AMS Sectional Meeting Full Program
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1997 Fall Central Sectional Meeting
Milwaukee, WI, October 2425, 1997
Meeting #927
Associate secretaries:
Susan J Friedlander, AMS
susan@math.northwestern.edu
Friday October 24, 1997

Friday October 24, 1997, 7:30 a.m.4:30 p.m.
Meeting Registration
Lobby, Engineering and Mathematical Sciences Building

Friday October 24, 1997, 8:00 a.m.10:50 a.m.
Special Session on Operator Theory and Function Spaces, I
Room 137, Physics Building
Organizers:
\v Zeljko \v Cu\v ckovi\'c, University of Toledo zcuckovi@math.utoledo.edu

8:00 a.m.
Schroeder's Equation in Several Variables
Carl C. Cowen*, Purdue University
Barbara D. MacCluer, University of Virginia
(92732115)

8:30 a.m.
Composition Operators On BMOA
Joseph A. Cima*, University of North Carolina at Chapel Hill
Paul Bourdon, Washington and Lee University
Alec Matheson, Lamar University
(92730132)

9:00 a.m.
Compact Operators via the Berezin Transform
Sheldon Axler*, San Francisco State University
Dechao Zheng, Vanderbilt University
(9274737)

9:30 a.m.
Reproducing kernels of weighted Bergman spaces, quantization and mean value theorems
Miroslav Engli{\v s}*, Mathematics Institute of the Academy of Sciences of the Czech Republic
(9274661)

10:00 a.m.
Bergman Kernel Asymptotics
Richard Rochberg*,
Finbarr Holland,
(92746181)

10:30 a.m.
Mellin transform, monomial symbols and commuting Toeplitz operators
Zeljko Cuckovic,
N V Rao*,
(92730110)

Friday October 24, 1997, 8:00 a.m.4:30 p.m.
Exhibit and Book Sale
Room W101, Engineering and Mathematical Sciences Building

Friday October 24, 1997, 8:30 a.m.10:50 a.m.
Special Session on Low Dimensional Dynamics, I
Room E180, Engineering and Mathematical Sciences Building
Organizers:
Karen M. Brucks, University of WisconsinMilwaukee kmbrucks@csd.uwm.edu
Beverly E. J. Diamond, University of Charleston bdiamond@nsf.gov

8:30 a.m.
Closing the gaps of a Cantor Julia set in quadratic polynomials.
Pau Atela*, Smith College
(92758147)

9:00 a.m.
Quadratic Julia sets and irrationally indifferent periodic orbits
John C. Mayer*, UAB
(92758240)

9:30 a.m.
Indecomposable Continua as Boundaries of Siegel Disks
James T. Rogers, Jr.*, Tulane University
(92758221)

10:00 a.m.
Recurrent critical points and typical limit sets of rational maps
Alexander Blokh, UAB
John Mayer, UAB
Lex G. Oversteegen*, UAB
(92758230)

10:30 a.m.
Higher dimensional ``solenoids'' as bundles
Robert F. Williams*,
(9275840)

Friday October 24, 1997, 8:30 a.m.10:50 a.m.
Special Session on Geometric Topology and Geometric Group Theory, I
Room E159, Engineering and Mathematical Sciences Building
Organizers:
Fredric Davis Ancel, University of WisconsinMilwaukee ancel@csd.uwm.edu
Craig R. Guilbault, University of WisconsinMilwaukee craigg@csd.uwm.edu

8:30 a.m.
Homogeneity of Boundaries of right angled Coxeter groups having manifold nerves.
Hanspeter Fischer*, University of Wisconsin  Milwaukee
(92757143)

9:00 a.m.
Resolving infinitedimensional homology manifolds.
Steven C Ferry*, SUNY at Binghamton
(92757323)

9:30 a.m.
A cut point theorem for 2dimensional CAT(0) groups.
Eric L. Swenson*, Brigham Young University
(92720191)

10:00 a.m.
Rigidity theorems for singular spaces.
Boris Okun*, OSU
Michael Davis, OSU
Fangyang Zheng, OSU
(92751336)

10:30 a.m.
Algebraic Annulus and Torus Theorems
Peter Scott*, Michigan
Gadde A. Swarup,
(92757201)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Computability Theory, I
Room E150, Engineering and Mathematical Sciences Building
Organizers:
Steffen Lempp, University of Wisconsin, Madison lempp@math.wisc.edu
Robert I. Soare, University of Chicago soare@cs.uchicago.edu

