BOWLING GREEN STATE UNIVERSITY DEPARTMENT OF MATHEMATICS AND STATISTICS CALENDAR Week of February 24-28 Monday, February 24 3:15 PM Coffee 3:45 PM COLLOQUIUM - Room 459 MSC Stefan Catoiu, University of Wisconsin, Madison "Ideals in tensor powers of the enveloping algebra U(sl_2)" Abstract: If K is an arbitrary field of characteristic zero, the enveloping algebra U = U(sl_2(K)) is the polynomial ring in the noncommuting indeterminates a,b,z subject to the relations ab-ba=a, za-az=2a, and zb-bz=-2b. Using the representation theory of sl_2 we can describe all two-sided ideals of U. Precisely, if I is an ideal of U, then there exists a single generator f_I for I which s unique subject to certain additional conditions. Thus, all the properties of I are encoded in this generator f_I. See posters in the department for the continuation of the abstract. Tuesday, February 25 2:30 PM STATISTICS SEMINAR - Room 459 MSC P. K. Sen, Distinguished Lukacs Professor, BGSU. "Adaptive rank tests for location" 3:30 PM ANALYSIS SEMINAR - Room 459 MSC Gabor Szekely, Dept. of Mathematics and Statistics, BGSU. "Applications of Wiener-Levy's theorem on Fourier transforms of L_1 functions" Wednesday, February 26 3:30 PM STATISTICS AND PROBABILITY SEMINAR - Room 300 MSC *** Note change in location *** Jim Albert, Dept. of Mathematics and Statistics, BGSU. "Hierarchical modeling and Bayes factors - Part II" 4:30 PM PHYSICS DEPARTMENT SEMINAR - Room 106 Overman Ken Elder, Oakland University "Numerical Investigation of State Selection in Non-Equilibrium Systems" Abstract: The appearance of lamellar or periodic states in driven non-equilibrium systems is an interesting phenomena that occurs in many systems such as in Rayleigh Benard convection, directional solidification, parametrically driven surface waves, electroconvection and directional viscous fingering. Quite often these lamellar states are destabilized by secondary instabilities leading toward phases that are chaotic or disordered in both space and time. For spatially extended systems this phenomena is commonly referred to as spatiotemporal chaos. In this talk I would like to discuss the selection of such states in a simple model of directional solidification known as the damped Kuramoto Sivashinsky equation. Extensive numerical simulations of this equation are used to explore the selection of the non-equilibrium states and to describe the period/chaotic transition in both one and two dimensions. 7:30 PM KME MOVIE Copyright restrictions only allow us to call this "The movie about computer hackers that might have been named Tennis Shoes" Contact Kim Nettling, knettli@bgnet Thursday, February 27 2:30 PM SCIENTIFIC COMPUTATION SEMINAR - Room 459 MSC J. Gordon Wade, Dept. of Mathematics and Statistics, BGSU. "Computational aspects of total variation minimization" Abstract available via WWW at: http://www-math.bgsu.edu/~gwade/copper97/ 3:30 PM ALGEBRA SEMINAR - Room 459 MSC Curtis Bennett, Dept. of Mathematics and Statistics, BGSU. "Connected components of the Universal Twin" Friday, February 28 3:30 PM Coffee 3:45 PM COLLOQUIUM - Room 459 MSC Michael Anthony Bennett, University of Michigan, Ann Arbor "On simultaneous Pell equations and ranks of elliptic curves" Abstract: If a is a positive square integer, then the Pell equation x^2-az^2=1 has infinitely many solutions in positive integers, corresponding to units in the related quadratic field. If, however, a and b are distinct nonzero integers, then the analogous situation for the simultaneous Diophantine equations x^2 - a z^2 =1 and y^2 - b z^2 = 1 is very different. We discuss these latter equations, with particular reference to the Mordell-Weil rank of families of certain elliptic curves. This announcement and a schedule of future colloquia are available on the Worldwide Web; see http://www.bgsu.edu/departments/math/. If you would like to place a link to this calendar on your page, use html code Department of Mathematics and Statistics Calendar If you wish to be placed on the e-mail distribution list, or have comments or material for the calendar, send email to