Related Topics,"
October 9-12, 2012, RIMS, Kyoto University, October 11, 2012.
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Logarithmic derivation modules of Shi arrangements associated with root systems.
an invited talk at Workshop on "Free Divisors and Differential Equations,"
November 5-10, 2012, Tokyo University of Agriculture and Technology, November 8, 2012.
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Logarithmic derivation modules of Shi arrangements associated with root systems.
an invited talk at Conference on "Hyperplane Arrangements: Combinatorial and Geometric Aspects,"
February 21-22, 2013, Ruhr-Universitat Bochum, Germany, February 21, 2013.
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The freeness of ideal subarrangements of Weyl arrangements.
an invited talk at Conference on "The 6th Pacific RIM Conference on
Mathematics 2013,” July 1-5, 2013, Sapporo Convention Center, July 2,
2013.
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Multiple addition/deletion theorems and the existence
of free paths in the affine Weyl arrangements.
Combinatorics Seminar, Nagoya University,
July 11, 2013.
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On ideal subarrangements of Weyl arrangements.
an invited talk at Conference on "Hyperplane arrangements
and characteristic classes," November 11-15, 2013, RIMS,
Kyoto University, November 12, 2013.
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On ideal subarrangements of Weyl arrangements.
an invited talk at Conference on "Japanese Turkish Joint Geometry Meeting," November 21-24, 2013, Galatasaray University, Istanbul, Turkey, November 22, 2013.
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On ideal subarrangements of Weyl arrangements.
an invited lecture at CIMPA-UNESCO-MESR-MINECO-VIETNAM research school on "Geometry and Topology of Singular Varieties. Theory and Applications," December 2-14, 2013, the Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam, December, 2013,
the first and second lectures (December 2-3, 2013, PDF 6.7MB),
the third lecture (December 5, 2013, PDF 3MB),
the fourth lecture (December 6, 2013, PDF 506KB).
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The freeness of ideal-Shi arrangements and free paths in affine Weyl arrangements (and a question).
an invited talk at Workshop on "New perspectives in hyperplane and reflection arrangements," February 10, 2014, Ruhr-Universitaet Bochum, Germany, February 10, 2014.
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On ideal subarrangements of Weyl arrangements.
FPSAC '14 (The 26th International Conference on Formal Power Series and Algebraic Combinatorics),
June 29-July 3, 2014, DePaul University, Chicago, USA, June 30, 2014.
-
On ideal subarrangements of Weyl arrangements.
an invited talk at "The 13th International Workshop in Real and Complex Singularities,"
July 27 - August 1st, 2014, Instituto de Ciencias Matematicas e de Computacao
Universidade de Sao Paulo, Campus Sao Carlos, Sao Paulo, Brasil, July 28, 2014.
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Chambers of Arrangements and Arrow's Impossibility Theorem.
Workshop at "Recent developments on geometrical and algebraic
methods in Economics," August 22 - 24, 2014, Hokkaido University,
August 22, 2014.
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Ideals of the roots posets and a new proof of the dual-partition formula
by Shapiro-Steinberg-Kostant-Macdonlald.
an invited talk at "The 2nd
Franco-Japanese-Vietnamese Symposium on Singularities," August 25 -
29, Hokkaido University, August 26, 2014.
-
Multiple addition theorem on arrangements of hyperplanes and a proof
of the Shapiro-Steinberg-Kostant-Macdonald dual-partition formula.
an invited talk at "The 1st Workshop of JSPS-MAE Sakura Program
"Geometry and Combinatorics of Hyperplane Arrangements and Related
Problems"," September 1 - 5, Hokkaido University, September 3, 2014.
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Free filtrations of affine arrangements of infinitely many hyperplanes.
an invited talk at "Hokkaido University - University of Bremen Joint Seminar
"Arrangements of Hyperplanes"," December 1 - 3, University of Bremen, December 1, 2014.
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Ideal Free Theorem and Saturated Free Filtrations of Affine Weyl Arrangements.
an invited talk at "The 10th Kagoshima Algebra-Analysis-Geometry Seminar,"
February 16 - 19, Kagoshima University, February 17, 2015.
-
Arrangements of hyperplanes and applications.
an invited special talk, Korea Advanced Institute of Science and Technology, March 13, 2015.
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Ideal Free Theorem and Saturated Free Filtrations of AffineWeyl
Arrangements.
an invited talk at "Algebraic structures in combinatorics and geometry," June 6 - 12, RIMS, Kyoto University, June 11, 2015.
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Ideal Free Theorem and Saturated Free Filtrations os Affine Weyl Arrangements.
an invited talk at "Computational Geometric Topology in Arrangement Theory," July 6 - 10,
ICERM, Brown University, USA, July 10, 2015.
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On Parabolic Subarrangements and Restrictions of Weyl arrangements.
an invited talk at "Differential and combinatorial aspects of singularities," August 3 - 7,
Technische Universitaet Kaiserslautern, Germany, August 7, 2015.
-
Before and After the Ideal-free Theorem.
an invited talk at "Hyperplane arrangements and reflection groups,"
August 10 - 12, Leibniz Universitaet Hannover, Germany, August 11, 2015.
-
Multiple addition theorem on arrangements of hyperplanes
and a proof of the Shapiro-Steinberg-Kostant-Macdonald
dual-partition formula.
an invited talk at "Braids, Configuration Spaces, and Quantum Topology,"
September 7 - 10, the University of Tokyo, September 8, 2015.
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Subarrangements and restrictions of Weyl arrangements.
an invited talk at the Special Session on "Topology and Combinatorics of Arrangements (in honor of Mike Falk)" at an AMS Spring Eastern Sectional Meeting, March 19 - 20, Stony Brook University, USA, March 19, 2016.
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Reflection Arrangements and Free Arrangements.
an invited one-hour talk at ``Perspectives in Algebraic Topology,
A day in honor of Mario Salvetti on the occasion of his 60th birthday,''
June 5, University of Pisa, Italy, 2017.
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Multiple Addition/Deletion Theorems. II.
an invited talk at ``Advances in Arrangement Theory,
Mathematical Congress of the Americas (MCA) 2017,''
Montreal, Canada, July 25, 2017.
-
The Restrictions of Coxeter Arrangements.
an invited talk at ``Hyperplane arrangements in Wakkanai(HAW2019),''
Wakkanai Hokusei Gakuen University, Hokkaido, Japan, August 23, 2019.
Prize
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