BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Fall 2012 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20120906T160000-j%C3%A1nos-koll%C3%A1r@math.utah.edu DTSTART;TZID=America/Denver:20120906T160000 DTEND;TZID=America/Denver:20120906T170000 DTSTAMP:20260821T120902Z SUMMARY:Local topology of analytic spaces DESCRIPTION:Speaker: János Kollár\, Princeton University, currently visiting the University of Utah\n\nLet M be a subset of C n defined as the common zero set of some holomorphic functions. What can one say about the local structure of M ? It turns out that M is a smooth manifold almost everywhere. Our main interest is in the question: How complicated can M be at special points? As an exercise, you … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20120927T160000-mark-reeder@math.utah.edu DTSTART;TZID=America/Denver:20120927T160000 DTEND;TZID=America/Denver:20120927T170000 DTSTAMP:20260821T120902Z SUMMARY:Geometric Invariant Theory and epipelagic representations of p-adic groups DESCRIPTION:Speaker: Mark Reeder\, Boston College\n\nGeometric Invariant Theory (GIT) is the study of orbits of algebraic groups acting on vector spaces. Such actions arise in the "epipelagic zones" of a reductive p-adic group. Besides explaining the previous sentence, I will show how the GIT of epipelagic zones leads to new constructions of … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121018T160000-tyler-jarvis@math.utah.edu DTSTART;TZID=America/Denver:20121018T160000 DTEND;TZID=America/Denver:20121018T170000 DTSTAMP:20260821T120902Z SUMMARY:Binomial coefficients, exterior products, symmetric polynomials, and lambda rings in orbifold geometry DESCRIPTION:Speaker: Tyler Jarvis\, Brigham Young University, currently visiting the University of Utah\n\nI will talk about connections between binomial coefficients, exterior products, symmetric polynomials, and power sums. Although some of these ideas and relations predate Newton, they provide tools that are surprisingly useful for studying "modern" objects, including manifolds or varieties with group … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121108T160000-anna-vainchtein@math.utah.edu DTSTART;TZID=America/Denver:20121108T160000 DTEND;TZID=America/Denver:20121108T170000 DTSTAMP:20260821T120902Z SUMMARY:From discrete to continuum: kinetic relations and beyond DESCRIPTION:Speaker: Anna Vainchtein\, University of Pittsburgh\n\nPropagation of phase boundaries, cracks and dislocations in crystal lattices is associated with energy dissipation that takes place in atomically sharp transition zones. Classical continuum theories represent these lattice defects as singularities, and the information about their kinetics is lost. … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121115T160000-dieter-kotschick@math.utah.edu DTSTART;TZID=America/Denver:20121115T160000 DTEND;TZID=America/Denver:20121115T170000 DTSTAMP:20260821T120902Z SUMMARY:Characteristic numbers of algebraic varieties DESCRIPTION:Speaker: Dieter Kotschick\, Ludwig-Maximilians-Universität München\n\nThe Hirzebruch-Riemann-Roch theorem implies certain relations between the Hodge and Chern numbers of a complex projective variety. After proving his theorem in 1953, Hirzebruch formulated several natural problems about these characteristic numbers. For example, he asked to what extent the Hodge and … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121129T160000-skip-garibaldi@math.utah.edu DTSTART;TZID=America/Denver:20121129T160000 DTEND;TZID=America/Denver:20121129T170000 DTSTAMP:20260821T120902Z SUMMARY:Algebraic groups with the same tori DESCRIPTION:Speaker: Skip Garibaldi\, Emory University, visiting UC San Diego\n\nAre matrix groups determined by their maximal tori? Over number fields, this is an old question attributed to Shimura. Translated into a question about rings, it asks: Are division algebras with the same subfields isomorphic or anti-isomorphic? The answers to these two questions are in many cases … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121206T160000-tom-alberts@math.utah.edu DTSTART;TZID=America/Denver:20121206T160000 DTEND;TZID=America/Denver:20121206T170000 DTSTAMP:20260821T120902Z SUMMARY:Diffusions of Multiplicative Cascades DESCRIPTION:Speaker: Tom Alberts\, California Institute of Technology\n\nA multiplicative cascade is a randomization of any measure on the unit interval, constructed from an iid collection of random variables indexed by the dyadic intervals. Given an arbitrary initial measure I will describe a method for constructing a continuous time, measure valued process whose value … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2012-fall/ END:VEVENT END:VCALENDAR