9:00 a.m.
A c.e., noncomputable Boolean algebra of rank 1
Rod Downey, Victoria University of Wellington
Carl Jockusch*, University of Illinois at UrbanaChampaign
(9270345)

9:30 a.m.
On invariants of automorphic hhsimple sets
Eberhard Herrmann*, Humboldt University, Berlin
(92703149)

10:00 a.m.
Some Examples of Degree Spectra of Relations
Denis R. Hirschfeldt*, Cornell University
(9270376)

10:30 a.m.
Degrees of unsolvability of real numbers
Anthony Dunlop, University of Minnesota, Minneapolis
Marian B. PourEl*, University of Minnesota, Minneapolis
(9270386)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Concentration Phenomena in Differential Equations, I
Room 127, Physics Building
Organizers:
Lia Bronsard, McMaster University bronsard@icarus.math.mcmaster.ca
WeiMing Ni, University of Minnesota

9:00 a.m.
Chaotic solutions for a Hamiltonian system on a torus
Paul H Rabinowitz*,
(92734126)

9:40 a.m.
Multipeaked solutions to the CahnHilliard Equation
Peter W Bates*, BYU
(9273596)

10:20 a.m.
Spiky solutions in classical LotkaVolterra competitiondiffusion model
Yuan Lou*, University of Chicago
WeiMing Ni, University of Minnesota
(9273564)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Harmonic Analysis and Its Applications, I
Room 143, Physics Building
Organizers:
LungKee Chen, Oregon State University
Dashan Fan, University of WisconsinMilwaukee fan@csd.uwm.edu
YiBiao Pan, University of Pittsburgh

9:00 a.m.
A conjecture related to the AhlforsBeurling transform in the plane.
Albert Baernstein, II*, Washington University, St.Louis, MO 63130
Stephen John MontgomerySmith, University of Missouri, Columbia, Missouri, 652110001
(92742192)

9:30 a.m.
On interpolation inequalities and semiliner equations on the Heisenberg and stratified groups.
Guozhen Lu*, Wright State University
(92735205)

10:00 a.m.
Uniqueness for multiple trigonometric series I
J. Marshall Ash*, DePaul University
Gang Wang, DePaul University
(92742229)

10:30 a.m.
Uniqueness for multiple trigonometric series II
Gang Wang*, DePaul University
J. Marshall Ash, DePaul University
(92742232)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Rings and Modules, I
Room W110, Engineering and Mathematical Sciences Building
Organizers:
Karl Andrew Kosler, University of Wisconsin CentersWaukesha kkosler@uwcmail.uwc.edu
Shubhangi S. Stalder, University of Wisconsin CentersWaukesha sstalder@uwc.edu

9:00 a.m.
The noncommutative NoetherLasker theorem for modules
John Dauns*, Tulane University
(92716107)

9:30 a.m.
Monoids and Categories of Modules
Gary Brookfield*, University of WisconsinMadison
(9271679)

10:00 a.m.
Primeness condition for enveloping algebras of color Lie superalgebras
Kenneth L. Price*, University of Wisconsin, Milwaukee
(9271609)

10:30 a.m.
Decompositions of torsion free injective modules into types
Maria ArroyoPaniagua*, UAMIztapalapa
Jose Rios, UNAM
(9271688)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Enveloping Algebras and Quantum Groups, I
Room E160, Engineering and Mathematical Sciences Building
Organizers:
Ian M. Musson, University of WisconsinMilwaukee musson@csd.uwm.edu
Yi Ming Zou, University of WisconsinMilwaukee ymzou@csd.uwm.edu

9:00 a.m.
Constructing pointed Hopf algebras by Ore extensions.
Margaret Beattie*, Mount Allison U.
Sorin Dascalescu, U. Bucharest
Luzius Grunenfelder, Dalhousie U.
(92716343)

9:30 a.m.
Galois Extensions relative to Polynomial Algebras and Enveloping Algebras
Allen D. Bell*, UWMilwaukee
(92716288)

10:00 a.m.
Downup Algebras
Georgia Benkart*, University of Wisconsin, Madison
Tom Roby, California State University, Hayward
(92716282)

10:30 a.m.
Prime Ideals of the Enveloping Algebra $U(sl_3)$.
Stefan Catoiu*, Temple University, Philadelphia
(92716333)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Eigenvalue Problems for Differential Equations, I
Room 149, Physics Building
Organizers:
Hans W. Volkmer, University of WisconsinMilwaukee volkmer@csd4.milw.wisc.edu
Paul A. Binding, University of Calgary binding@acs.ucalgary.ca

