AMS Sectional Meeting Full Program
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Program 
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Inquiries: meet@ams.org
1989 AMS Northeast Sectional Meeting
Worcester, MA, April 1516, 1989
Meeting #848
Associate secretaries:
W Wistar Comfort, AMS
wcomfort@wesleyan.edu
Saturday April 15, 1989

Saturday April 15, 1989, 7:55 a.m.9:50 a.m.
Session on Graphs, Trees and Groups
Room 19, Haberlin Hall

7:55 a.m.
On the structure of the strong orientations of a graph.
John Donald, San Diego State University
John Elwin*, San Diego State University
(8480531)

8:10 a.m.
Construction of selfdual graphs.
Peter R. Christopher*, Worcester Polytechnic Institute
Brigitte Servatius, Worcester Polytechnic Institute
(8480573)

8:25 a.m.
Three and fourdimensional Catalan numbers.
Stephen Snover*, University of Hartford
Stephanie Troyer, University of Hartford
(8480595)

8:40 a.m.
mDimensional Catalan numbers.
Stephen Snover, University of Hartford
Stephanie Troyer*, University of Hartford
(8480594)

8:55 a.m.
Rigidity trees.
Brigitte Servatius*, Worcester Polytechnic Institute
(8480546)

9:10 a.m.
Completely normal lattices.
Constantine Tsinakis*, Vanderbilt University
(8480675)

9:25 a.m.
The Tits conjecture and the fivestring braid group.
Carl Droms*, James Madison University
Jacques Lewin, Syracuse University
Hermann Servatius, College of the Holy Cross
(8482032)

9:40 a.m.
Surface subgroups of infinite Coxeter groups.
Carl Droms, James Madison University
Brigitte Servatius, Worcester Polytechnic Institute
Hermann Servatius*, College of the Holy Cross
(8482052)

Saturday April 15, 1989, 8:00 a.m.9:50 a.m.
Special Session on Infinitedimensional Symmetries in Mathematics and Physics, I
Room 236, Haberlin Hall

8:00 a.m.
Multiplicities in the discrete series of the Virasoro algebra.
Alvany Rocha*, Bernard M. Baruch College, City University of New York
(8481763)

8:30 a.m.
The KP deformations of vector bundles over an elliptic curve.
Emma Previato*, Boston University
George Wilson, Imperial College, London
(8481438)

9:00 a.m.
A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves.
Motohico Mulase*, Temple University and Institute for Advanced Study
(8485810)

9:30 a.m.
Catastrophes, conformal theories and CalabiYau manifolds.
Cumrun Vafa*, Harvard University
(8488184)

Saturday April 15, 1989, 8:00 a.m.9:50 a.m.
Special Session on Gauge Theory and Differential Geometry, I
Room 328, Swords Hall

8:00 a.m.
Constructing the Floer cycles.
Cliff Taubes*, Harvard University
(8485367)

8:30 a.m.
Vortices on K\"ahler manifolds.
Steven Bradlow*, Stanford University
(8485317)

9:00 a.m.
Instantons and the geometry of the nilpotent variety.
Peter Kronheimer*, Institute for Advanced Study
(8485320)

9:30 a.m.
Converging Ricci flow for metrics with indefinite curvature in arbitrary dimensions.
James Isenberg*, University of California at San Diego, La Jolla, and University of Oregon
(8485315)

Saturday April 15, 1989, 8:00 a.m.9:50 a.m.
Special Session on Lfunctions and Arithmetic, I
Room 414, Haberlin Hall

8:00 a.m.
A formal Mellin transformation in the arithmetic of function fields.
David Goss*, University of Maryland, Baltimore County
(8481423)

8:30 a.m.
Representations of the Weil group.
George Zettler*, Columbia University
Don M. Blasius, University of California, Los Angeles
(8481196)

9:00 a.m.
Arithmetic ampleness.
Christophe Soul\'e*, Centre National de la Recherche Scientifique and Harvard University
(8481165)

