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Orono Mathfest
ORONO, ME, August 810, 1991
Meeting #867
Associate secretaries:
Joseph A Cima, AMS
cima@email.unc.edu
Kenneth A Ross, MAA
ross@math.uoregon.edu
Thursday August 8, 1991

Thursday August 8, 1991, 7:30 a.m.8:20 a.m.
AMSMAA Invited Address
On the maximum principle.
Louis Nirenberg*, Courant Institute of Mathematical Sciences, New York University

Thursday August 8, 1991, 8:35 a.m.9:25 a.m.
MAA Earle Raymond Hedrick Lectures: Lecture I
The sensual (quadratic) form. Can you see the values of 3x^2 +6xy 5y^2?
John Horton Conway*, Princeton University

Thursday August 8, 1991, 9:40 a.m.11:10 a.m.
AMS Progress in Mathematics Lecture
Algorithms in algebraic number theory.
H. W. Lenstra, Jr.*, University of California, Berkeley
(86711100)

Thursday August 8, 1991, 11:25 a.m.11:55 a.m.
AMS Business Meeting

Thursday August 8, 1991, 12:00 p.m.1:00 p.m.
National Science Foundation Informal Discussion Group

Thursday August 8, 1991, 12:40 p.m.1:30 p.m.
MAAMu Alpha Theta Lecture
Calculus in an age of technology.
Paul A. Foerster*, Alamos Heights High School, San Antonio, Texas

Thursday August 8, 1991, 12:40 p.m.4:30 p.m.
AMS Special Session on Commutative Noetherian Rings with Applications in Algebraic Geometry, I

12:40 p.m.
Tangent modules of symmetric algebras.
Aron Simis, Universidade Federal da Bahia, Brazil
Bernd Ulrich, Michigan State University
Wolmer V. Vasconcelos*, Rutgers University, New Brunswick
(8671322)

1:10 p.m.
The ideal theory of graphs.
Aron Simis, Universidade Federal da Bahia, Brazil
Wolmer V. Vasconcelos, Rutgers University, New Brunswick
Rafael H. Villarreal*, Institute Politecnico National, Mexico
(8671326)

1:40 p.m.
Grade four almost complete intersections and linkage.
Susan M. Palmer*, Southwest Missouri State University
(8671331)

2:10 p.m.
On quasihomogeneity of isolated singularities.
Alex Martsinkovsky*, Northeastern University
(8671324)

2:40 p.m.
Regular differential forms and relative duality.
Reinhold H\"ubl*, University of Regensburg, Germany
(8671440)

3:10 p.m.
On the descent of the approximation property.
Dana Weston*, University of Missouri, Columbia
(8671349)

3:40 p.m.
Weak dsequences generate ideals of quadratic type.
K. N. Raghavan*, Purdue University, West Lafayette
(8671397)

4:10 p.m.
Betti numbers of modules of finite length.
Matthew Miller*, University of South Carolina, Columbia
(8671356)

Thursday August 8, 1991, 12:40 p.m.4:30 p.m.
AMS Special Session on Continuum Theory and Dynamical Systems, I

12:40 p.m.
Full attracting sets of annulus maps which are inverse limits of circles.
Sarah Holte*, University of Missouri, Rolla
(8675873)

1:10 p.m.
On certain inverse limits as nonhyperbolic attractors.
Witold Szczechla*, University of Maryland, Baltimore County
(86758161)

1:40 p.m.
Inverse limits on [0,1] with logistic bonding maps.
Marcy Barge, Montana State University
W. T. Ingram*, University of Missouri, Rolla
(8675487)

2:40 p.m.
Prime and dynamics associated with the Henon map.
Marcy Barge*, Montana State University
(8675891)

3:10 p.m.
Dimension, differentiability and dynamicsa survey of recent results.
Jenny Harrison*, Mathematical Sciences Research Institute, Berkeley
(86758188)

3:40 p.m.
Distortion in Denjoy dynamics on the 2torus.
Alec Norton*, University of Texas, Austin
(8675878)

4:10 p.m.
Denjoy diffeomorphisms of the torus.
Vladimir N. Akis*, California State University, Los Angeles
(86757108)

Thursday August 8, 1991, 12:40 p.m.4:00 p.m.
AMS Special Session on Analytic Number Theory, I

12:40 p.m.
Cyclotomic polynomials with large coefficients.
Helmut Maier*, University of Georgia
(86711129)