9:00 a.m.
On a class of nonlocal operators
Walter Allegretto*, University of Alberta
(9273526)

9:40 a.m.
Computing Eigenvalues of Limit Circle SturmLiouville Problems
Paul B Bailey*,
(9273483)

10:20 a.m.
SturmLiouville problems with eigenparameter dependent boundary conditions
Patrick J. Browne*, Department of Mathematics and Statistics, University of Saskatchewan,
(92747260)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Symplectic Topology and Quantum Cohomology, I
Room E204, Engineering and Mathematical Sciences Building
Organizers:
YongGeun Oh, University of Wisconsin oh@math.wisc.edu
Yongbin Ruan, University of Utah ruan@math.wisc.edu

9:00 a.m.
Topological recursion relations in genus 2
Ezra Getzler*, Northwestern University
(9271463)

9:30 a.m.
A geometric construction of Getzler's elliptic equation.
Rahul Pandharipande*, University of Chicago
(92758207)

10:00 a.m.
Symplectic surgeries along spheres
Margaret F Symington*, University of Texas, Austin
(92753197)

10:30 a.m.
The Rigidity of Hamiltonian Loops
Dusa McDuff*, SUNY at Stony Brook
Fran\c{c}ois Lalonde, Universit\'e de Qu\'ebec \`a Montreal
Leonid Polterovich, TelAviv University
(92758146)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Analysis with Wavelets, I
Room 145, Physics Building
Organizers:
Gilbert G. Walter, University of WisconsinMilwaukee ggw@csd.uwm.edu
Ahmed I. Zayed, University of Central Florida zayed@pegasus.cc.ucf.edu

9:00 a.m.
Convergence of multiwavelets
Luchuan Cai*, UWMilwaukee
(92742278)

9:30 a.m.
Banach Frames and Wavelet Convergence
Linda M. Davis*,
(9274339)

10:00 a.m.
Nonhomogeneous refinement equations.
Thomas B Dinsenbacher*, Vanderbilt University
Douglas P Hardin, Vanderbilt University
(92739308)

10:30 a.m.
Compactly Supported Wavelets in 2D.
George C Donovan*, Princeton University
Jeffrey S Geronimo, Georgia Institute of Technology
Douglas P Hardin, Vanderbilt University
(92743305)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Differential Geometry, I
Room E220, Engineering and Mathematical Sciences Building
Organizers:
Hongyou Wu, Northern Illinois University wu@math.niu.edu

9:00 a.m.
Dupin hypersurfaces with four principal curvatures
Gary R. Jensen*, Washington University
Thomas E. Cecil, College of the Holy Cross
(92753179)

9:40 a.m.
Quadratic Differentials and Conformal Immersions
George I Kamberov*,
(92753259)

10:20 a.m.
Minimal surfaces via loop groups.
Josef Dorfmeister, University of Kansas
Franz Pedit, University of Massachusetts
Magdalena Daniela Toda*, The University of Kansas
(92753182)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Semigroups and Their Applications, I
Room 147, Physics Building
Organizers:
Karl E. Byleen, Marquette University karlb@marque.mscs.mu.edu
Peter R. Jones, Marquette University jones@mscs.mu.edu

9:00 a.m.
One relator inverse monoids with trivial group of units.
John C Meakin*, University of Nebraska at Lincoln
(92720344)

9:30 a.m.
HNN extensions of semilattices
Akihiro Yamamura*, Telecommunications Advancement Organization of Japan
(92720111)

10:00 a.m.
HNNextensions of inverse semigroups.
Tatiana Jajcayova*, University of Nebraska at Lincoln
(92720335)

10:30 a.m.
Endomorphisms of finite symmetric semigroups.
Boris M. Schein*, University of Arkansas, Fayetteville, Arkansas
(92720281)

Friday October 24, 1997, 9:00 a.m.10:50 a.m.
Special Session on Applications of Model Theory to Analysis and Topology, I
Room W130, Engineering and Mathematical Sciences Building
Organizers:
Paul J. Bankston, Marquette University paulb@marque.mscs.mu.edu
H. Jerome Keisler, University of Wisconsin

9:00 a.m.
On the Microscopic Behavior of Measurable Functions
Peter A. Loeb*, University of Illinois, ChampaignUrbana
(9272855)

9:30 a.m.
$\sigma$homomorphisms into the Loeb $\sigma $algebra.
Hermann H. Render*,
(92728188)

