Program of the Sessions San Francisco, California, May 3–4, 2003 Special Session on Numerical Methods, Calculations Saturday, May 3 and Simulations in Knot Theory and Its Applications, I Meeting Registration 8:00 AM –10:50AM Room 327, Thornton Hall 7:30 AM –4:00PM Main Lobby (3rd Floor), Thornton Hall Organizers: Jorge Alberto Calvo, North Dakota State University AMS Exhibit and Book Sale Kenneth C. Millett, University of California Santa Barbara 7:30 AM –4:00PM Room 331, Thornton Hall Eric J. Rawdon, Duquesne University 8:00AM Numerical simulations of random knotting using Special Session on Efficient Arrangements of Convex (6) the FVM method. Bodies, I Rob Scharein*, Centre for Experimental and Constructive Mathematics, and Greg Buck,St. 8:00 AM –10:40AM Room 211, Thornton Hall Anselm College (987-55-193) Organizers: Dan P. Ismailescu, Hofstra University 8:30AM Thermodynamics and Topology of Disordered Wlodzimierz Kuperberg, Auburn (7) Knots: Correlations in Trivial Lattice Knot University Diagrams. Sergei Nechaev, LPTMS (Orsay, France) (987-62-98) 8:00AM The cardinality of a finite saturated packing of (1) convex bodies in Ed. 9:00AM Scaling behavior of the average crossing number in Valeriu Soltan, George Mason University (8) equilateral random knots. Preliminary report. (987-52-45) Akos Dobay, University of Lausanne, Yuanan Diao, University of North Carolina at Charlotte, Rob 8:30AM Lattice packings with a gap are not completely Kusner, University of Massachusetts at Amherst, (2) saturated. and Andrzej Stasiak*, University of Lausanne Greg Kuperberg,UC-Davis,Krystyna Kuperberg* (987-54-142) and Wlodzimierz Kuperberg, Auburn University (987-52-86) 9:30AM Scaling Behavior of Closed and Open Random Knots. 9:00AM On an area inequality related to Tarski’s plank (9) Akos Dobay*, Dubochet Jacques, University of (3) problem. Lausanne, Kenneth C. Millett, University of Andras Bezdek, Auburn University, AL California, Santa Barbara, Pierre-Edouard Sottas, (987-52-159) Swiss Federal Institute of Technology, and Andrzej Stasiak, University of Lausanne (987-65-140) 9:30AM Cyclic polytopes,hyperplanes and codes. (4) TBisztriczky*, U. of Calgary, K. Boroczky, Jr., 10:00AM Topological entropic force associated with the Renyi Institute, and D S Gunderson, U. of Manitoba (10) topological swelling of random knots and links. (987-52-49) Tetsuo Deguchi, Dept. of Physics, Ochanomizu University (987-82-105) 10:00AM Isohedral multiple tilings of the sphere and (5) isohedral polyhedra related to them. Preliminary 10:30AM An Exploration of the Local Structure of Knot Space. report. (11) Preliminary report. Branko Gru¨nbaum, University of Washington, Kenneth C. Millett, University of California,Santa Seattle, WA 98195(987-52-34) Barbara (987-57-201) The time limit for each contributed paper in the sessions is ten minutes. found in Volume 24, Issue 3of Abstracts of papers presented to the In the Special Sessions the time limit varies from session to session and American Mathematical Society, ordered according to the numbers in within sessions. To maintain the schedule, time limits will be strictly parentheses following the listings. The middle two digits, e.g., 897-20- enforced. 1136, refer to the Mathematical Reviews subject classification assigned For papers with more than one author, an asterisk follows the name of by the individual author. Groups of papers for each subject are listed the author who plans to present the paper at the meeting. chronologically in the Abstracts. The last one to four digits, e.g., 897-20- Papers flagged with a solid triangle () have been designated by the 1136, refer to the receipt number of the abstract; abstracts are further author as being of possible interest to undergraduate students. sorted by the receipt number within each classification. Abstractsofpaperspresentedin the sessions at this meeting will be Appendix–2 NOTICES OF THE AMS VOLUME 50, NUMBER 5 San Francisco,CA,Saturday,May 3 – Program of the Sessions Special Session on PDEs and Applications in 10:00AM From moduli space of curves to Gromov-Witten Geometry, I (24) invariants. Xiaobo Liu, University of Notre Dame (987-53-78) 8:00 AM –10:40AM Room 325, Thornton Hall Organizer: Qi S. Zhang, University of California Special Session on Q-Series and Partitions, I Riverside 8:00AM Existence and Nonexistence Results on Nonlinear 8:30 AM –10:40AM Room 210, Thornton Hall (12) Equations. Preliminary report. Organizer: Neville Robbins, San Francisco State Mingxin Wang, Southeast University (987-35-204) University p 9:00AM Lδ spaces,heat semigroups and applications to 8:30AM Divisibility properties of p-regular partition (13) nonlinear parabolic and elliptic problems. (25) functions. Preliminary report. Preliminary report. David K Penniston, Furman University Philippe P Souplet, Univ. de Picardie and Univ. de (987-11-152) Versailles, France (987-35-179) 9:00AM Gordon’s Theorem For Overpartitions. 