BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Fall 2000 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20001026T160000-andrea-bertozzi@math.utah.edu DTSTART;TZID=America/Denver:20001026T160000 DTEND;TZID=America/Denver:20001026T170000 DTSTAMP:20260821T120902Z SUMMARY:Pattern formation in coating flows: dewetting, shocks, and rupture DESCRIPTION:Speaker: Andrea Bertozzi\, Duke University\n\nStudies of thin liquid films give rise to a wealth of mathematical problems in nonlinear PDE and provide the opportunity for mathematicians to become involved in interdisciplinary research. I will review several recent problems in this area including the formation and stability of undercompressive … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2000-fall/ END:VEVENT BEGIN:VEVENT UID:20001102T160000-chris-peters@math.utah.edu DTSTART;TZID=America/Denver:20001102T160000 DTEND;TZID=America/Denver:20001102T170000 DTSTAMP:20260821T120902Z SUMMARY:Discriminant varieties: how to compute their cohomology DESCRIPTION:Speaker: Chris Peters\, University of Grenoble\n\nThe zero set V(f) of any homogeneous polynomial f of degree d in (n+1) variables can be viewed as a degree d hypersurface in projective n -space. Fixing the degree d and n, all such hypersurfaces are parametrized by the coefficients of the corresponding polynomial up to a constant factor. It turns … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2000-fall/ END:VEVENT BEGIN:VEVENT UID:20001114T160000-david-dobson@math.utah.edu DTSTART;TZID=America/Denver:20001114T160000 DTEND;TZID=America/Denver:20001114T170000 DTSTAMP:20260821T120902Z SUMMARY:Maximizing band gaps in periodic dielectric structures DESCRIPTION:Speaker: David Dobson\, Texas A&M\n\nCrystalline microstructures made from high-contrast dielectric materials have the interesting property that for certain material arrangements, the frequency spectrum for electromagnetic wave propagation admits a complete band gap. Such structures are relatively new and are expected to have a large … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2000-fall/ END:VEVENT BEGIN:VEVENT UID:20001130T160000-nikolai-makarov@math.utah.edu DTSTART;TZID=America/Denver:20001130T160000 DTEND;TZID=America/Denver:20001130T170000 DTSTAMP:20260821T120902Z SUMMARY:Laplacian growth models and Loewner's equation DESCRIPTION:Speaker: Nikolai Makarov\, Caltech\n\nLoewner's equation provides a powerful analytic tool and unified approach to the study of various aggregation processes in the complex plane (such as Laplacian random walks, Hele-Shaw and diffusion limited aggregation models). I will discuss some open problems and recent developments in this area. LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2000-fall/ END:VEVENT BEGIN:VEVENT UID:20001207T160000-lev-a.-borisov@math.utah.edu DTSTART;TZID=America/Denver:20001207T160000 DTEND;TZID=America/Denver:20001207T170000 DTSTAMP:20260821T120902Z SUMMARY:Toric varieties and modular forms DESCRIPTION:Speaker: Lev A. Borisov\, Columbia\n\nToric varieties are special algebraic varieties defined by some combinatorial data. It turns out that these data also define certain modular forms on the upper half plane, which we call toric forms. Linear span of toric forms has non-trivial number-theoretic properties, related to the conjecture of … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2000-fall/ END:VEVENT BEGIN:VEVENT UID:20001212T160000-panos-papasoglu@math.utah.edu DTSTART;TZID=America/Denver:20001212T160000 DTEND;TZID=America/Denver:20001212T170000 DTSTAMP:20260821T120902Z SUMMARY:Asymptotic topology and group splittings DESCRIPTION:Speaker: Panos Papasoglu\, Paris-Sud\n\nGromov's recent work on hyperbolic groups showed that one can study finitely generated groups via the 'large scale geometry' of their Cayley graphs. The appropriate geometric notion in this context is that of a quasi-isometry rather than isometry. In my talk I will focus on the decomposition theory … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2000-fall/ END:VEVENT END:VCALENDAR