10:00 a.m.
Automorphisms of the Gurarii Space.
C.\ Ward Henson*, University of Illinois at UrbanaChampaign
(92746332)

10:30 a.m.
Embedded finite model theory
MIchael A Benedikt*, BelL Laboratories
(92703172)

Friday October 24, 1997, 10:00 a.m.10:50 a.m.
Special Session on KTheory and Motives, I
Room W109, Engineering and Mathematical Sciences Building
Organizers:
Daniel Richard Grayson, University of Illinois, UrbanaChampaign dan@math.uiuc.edu

10:00 a.m.
Adams operations and the Dennis trace mapthe Rational case
Miriam R Kantorovitz*,
(92719199)

10:30 a.m.
Operations on locally free classgroups
Bernhard K\"ock*,
(9271923)

Friday October 24, 1997, 11:00 a.m.11:50 a.m.
Invited Address
Noncommutative geometry and characteristic classes
Room E190, Engineering and Mathematical Sciences Building
Henri Moscovici*, Ohio State University
(9270001)

Friday October 24, 1997, 1:30 p.m.2:20 p.m.
Invited Address
Mixed motives
Room E190, Engineering and Mathematical Sciences Building
Spencer J. Bloch*, University of Chicago

Friday October 24, 1997, 2:30 p.m.5:50 p.m.
Special Session on Computability Theory, II
Room E150, Engineering and Mathematical Sciences Building
Organizers:
Steffen Lempp, University of Wisconsin, Madison lempp@math.wisc.edu
Robert I. Soare, University of Chicago soare@cs.uchicago.edu

2:30 p.m.
Some Definability Aspects of Vaught's Conjecture
Gerald E. Sacks*,
(9270354)

3:00 p.m.
Two results about exact pairs
Kevin Wald*, University of Chicago
(92703176)

3:30 p.m.
Feasible Theories and Models
Douglas Cenzer*, Department of Mathematics, University of Florida, Gainesville, FL
(9270333)

4:00 p.m.
Jump Traces with Large Gaps
Peter G. Hinman*, University of Michigan
(9270371)

4:30 p.m.
Enumerations, countable structures and Turing Degrees
Stephan K Wehner*,
(92703106)

5:00 p.m.
Downward Density and the $\Delta_2^0$ Generic Degrees
Benjamin J Schaeffer*, University of Illinois
(9270343)

5:30 p.m.
True approximations
Julia F. Knight*, University of Notre Dame
(9270357)

Friday October 24, 1997, 2:30 p.m.6:20 p.m.
Special Session on Low Dimensional Dynamics, II
Room E180, Engineering and Mathematical Sciences Building
Organizers:
Karen M. Brucks, University of WisconsinMilwaukee kmbrucks@csd.uwm.edu
Beverly E. J. Diamond, University of Charleston bdiamond@nsf.gov

2:30 p.m.
Transverse homoclinic orbits without horseshoes
Evelyn Sander*, CDSNS, Georgia Tech
(9275875)

3:00 p.m.
Generic properties of open billiards
R. Daniel Mauldin*, Univ. of North Texas
(92758103)

3:30 p.m.
Conjectures on Discontinuous Bifurcations in Two Dimensions
James A. Yorke*, University of Maryland
(92758242)

4:00 p.m.
Dynamics of Basic Sets
Kathleen T. Alligood*, George Mason University
(92758246)

4:30 p.m.
Smooth Flows on Exotic Manifolds
John B. Etnyre, Stanford University
Robert W. Ghrist*, Univ. of Texas, Austin
(92758190)

5:00 p.m.
The dynamics of surface homeomorphisms
Andr\'e S. de Carvalho*, University of California at Berkeley
(92758292)

5:30 p.m.
Prime End Rotation Numbers for Attractors in the Henon Family
Chris Cleveland,*, UCLA
(92758171)

6:00 p.m.
Entropy and Rotation Intervals for Circle Maps Near Saddlenode Bifurcations
Todd R. Young*, Ohio University
(92758131)

Friday October 24, 1997, 2:30 p.m.6:00 p.m.
Special Session on Concentration Phenomena in Differential Equations, II
Room 127, Physics Building
Organizers:
Lia Bronsard, McMaster University bronsard@icarus.math.mcmaster.ca
WeiMing Ni, University of Minnesota

2:30 p.m.
LiapunovSchmidt procedure and singularly perturbed probelms
Yanyan Li*, Rutgers Univ.
Louis Nirenberg, Courant Institute, New York Univ.
(92735100)