1:10 p.m.
Meanvalue theorem for character sums.
John Friedlander*, University of Toronto
(8671188)

1:40 p.m.
Approximations to fractional powers of zeta (s) by Dirichlet polynomials.
Brian Conrey*, Oklahoma State University, Stillwater
(86711186)

2:10 p.m.
An exponential sum over primes.
Daniel A. Goldston*, San Jose State University
(86711171)

2:40 p.m.
On the sum cap sigma_0 < gamma < than or equal to T vert bar zeta prime (p) vert bar^2.
Steven M. Gonek*, University of Rochester
(86711162)

3:10 p.m.
Nonvanishing theorems for Lfunctions.
V. Kumar Murty*, University of Toronto
(86711187)

3:40 p.m.
Lower and upper bounds for the number of representations of an integer as a sum of 5, 6, 7, or 8 squares.
Paul T. Bateman*, University of Illinois, UrbanaChampaign
(86711154)

Thursday August 8, 1991, 12:40 p.m.4:30 p.m.
AMS Special Session on Geometric Inequalities for Polytopes, I

12:40 p.m.
Aesthetics and geometric inequalities.
Daniel Pedoe*, University of Minnesota, Minneapolis
(86751144)

1:10 p.m.
A new look at some old inequalities.
Roland H. Eddy*, Memorial University of Newfoundland
(8675153)

1:40 p.m.
Generalizations of Ptolemy's inequality.
Murray S. Klamkin*, University of Alberta
(8675269)

2:10 p.m.
Betweeness relations among centers and lines in the plane of a triangle.
Clark Kimberling*, University of Evansville
(8675143)

2:40 p.m.
Inequalities of a triangle involving products of angles.
Peter Yff*, Ball State University
(86751145)

3:10 p.m.
Some inequalities for inradii associated with a simplex.
Stanley Rabinowitz*, MathPro Press , Westford, Massachusetts
(86751176)

3:40 p.m.
A trigonogeometric relationship.
Leon Bankoff*, Los Angeles, California
(86751175)

4:10 p.m.
Informal Discussion

Thursday August 8, 1991, 12:40 p.m.4:00 p.m.
AMS Special Session on Variational Methods, Differential Analysis and Symmetry, I

12:40 p.m.
Kostant's convexity theorem in infinite dimension.
ChuuLian Terng*, Northeastern University
(8675377)

1:10 p.m.
A new CayleyHamilton theorem.
Robert S. Williams*, University of Texas, Austin
Matthew Stafford, University of Texas, Austin
Steve Kennedy, University of Delaware
(86758149)

1:40 p.m.
Regularizing the second fundamental form for YangMills orbits.
Yohiaki Maeda, Keio University, Japan
Philippe Tondeur, University of Illinois, UrbanaChampaign
Steven Rosenberg*, Boston University
(8675854)

2:10 p.m.
An example of the Poisson action of a Lie group.
Karen Uhlenbeck*, University of Texas, Austin
(86753151)

2:40 p.m.
Quantum symmetry, knot invariants, and topology.
Louis Crane*, Yale University
(86755132)

3:10 p.m.
Singularities of solution to some variational problems.
Libin Mou*, University of Minnesota, Minneapolis
(86749137)

3:40 p.m.
On the positive solutions of semilinear equations cap delta u + lambda u  hu^p = 0 on the compact manifolds.
Tiancheng Ouyang*, University of Toledo
(8673561)

Thursday August 8, 1991, 12:40 p.m.5:30 p.m.
AMS Special Session on Function Algebras and Function Spaces, I

12:40 p.m.
Sequences in the maximal ideal space of H^infinity.
Sheldon Axler*, Michigan State University
Pamela Gorkin, Bucknell University
(8673042)

1:10 p.m.
Bourgain algebras on the unit disk.
Joseph A. Cima*, University of North Carolina, Chapel Hill
Karel Stroethoff, University of Montana
Keith Yale, University of Montana
(8673004)

1:40 p.m.
Polynomial extreme points of the unit ball of H^infinity(B).
John McDonald*, Arizona State University
(8674641)

2:10 p.m.
Multiplicative structure of de Branges spaces.
Benjamin A. Lotto*, University of California, Berkeley
Donald Sarason, University of California, Berkeley
(8673021)

2:40 p.m.
Mobiusinvariant subspaces of the Bloch space and their relation to BMOA.
Pratibha Ghatage*, Cleveland State University
Dechao Zheng, State University of New York, Stony Brook
(86730156)