10:00AM The Convergent Rate for Solutions of Dirichlet (26) Jeremy Lovejoy, CNRS, Universite Bordeaux I, and (14) Problems of Quasilinear Equations. University of Wisconsin (987-11-85) Zhiren Jin*andKirk Lancaster, Wichita State University (987-35-36) 9:30AM Arithmetic properties of the partition function. (27) Matthew G. Boylan, University of Illinois at Urbana-Champaign (987-11-82) Special Session on Commutative Algebra, I 10:00AM Congruence properties of the partition function (28) p(n). 8:00 AM –10:50AM Room 429, Thornton Hall Ken Ono*, University of Wisconsin, and Jan Organizers: Raymond C. Heitmann, University of Bruinier, University of Cologne (987-11-52) Texas at Austin Irena Swanson,NewMexicoState Special Session on Combinatorial Commutative University Algebra and Algebraic Geometry, I 8:00AM Annihilators of local cohomology in characteristic (15) zero. Preliminary report. 8:30 AM –10:50AM Room 432, Thornton Hall Paul C. Roberts, University of Utah (987-13-108) 8:30AM Characterization of Completions of Excellent Organizers: Serkan Hosten, San Francisco State (16) Domains of Characteristic Zero. University S. Loepp, Williams College (987-13-38) Ezra Miller, Mathematical Sciences 9:00AM The plus closure of an ideal under degree three Research Institute (17) extensions. Preliminary report. 8:30AM Ideals with a power equal to a power of the Leslie Hayes, Saint Joseph’s University (29) maximal ideal. Preliminary report. (987-13-181) David Eisenbud*, MSRI / UC Berkeley, Craig 9:30AM Associated primes of local cohomology modules and Huneke,UofKansas,andBernd Ulrich,PurdueU (18) Frobenius powers of ideals. (987-13-77) Anurag K Singh*, Georgia Institute of Technology, 9:00AM Minimal Primes of Adjacent Minor Ideals. and Irena Swanson, New Mexico State University (30) Preliminary report. (987-13-111) Serkan Hosten, San Francisco State University, and 10:00AM An inquality involving colengths of tight closure of Seth Sullivant*, University of California, Berkeley (19) parameter ideals. (987-05-135) Catalin Ciuperca*, University of California, 9:30AM Complexity in Commutative Algebra. Preliminary Riverside, and Florian Enescu, University of Utah (31) report. (987-13-131) Amelia Taylor*, Rutgers University, Dave Bayer, 10:30AM Splitting in module-finite extension rings and the Barnard College, and Wolmer Vasconcelos, (20) vanishing conjecture for maps of Tor. Rutgers University (987-13-143) Nandini Ranganathan, Reed College (987-13-202) 10:00AM Beyond Tutte-Grothendieck: A new recursion for (32) matroids and shifted complexes. Preliminary report. Special Session on Gromov-Witten Theory of Spin Art Duval, University of Texas at El Paso Curves and Orbifolds, I (987-05-125) 10:30AM Lexicographic Shifting. Preliminary report. 8:00 AM –10:40AM Room 335, Thornton Hall (33) Rekha R Thomas*, EBabsonand INovik, University of Washington (987-13-147) Organizers: Tyler Jarvis, Brigham Young University Takashi Kimura, Boston University Special Session on Beyond Classical Boundaries of Arkady Vaintrob, University of Oregon Computability, I 8:00AM Gerbe and twisted orbifold quantum cohomology. (21) Preliminary report. 8:30 AM –10:50AM Room 329, Thornton Hall Yongbin Ruan, Wisconsin/HKUST (987-53-104) 9:00AM Inertia Orbifolds,Configuration Spaces and the Organizers: Mark Burgin, University of California (22) Ghost Loop Space. Los Angeles Ernesto Lupercio*, University of Wisconsin, and Peter Wegner, Brown University Bernardo Uribe, Max Planck Institute (987-55-171) 8:30AM Supertask computation with infinite time Turing 9:30AM Gerbes over orbifolds and their TQFTs. (34) machines. (23) Bernardo Uribe, Max Planck Institut fuer Joel David Hamkins, Georgia State University Mathematik (987-55-61) (987-03-09) MAY 2003 NOTICES OF THE AMS Appendix–3 Program of the Sessions – San Francisco,CA,Saturday,May 3 (cont’d.) 9:00AM Computation in Pitowsky and Malament-Hogarth 9:00AM Multiple Solutions for Impulsive Functional (35) Spacetimes. (46) Differential Equations. Oron Shagrir, The Hebrew University of Jerusalem Mouffak Benchohra, Universite de Sidi Bel Abbes, (987-68-20) Johnny Henderson*, Baylor University, Sotiris K. 9:30AM Quantum Mechanical Principles and Computation. Ntouyas, University of Ioannina, and A. Ouahabi, (36) Preliminary report. Universite de Sidi Bel Abbes (987-34-17) Tien D Kieu, Swinburne University of Technology 9:30AM Massera’s Theorem for Almost Periodic Solutions (987-81-10) (47) and Almost Automorphic Solutions of Functional 10:00AM Hypercomputation by Definition. Preliminary report. Differential Equations. (37) Benjamin Wells, University of San Francisco Satoru Murakami,