Lilac (1996-2015) and Baxter (2001- )

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

is **here** (PDF 72KB : as of 2016.08.16)

**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．)**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*

**Moduli space of combinatorially equivalent arrangements of hyperplanes and logarithmic Gauss-Manin connections.***Topology and its appl.*doi:10.1016/S0166-8641(01)00054-2**118**(2002), 255-274**Multiderivations of Coxeter arrangements.***Inventiones mathematicae*doi: 10.1007/s002220100209**148**(2002), 659-674**Algebras generated by reciprocals of linear forms.***Journal of Algebra*doi:10.1006/jabr.2001.9121**250**(2002), 549-558**The Poincar\'e series of the algebra of rational functions which are regular outside hyperplanes.***(H. Horiuchi, H. Terao) Journal of Algebra*doi:10.1016/S0021-8693(03)00330-2**266**(2003), 169-179**Bases of the contact-order filtration of derivations of Coxeter arrangements.***Proc. AMS*doi: 10.1090/S0002-9939-05-07767-1**133**(2005), 2029-2034**The Hodge filtration and the contact-order filtration of derivations of Coxeter arrangements.***Manuscripta Math.*doi: 10.1007/s00229-004-0536-z**118**(2005), 1-9**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,*doi: 10.1007/s00026-006-0284-8**10**(2006), 219-235**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)**-
**Chambers of Arrangements of Hyperplanes and Arrow's Impossibility Theorem.***Advances in Math.*doi:10.1016/j.aim.2007.02.006**214**(2007), 366-378 **The characteristic polynomial of a multiarrangement.***(T. Abe, H. Terao, M. Wakefield) Advances in Math.*doi:10.1016/j.aim.2007.04.019**215**(2007), 825-838**The Euler multiplicity and the addition-deletion theorems for multiarrangements.***(T. Abe, H. Terao, M. Wakefield) J. London Math. Soc. (2)*doi: 10.1112/jlms/jdm110**77**(2008), 335-348**A correction to ``Bases of the contact-order filtration of derivations of Coxeter arrangements.''***Proc. Amer. Math. Soc.*doi:10.1090/S0002-9939-08-09477-X**136**(2008), 2639-2639**Periodicity of hyperplane arrangements with integral coefficients modulo positive integers.***(H. Kamiya, A. Takemura, H. Terao) J. Alg. Combin.*doi:10.1007/s10801-007-0091-2**27**(2008), 317-330**Totally free arrangements of hyperplanes.***(T. Abe, H. Terao, M. Yoshinaga) Proc. Amer. Math. Soc.*doi:10.1090/S0002-9939-08-09755-4**137**(2009), 1405-1410**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.*doi:10.1007/978-3-0346-0209-9**283**, Birkhauser, 177-190, 2010, ISBN:978-3-0346-0208-2**A primitive derivation and logarithmic differential forms of Coxeter arrangements.***(T. Abe, H. Terao) Math. Z.*doi: 10.1007/s00209-009-0489-8**264**(2010), 813-828**Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements.***(T. Abe, H. Terao) Journal of Algebra,*doi:10.1016/j.jalgebra.2010.12.010**330**(2011), 251-262**Ranking patterns of unfolding models of codimension one.***(H. Kamiya, A. Takemura, H. Terao) Advances in Applied Mathematics,*doi:10.1016/j.aam.2010.11.002**47**(2011), 379-400**The freeness of Shi-Catalan arrangements.***(T. Abe, H. Terao) European J. Combin.*doi:10.1016/j.ejc.2011.06.005**32**(2011), 1191-1198**Periodicity of non-central integral arrangements modulo positive integers.***(H. Kamiya, A. Takemura, H. Terao)**Annals of Combinatorics,*doi: 10.1007/s00026-011-0105-6**15**(2011), 449-464**The Shi arrangement of the type $D_\ell$.***(R. Gao, D. Pei, H. Terao)**Proc. Japan Acad. Ser. A Math. Sci.,*doi:10.3792/pjaa.88.41**88**(2012), 41-45**Equivariant multiplicities of Coxeter arrangements and invariant bases.***(T. Abe, H. Terao, A. Wakamiko)**Advances in Math.*doi:10.1016/j.aim.2012.04.015**230**(2012), 2364-2377**The Shi arrangements and the Bernoulli polynomials.***(D. Suyama, H. Terao) Bull. London Math. Soc.*doi: 10.1112/blms/bdr118**44**(2012), 563-570-
**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* **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)**-
**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)****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*-
**Simple-root bases for Shi arrangements.***(T. Abe, H. Terao) Journal of Algebra*doi:10.1016/j.jalgebra.2014.09.011**422**(2015), 89-104 **Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements.***(T. Abe, H. Terao) J. Algebraic Combin.*doi:10.1007/s10801-015-0624-z**43**(2016), 33-44**The freeness of ideal subarrangements of Weyl arrangements.***(T. Abe, M. Barakat, M. Cuntz, T. Hoge, H. Terao) J. Eur. Math. Soc.*doi 10.4171/JEMS/615**18**(2016), 1339-1348**Logarithmic vector fields for curve configurations in $P^2$ with quasihomogeneous singularities. (arXiv:1407.3237)***(H. Schenck, H. Terao, M. Yoshinaga) Math. Res. Lett. (to appear)***Canonical systems of basic invariants for unitary reflection groups.***(N. Nakashima, H. Terao, S. Tsujie) Canad. Math. Bull.*doi 10.4153/CMB-2016-031-7**59**(2016),

- Arrangements of hyperplanes, especially relations with local system cohomology and hypergeometric functions, Reflection groups

**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)****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.**Primitive derivations, Shi arrangements and Bernoulli polynomials.**a colloquium talk at Northeastern Normal University, Chanchun, September 28, 2012.**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.**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.**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.**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.**Multiple addition/deletion theorems and the existence of free paths in the affine Weyl arrangements.**Combinatorics Seminar, Nagoya University, July 11, 2013.**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.**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.**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).****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.**On ideal subarrangements of Weyl arrangements.****On ideal subarrangements of Weyl arrangements.****Chambers of Arrangements and Arrow's Impossibility Theorem.****Ideals of the roots posets and a new proof of the dual-partition formula by Shapiro-Steinberg-Kostant-Macdonlald.****Multiple addition theorem on arrangements of hyperplanes and a proof of the Shapiro-Steinberg-Kostant-Macdonald dual-partition formula.****Free filtrations of affine arrangements of infinitely many hyperplanes.****Ideal Free Theorem and Saturated Free Filtrations of Affine Weyl Arrangements.****Arrangements of hyperplanes and applications.****Ideal Free Theorem and Saturated Free Filtrations of AffineWeyl Arrangements.****Ideal Free Theorem and Saturated Free Filtrations os Affine Weyl Arrangements.****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.****Subarrangements and restrictions of Weyl arrangements.**

**MathSciNet**-
**ResearcherID.com (Link to Home page)** -
**ReaD & Researchmap (Link to Home page)** **e-prints at arXiv.org**-
**The 2nd MSJ-SI "Arrangements of Hyperplanes" 日本数学会季期研究所「超平面配置」August 1 - 13, 2009** -
**Hyperplane arrangements and applications ("TeraoFest"), a PIMS scientific event, August 8 - 12, 2011, University of British Columbia, Vancouver, Canada**

Photos -
**Summer Conference on Hyperplane Arrangements(SCHA) in Sapporo,August 8 - 12, 2016**

http://www.amazon.co.jp/dp/406288321X