# Hiroaki Terao(G)'s Page

#### Last Updated on 2018.01.09 Visit my site at Tokyo Institute of Technology which has been more actively updated.

Lilac (1996-2015)         Baxter (2001-2017)         Dora (2015- )

### Office Address

Departments of Mathematics
Hokkaido University
North 10, West 8, Kita-ku,
Sapporo, 060-0810, JAPAN
hterao00((at))za3.so-net.ne.jp

### My vita

is here (PDF 87KB : as of 2018.01.09)

### 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.)
• sϗʂƂ͂Ȃɂ \ 㐔ŵ (pp.246) (@~EGE) u[obNX 1393, uk ; ISBN: 4062573938, Nov. 2002
• sϗʂƑΏ̐: 㐔ŵ (pp.292) (@~EGE) ܊w|, }[ ; ISBN: 4480095217, Mar. 2013 ({́wsϗʂƂ͂Ȃɂ \ 㐔ŵx(@~EGECu[obNX 1393Cuk) ̉łłD) \ (2018.02.20)
• 㐔 \ uƉK(pp. 171) (ѐTEG) | ; ISBN: 9784563003739, Apr. 2007 \ (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; ISBNF9784931469679, March 2012
• 㐔 \ uƉK@(pp. 189) (ѐTEG) | ; ISBN: 9784563004873, Feb. 2014

### 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
• ʔzu - ɁARʔzuɂ -, 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
• J^̌鐔w̐E (Enumerative Combinatorics ) kCwZu 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.
• 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,h 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. 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.