3:10 p.m.
Closed ideals of weak Bezout type in H^infinity.
Raymond Mortini*, University of Karlsruhe, Germany
(86730120)

3:40 p.m.
Bourgain algebras of the disk, polydisk and ball algebras.
Keiji Izuchi*, Kanagawa University, Japan
(8674659)

4:10 p.m.
Compact weighted composition operators on the L^pspaces.
Hiroyuki Takagi*, Waseda University, Japan
(8674662)

4:40 p.m.
Isometries of abstract Bloch spaces.
Krzysztof Jarosz*, Southern Illinois University, Edwardsville
(86746164)

5:10 p.m.
Functions that operate on a Banach function algebra.
Osamu Hatori*, Tokyo Medical College, Japan
(8674683)

Thursday August 8, 1991, 12:40 p.m.5:40 p.m.
AMS General Session, I

12:40 p.m.
Decision problems in linear algebra and in language theory.
Melven Krom*, University of California, Davis
Myren Krom, California State University, Sacramento
(8670385)

12:55 p.m.
Binary matroids with every circuit basis fundamental.
Lawrence Wargo*, Louisiana State University, Baton Rouge
(86705140)

1:10 p.m.
The number of Dclasses in the semigroup of binary relations on 5 elements.
George Markowsky*, University of Maine, Orono
(8670819)

1:25 p.m.
Integral bases for quartic number fields that have a quadratic subfield.
James G. Huard*, Carleton University
Blair K. Spearman, Carleton University and Okanagan College
Kenneth S. Williams, Carleton University
(86711153)

1:40 p.m.
Variations of the L^3 base reduction algorithm in two dimensions yield continued fractions!
Alice A. Deanin*, Villanova University
(8671145)

1:55 p.m.
A Fibonacci congruence.
Donald F. Bailey*, Trinity University
(8671175)

2:10 p.m.
On Galois embedding problem for pextensions in characteristic p.
T. Kambayashi*, Tokyo Denki University, Japan
(86712105)

2:25 p.m.
Product schemes with group action and secant sheaves on quotients.
Mark Huibregtse*, Skidmore College
(86714179)

2:40 p.m.
Quadratic forms and Ternery algebras.
Xiaorong Shen*, Iowa State College, Ames
(86715134)

2:55 p.m.
Chain addition cycles.
Jody Lockhart, United States Naval Academy
William Wardlaw*, United States Naval Academy
(86715139)

3:10 p.m.
The divisor and summatory functions of integer matrices.
Gautami Bhowmik*, Jesus & Mary College, India
(86715190)

3:25 p.m.
Certain cotriples on Cat.
Paul G. Glenn*, Catholic University of America
(86718131)

3:40 p.m.
A generalization of Hamiltonian groups.
Joseph Buckley*, Western Michigan University
John C. Lennox, University of Wales, United Kingdom
James Wiegold, University of Wales, United Kingdom
(86720133)

3:55 p.m.
The endocenter and representation theory.
Jon Phillips*, Iowa State College, Ames
(86720172)

4:10 p.m.
Verma bases for irreducible A_n modules and for their kernels.
A. J. Coleman, Queen's University
R. W. Deckhart*, Kansas State University
(86722158)

4:25 p.m.
Convergence without epsilons.
Darwin E. Peek*, Trinity University
(86726117)

4:40 p.m.
Characteristic functions of certain Carleman classes.
Jamil A. Siddiqi*, Universit\'e Laval
(86726191)

5:00 p.m.
H^pclasses on spaces of negative curvature.
Adam Koranyi*, Herbert H. Lehman College, City University of New York
(86731110)

5:15 p.m.
Postulational formulation of the Maxwell equations.
Arjan Sobhraj Mirchandaney, Defiance College
Domina Eberle Spencer*, University of Connecticut, Storrs
Shama Y. Uma, Bridgewater State College
Philip J. Mann, University of Connecticut, Storrs
(86731167)

5:30 p.m.
Different and trace.
Joseph Lewittes*, Herbert H. Lehman College, City University of New York
(8671214)

Thursday August 8, 1991, 12:40 p.m.4:45 p.m.
MAA Session on Using Student Projects in the First Two Years of the Curriculum, I

12:40 p.m.
Introduction

12:45 p.m.
Using student projects in an elementary math modeling course (graphs and networks) for liberal arts students.
Helen Christensen*, Loyola College in Maryland