9:30 a.m.
Modular caps, totally real fields, and periods of Eisenstein series on $GL(n)$.
Glenn Stevens*, Boston University
(8481166)

Saturday April 15, 1989, 8:30 a.m.9:50 a.m.
Special Session on Operator Algebras, Galois Theory and Representations, I
Room 238, Haberlin Hall

8:30 a.m.
Noncommutative toroidal orbifolds.
Ola Bratteli, University of Trondheim, Norway
George A. Elliott*, University of Toronto
David E. Evans, University College of Swansea, Wales
Akitaka Kishimoto, T\^ohoku University, Japan
(8484649)

9:00 a.m.
Representations of projections.
ManDuen Choi*, University of Toronto
(8484750)

9:30 a.m.
Symmetries of the CAR algebra.
Bruce Blackadar*, University of Nevada, Reno
(8484687)

Saturday April 15, 1989, 9:00 a.m.9:50 a.m.
Special Session on Knot Theory and Algebraic Geometry in the Large, I
Room 359, Swords Hall

9:00 a.m.
The equisymmetric stratification of the moduli space.
S. Allen Broughton*, Cleveland State University
(8481454)

9:30 a.m.
Homology of Abelian covers.
A. Libgober*, University of Illinois, Chicago
(8489998)

Saturday April 15, 1989, 10:00 a.m.11:00 a.m.
Invited Address

Saturday April 15, 1989, 12:30 p.m.1:30 p.m.
Invited Address
The YangMills moduli space.
Room 103, Haberlin Hall
Thomas H. Parker*, Michigan State University
(8485391)

Saturday April 15, 1989, 1:45 p.m.4:05 p.m.
Special Session on Infinitedimensional Symmetries in Mathematics and Physics, II
Room 236, Haberlin Hall

1:45 p.m.
Representation theory and the Schubert calculus.
Dale H. Peterson*, University of British Columbia
(8482288)

2:15 p.m.
Vertex operators and integral bases of affine Lie algebras.
Shari Prevost*, Rutgers University, New Brunswick
(8481762)

2:45 p.m.
Constructions of vertex operator superalgebras and paraalgebras.
Alex J. Feingold*, State University of New York, Binghamton
John F. X. Ries, State University of New York, Binghamton
Igor B. Frenkel, Yale University
(8481739)

3:15 p.m.
Level two standard representations of affine special linear Lie algebras.
Kailash C. Misra*, North Carolina State University
(8481782)

3:45 p.m.
Vertex operator relations for affine Lie algebras.
Stefano Capparelli*, Yale University
(8481757)

Saturday April 15, 1989, 1:45 p.m.4:05 p.m.
Special Session on Gauge Theory and Differential Geometry, II
Room 328, Swords Hall

1:45 p.m.
On the existence of hyperbolic monopoles.
L. M. Sibner*, Polytechnic Institute of New York
R. J. Sibner, Brooklyn College, City University of New York
Karen Uhlenbeck, University of Texas, Austin
(8485379)

2:15 p.m.
The geometry of magnetic monopoles.
Peter J. Braam*, University of Utah and Merton College, England
(8485322)

2:45 p.m.
Torsion constraints in supergeometry.
John Lott*, University of Michigan, Ann Arbor
(8485319)

3:15 p.m.
Classifying connections by holonomy.
R. J. Sibner*, Brooklyn College, City University of New York
L. M. Sibner, Polytechnic Institute of New York
(8485380)

3:45 p.m.
Fixed points of finite group actions on $3$manifolds.
Nicholas Buchdahl*, Tulane University
Slawomir Kwasik, Tulane University
Reinhard Schultz, Purdue University, West Lafayette
(8485321)

Saturday April 15, 1989, 1:45 p.m.4:05 p.m.
Special Session on Lfunctions and Arithmetic, II
Room 414, Haberlin Hall

1:45 p.m.
Lfunctions of universal elliptic curves over Igusa curves.
Douglas L. Ulmer*, Massachusetts Institute of Technology
(8481124)