3:00 p.m.
Semiclassical states for nonlinear schr\"odinger equations.
Manuel del Pino, Universidad de Chile
Patricio Felmer*, Universidad de Chile
(92735293)

3:30 p.m.
A localization method for some singularly perturbed elliptic problems
Manuel Del Pino*,
Patricio L Felmer,
(92735124)

4:00 p.m.
Break

4:30 p.m.
Scalar curvature equation on $S^n$
ChangShou Lin*,
(92735129)

5:00 p.m.
Interior multiple spikes in the shadow GiererMeinhardt system
Michal Kowalczyk*,
(92735225)

5:30 p.m.
Vortices of Solutions of GinzburgLandau Equation
XingBin Pan*,
(92735128)

Friday October 24, 1997, 2:30 p.m.5:50 p.m.
Special Session on Harmonic Analysis and Its Applications, II
Room 143, Physics Building
Organizers:
LungKee Chen, Oregon State University
Dashan Fan, University of WisconsinMilwaukee fan@csd.uwm.edu
YiBiao Pan, University of Pittsburgh

2:30 p.m.
$(L^p, L^p)$mapping properties for oscillatory integrals in $R^n$.
Gary Sampson*,
Pawel Szeptycki,
(92742160)

3:00 p.m.
LittlewoodPaley theory on product spaces of homogeneous type.
Y. S. Han*, Auburn University
(92742303)

3:30 p.m.
A transference theorem for ergodic $H^1$.
Nakhle H Asmar, University of Missouri
Stephen J MontgomerySmith*, University of Missouri
(92743314)

4:00 p.m.
Singular Integrals with Rough Kernels along Realanalytic Submanifold
Dashan Fan,
Kanghui Guo*,
Yibiao Pan,
(92742204)

4:30 p.m.
Discussion

5:00 p.m.
A waveletbased method for extracting speech from background noise.
Jonathan Cohen*, DePaul University
Nathaniel A. Whitmal, III, Depaul University
Janet C. Rutledge,
(92742231)

5:30 p.m.
Function Theory in $H^2(D\times D)$ and Connections with Operator Theory .
Tavan T. Trent*, The University of Alabama
(92732320)

Friday October 24, 1997, 2:30 p.m.5:20 p.m.
Special Session on Operator Theory and Function Spaces, II
Room 137, Physics Building
Organizers:
\v Zeljko \v Cu\v ckovi\'c, University of Toledo zcuckovi@math.utoledo.edu

2:30 p.m.
Measure induced by analytic functions and a problem of Walter Rudin
Carl Sundberg*, University of Tennessee
(9274794)

3:00 p.m.
Invariant subspaces of Bergman space
Peter L. Duren*, University of Michigan, Ann Arbor
Michael Stessin, SUNY at Albany
(9273087)

3:30 p.m.
Invariant subspaces with index $\geq 2$
Stefan Richter*, University of Tennessee, Knoxville
(9274785)

4:00 p.m.
Closed Ideals of Bounded Analytic Functions
Pamela B Gorkin*, Bucknell University
Raymond R Mortini, Universit/'e de Metz
(9274650)

4:30 p.m.
Operators that dominate normal operators
Jim Agler, U.C. San Diego
John E. M\raise.5ex\hbox{c}Carthy*, Washington University
(9274715)

5:00 p.m.
Cyclic Vectors for the Commutant of a Generalized Backward Shift Operator
Kit C Chan*, Bowling Green State University
(9274741)

Friday October 24, 1997, 2:30 p.m.6:20 p.m.
Special Session on Geometric Topology and Geometric Group Theory, II
Room E159, Engineering and Mathematical Sciences Building
Organizers:
Fredric Davis Ancel, University of WisconsinMilwaukee ancel@csd.uwm.edu
Craig R. Guilbault, University of WisconsinMilwaukee craigg@csd.uwm.edu

2:30 p.m.
Multiplicities of boundary slopes in knot exteriors.
Marc Culler, Univ. of Illinois at Chicago
Peter B Shalen*, Univ. of Illinois at Chicago
(92757324)

3:00 p.m.
Boundary slopes and genera of incompressible surfaces in knot exteriors.
Marc Culler*, Univ. of Illinois at Chicago
Peter B Shalen, Univ. of Illinois at Chicago
(92757325)

3:30 p.m.
Properties of convergence groups and spaces
Eric M Freden*, Utah State University
(92757177)