1:05 p.m.
Strip patterns: A project in ethnomathematics.
Marcia Ascher*, Ithaca College

1:25 p.m.
Using student reading projects in linear algebra.
Christine R. Leverenz*, Georgetown College

1:45 p.m.
Calculus, differential equations, and linear algebra projects at the University of Arizona.
David O. Lomen*, University of Arizona
David Lovelock, University of Arizona

2:05 p.m.
A projectsbased calculus. I.
Eric E. Robinson*, Ithaca College

2:25 p.m.
Student research projects in calculus: A departmentwide program.
David J. Pengelley*, New Mexico State University, Las Cruces

2:40 p.m.
Break

2:50 p.m.
Conjecture and experimentation in a calculus laboratory.
Lawrence C. Moore, Duke University
David A. Smith*, Duke University

3:10 p.m.
Using student projects in calculus.
Mic Jackson*, Earlham College

3:30 p.m.
Student projects: An historical perspective to calculus.
Ronald N. Bell*, Midland Valley High School, Langley, South Carolina

3:50 p.m.
Who are these mathematicians?
Kay Gura*, Ramapo College of New Jersey

4:10 p.m.
The chromatic triangles project.
Dorothy Buerk*, Ithaca College

4:30 p.m.
Art research project for a geometry course.
Catherine A. Gorini*, Maharishi International University

Thursday August 8, 1991, 12:40 p.m.5:00 p.m.
PME Contributed Paper Session

Thursday August 8, 1991, 12:40 p.m.5:00 p.m.
PME Contributed Paper Session

Thursday August 8, 1991, 12:40 p.m.5:00 p.m.
PME Contributed Paper Session

Thursday August 8, 1991, 12:45 p.m.2:45 p.m.
MAA Minicourse #1: Part A
Julia sets and the Mandelbrot set
Organizers:
Robert L. Devaney, Boston University

Thursday August 8, 1991, 12:45 p.m.2:45 p.m.
MAA Minicourse #2: Part A
Integrating calculus and physics for freshmen
Organizers:
Joan R. Hundhausen, Colorado School of Mines
F. Richard Yeatts, Colorado School of Mines

Thursday August 8, 1991, 12:45 p.m.2:45 p.m.
MAA Minicourse #3: Part A
Making mathematics more concrete
Organizers:
Agnes Azzolino, Mathematical Concepts

Thursday August 8, 1991, 1:00 p.m.2:00 p.m.
AMS Committee on Science Policy Panel Discussion
Report of the Strategic Planning Task Force: Its potential for the coming decade
Moderators:
Hugo Rossi, University of Utah
Speakers:
Richard Askey, Univ of Wisconsin
Lenore Blum, International Comp Sci Inst
Michael C. Reed, Duke Univ

Thursday August 8, 1991, 2:00 p.m.3:00 p.m.
AWMMAA Panel Discussion
Careers that count: Opportunities in the mathematical sciences
Moderators:
Jenny Baglivo, Boston College
Speakers:
Allyn Jackson, AMS
Sharon Chapman, Amherst Jr High School
Ruth Gonzalez, Exxon
Jacquie Callahan, JPL

Thursday August 8, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #4: Part A
Teaching mathematical modeling
Organizers:
Frank Giordano, U.S. Military Academy
Maurice Weir, Naval Postgraduate School

Thursday August 8, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #5: Part A
Conceptualizing, organizing, and seeking funding for teacher education projects
Organizers:
Joan FerriniMundy, University of New Hampshire
Carole Lacampagne, National Science Foundation

Thursday August 8, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #6: Part A
Symmetry analysis of repeated patterns
Organizers:
Donald Crowe, University of Wisconsin, Madison

Thursday August 8, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #7: Part A
Great theorems from mathematical analysis: 16891881
Organizers:
William Dunham, Hanover College

Thursday August 8, 1991, 3:00 p.m.3:30 p.m.
AWM Membership Meeting

Thursday August 8, 1991, 3:15 p.m.5:15 p.m.
MAA Committee on Computers in Mathematics Education & CUPM Subcommittee on Symbolic Computer Systems Panel Discussion
Uses of computers in NSF calculus projects
Panelists:
Dennis M. Schneider, Knox College
Joan R. Hundhausen, Colorado School of Mines
William H. Barker, Bowdoin College
David O. Lomen, University of Arizona
Organizers:
Phoebe Judson, Trinity University
Inquiries: meet@ams.org