2:15 p.m.
Trilinear forms and local $\epsilon$factors for $GL_2$.
Dipendra Prasad*, Harvard University
(8481142)

2:45 p.m.
Averages of Lfunctions and their derivatives.
V. Kumar Murty*, University of Toronto
Ram Murty, McGill University
(8481172)

3:15 p.m.
The formal group of the Jacobian of an algebraic curve.
Margaret N. Freije*, College of the Holy Cross
(8481170)

3:45 p.m.
Modular quaternionic Lvalue congruences.
Ted Chinburg*, Columbia University
(8481108)

Saturday April 15, 1989, 1:45 p.m.4:05 p.m.
Special Session on Knot Theory and Algebraic Geometry in the Large, II
Room 359, Swords Hall

1:45 p.m.
Higher codimensional algebraic knots.
Alan H. Durfee*, Mount Holyoke College
(8485726)

2:15 p.m.
Complex algebraic plane curves via their links at infinity.
Walter D. Neumann*, Ohio State University, Columbus
(8485734)

2:45 p.m.
A congruence between link polynomials.
Lee Rudolph*, Clark University
(8485730)

3:15 p.m.
The fundamental group of the complement of an algebraic curve.
Stepan Yu Orevkov*, Moscow, USSR
(8481451)

3:45 p.m.
Discussion

Saturday April 15, 1989, 1:45 p.m.4:10 p.m.
Session on Geometry, Topology and Applied Mathematics
Room 19, Haberlin Hall

1:45 p.m.
A note on $\scr k$uniform rotundity.
Srinivasa Swaminathan*, Dalhousie University
(8484643)

2:00 p.m.
Interior hull inequalities for lattice polygons.
Stanley Rabinowitz*, Westford, Massachusetts
(8485274)

2:15 p.m.
Invariant affine connections on symmetric spaces.
H. Turner Laquer*, Case Western Reserve University
(8485353)

2:30 p.m.
Complete stable minimal surfaces in $R^3$.
Marty Ross*, Stanford University
(8485309)

2:45 p.m.
Comparison of the handle and tunnel numbers of classical knots.
John Erbland*, University of Hartford
(8485745)

3:00 p.m.
The interbubble medium: Inflationary IBM.
Stephen L. Weinberg*, Berkeley Academy of Artscience, Berkeley, California
(8488506)

3:15 p.m.
The force field holor.
Shama Y. Uma, Bridgewater State College
Domina Eberle Spencer*, University of Connecticut, Storrs
(8487813)

3:30 p.m.
Electromagnetic field holors.
Shama Y. Uma*, Bridgewater State College
Domina Eberle Spencer, University of Connecticut, Storrs
(8487812)

3:45 p.m.
A theory of duality in mathematical programming.
Andrzej Wieczorek*, Polish Academy of Sciences, Warsaw
(8489007)

4:00 p.m.
Computing characteristic classes of continuous lattice gauge fields.
A. V. Phillips, State University of New York, Stony Brook
David A. Stone*, City College, City University of New York
(8488144)

Saturday April 15, 1989, 2:15 p.m.3:35 p.m.
Special Session on Operator Algebras, Galois Theory and Representations, II
Room 238, Haberlin Hall

2:15 p.m.
Continuous semigroups of $^*$endomorphisms of $B(H)$.
Robert Powers*, University of Pennsylvania
(8484628)

2:45 p.m.
The $C^*$algebras generated by pairs of semigroups of isometries satisfying certain commutation relations.
Geoffrey Price*, United States Naval Academy
(8484681)

3:15 p.m.
Index theory for pairs of factors of infinite index.
Richard Herman*, Pennsylvania State University, University Park
Adrian Ocneanu, Pennsylvania State University, University Park
(8484685)

Saturday April 15, 1989, 6:00 p.m.9:00 p.m.
Council
Sturbridge A & B, Howard Johnson's Motor Lodge
Sunday April 16, 1989

Sunday April 16, 1989, 7:30 a.m.9:50 a.m.
Special Session on Operator Algebras, Galois Theory and Representations, III
Room 238, Haberlin Hall

7:30 a.m.
Applications of equivariant Kasparov theory.
Peter Haskell*, Virginia Polytechnic Institute and State University
(8484641)

8:00 a.m.
de Rham cohomology for discrete groups.
Paul Baum*, Pennsylvania State University, University Park
Alain Connes, College de France, Paris, France
(8484689)

8:30 a.m.
Comparison of (negative) algebraic and topological Ktheory for $C^*$algebras.
Jonathan Rosenberg*, University of Maryland, College Park
(8485529)

9:00 a.m.
Transverse cyclic cocycles via elliptic renormalization.
Ronald G. Douglas*, State University of New York, Stony Brook
(8485856)

9:30 a.m.
Operator algebraic invariants for elliptic operators.
Jerry Kaminker*, Indiana UniversityPurdue University, Indianapolis
(8484686)

Sunday April 16, 1989, 7:30 a.m.9:50 a.m.
Special Session on Infinitedimensional Symmetries in Mathematics and Physics, III
Room 236, Haberlin Hall

7:30 a.m.
Higherorder Sugawara operators for affine Lie algebras.
Roe Goodman*, Rutgers University, New Brunswick
Nolan R. Wallach, Rutgers University, New Brunswick
(8482248)

8:00 a.m.
BernsteinGelfandGelfand resolution for arbitrary KacMoody algebras.
Shrawan Kumar*, Institute for Advanced Study
(8482261)

8:30 a.m.
Vertex operators, symmetric polynomials and symmetric groups.
Naihuan Jing*, Yale University
(8481737)

9:00 a.m.
${\bf Z}_2$orbifold theory.
YiZhi Huang*, Rutgers University, New Brunswick
(8481759)

9:30 a.m.
Duality, crossing and Mac Lane's coherence.
Ram Brustein, Tel Aviv University, Israel
Yuval Ne'eman, Tel Aviv University, Israel
Shlomo Sternberg*, Tel Aviv University, Israel and Harvard University
(8481864)

Sunday April 16, 1989, 7:30 a.m.9:50 a.m.
Special Session on Lfunctions and Arithmetic, III
Room 414, Haberlin Hall

7:30 a.m.
Cohomology of $GL(n,{\bf Z})$.
Avner Ash*, Ohio State University, Columbus
(8481105)

8:00 a.m.
Relations among Lfunctions attached to algebraic varieties.
Michael Rosen*, Brown University
(8481171)

8:30 a.m.
The Markov equation $X^2 + Y^2 + Z^2 = 3XYZ$ over quadratic imaginary fields.
Joseph H. Silverman*, Brown University
(8481104)

9:00 a.m.
Vanishing and nonvanishing of certain Lfunctions.
David Rohrlich*, Rutgers University, New Brunswick
(8481155)

9:30 a.m.
Mock Heegner points and congruent numbers.
Paul Monsky*, Brandeis University
(8481125)

Sunday April 16, 1989, 7:40 a.m.9:50 a.m.
Session on Analysis
Room 19, Haberlin Hall

7:40 a.m.
On $B_4$sequences.
John C. M. Nash*, Marshall University
(8481168)

7:55 a.m.
Lfunctions and differential equations.
Peter F. Stiller*, Institute for Advanced Study
(8481433)

8:10 a.m.
Compact subgroups and compactly generated subgroups of topological groups.
R. W. Bagley*, University of Miami
T. S. Wu, University of Miami
J. S. Yang, University of Miami
(8482202)

8:25 a.m.
Properties of powerseries coefficients of $H^2(\Pi_+)$ functions.
Charles Slavin*, University of Maine, Orono
(8483011)

8:40 a.m.
Positive almost periodic solutions of some delay integral equations.
A. M. Fink*, University of Iowa
J. A. Gatica, University of Iowa
(8483403)

8:55 a.m.
On some inequalities for polynomials.
Narendra K. Govil*, Auburn University, Auburn
(8484136)

9:10 a.m.
On equations in Banach spaces involving composition products of setvalued mappings.
Frank U. Williamson*, Vitry sur Seine, France
(8489301)

9:25 a.m.
Unique basenormed predual Banach spaces and quantum logics.
Yewande Olubummo*, University of Massachusetts, Amherst
(8484616)

9:40 a.m.
On merging of probabilities.
Anthony D'Aristotle*, State University of New York, College at Plattsburgh
Persi Diaconis, Stanford University
David Freedman, University of California, Berkeley
(8485414)

Sunday April 16, 1989, 8:00 a.m.9:50 a.m.
Special Session on Gauge Theory and Differential Geometry, III
Room 328, Swords Hall

8:00 a.m.
Nonunitary anomalies in semiclassical YangMills theory.
Steven Rosenberg*, Boston University
(8485876)

8:30 a.m.
Applications of Donaldson theory to the topology of algebraic surfaces.
John Morgan*, Columbia University
(8485369)

9:00 a.m.
The $L^2$ metric on YangMills moduli spaces.
David Groisser*, University of Florida
(8485377)

9:30 a.m.
Higherorder singularities in gauge fields.
Thomas Otway*, University of Texas, Austin
(8483518)

Sunday April 16, 1989, 8:30 a.m.9:50 a.m.
Special Session on Knot Theory and Algebraic Geometry in the Large, III
Room 359, Swords Hall

8:30 a.m.
Cohopficity of $3$manifold groups.
F. Gonz\'alezAcu\~na, University Nac Autonoma de Mexico
Wilbur Whitten*, University of Southwestern Louisiana
(8485740)

9:00 a.m.
Spherical $3$orbifolds which do not fiber over $2$orbifolds.
William Dunbar*, Pennsylvania State University, Erie
(8485727)

9:30 a.m.
Skein modules of an interval bundle over a surface.
Jim Hoste, Pomona College
J\'ozef H. Przytycki*, University of British Columbia and Warsaw University, Poland
(8485747)

Sunday April 16, 1989, 10:00 a.m.11:00 a.m.
Invited Address

Sunday April 16, 1989, 12:30 p.m.1:30 p.m.
Invited Address
The arithmetic of elliptic curves.
Room 103, Haberlin Hall
Karl Rubin*, Columbia University
(8481190)

Sunday April 16, 1989, 1:45 p.m.3:35 p.m.
Special Session on Infinitedimensional Symmetries in Mathematics and Physics, IV
Room 236, Haberlin Hall

1:45 p.m.
Einstein's equations and representation theory.
Bertram Kostant*, Massachusetts Institute of Technology
(8482283)

2:15 p.m.
A Jacobi identity for relative twisted vertex operators.
Chongying Dong*, Rutgers University, New Brunswick
James Lepowsky, Rutgers University, New Brunswick
(8481758)

2:45 p.m.
Relative ${\bf Z}_2$twisted vertex operators and standard $sl(2)\ ^\tilde$modules.
Cristiano Husu*, Rutgers University, New Brunswick
(8481760)

3:15 p.m.
String path integral realization of vertex operator algebras.
Haruo Tsukada*, University of California at San Diego, La Jolla
(8482297)

Sunday April 16, 1989, 1:45 p.m.3:05 p.m.
Special Session on Gauge Theory and Differential Geometry, IV
Room 328, Swords Hall

1:45 p.m.
Smooth $2$spheres in indefinite $4$manifolds.
Daniel Ruberman*, Brandeis University
(8485778)

2:10 p.m.
Applications of fixed point varieties of unipotent transformations to the space of $SU(n)$instantons on the foursphere.
Martin A. Guest*, University of Rochester
(8488135)

2:45 p.m.
Discussion

Sunday April 16, 1989, 1:45 p.m.3:05 p.m.
Special Session on Lfunctions and Arithmetic, IV
Room 414, Haberlin Hall
Inquiries: meet@ams.org