BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Fall 2013 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20130926T160000-jonathan-rubin@math.utah.edu DTSTART;TZID=America/Denver:20130926T160000 DTEND;TZID=America/Denver:20130926T170000 DTSTAMP:20260909T174830Z SUMMARY:Irregular (neural) dynamics: how to get it and how to restore it DESCRIPTION:Speaker: Jonathan Rubin\, University of Pittsburgh\n\nBaseline healthy activity in many brain regions is believed to be irregular, with little correlation in firing times of different neurons. On the other hand, excessive regularity has been associated with disorders such as Parkinson's disease. Mathematically, neuronal irregularity has been … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131010T160000-martin-deraux@math.utah.edu DTSTART;TZID=America/Denver:20131010T160000 DTEND;TZID=America/Denver:20131010T170000 DTSTAMP:20260909T174830Z SUMMARY:Discrete groups and computation DESCRIPTION:Speaker: Martin Deraux\, Université de Grenoble I, Institut Fourier, currently visiting Brown University\n\nThe theory of discrete groups has connections to many areas of mathematics (geometry, differential equations, number theory, dynamical systems, topology, representation theory). After an introduction to the subject based on simple examples, I will discuss recent developments on finding discrete … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131107T160000-malgorzata-peszynska@math.utah.edu DTSTART;TZID=America/Denver:20131107T160000 DTEND;TZID=America/Denver:20131107T170000 DTSTAMP:20260909T174830Z SUMMARY:Hybrid Models and Interfaces DESCRIPTION:Speaker: Malgorzata Peszynska\, Oregon State University\n\nIn various applications, the mathematical models based on traditional partial differential equations (PDEs), with their empirically determined coefficients, and associated traditional numerical approximations, are not sufficient to describe all the relevant dynamics and complexity. In the talk, we … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131114T160000-dave-morris@math.utah.edu DTSTART;TZID=America/Denver:20131114T160000 DTEND;TZID=America/Denver:20131114T170000 DTSTAMP:20260909T174830Z SUMMARY:What is a superrigid subgroup? DESCRIPTION:Speaker: Dave Morris\, University of Lethbridge (Canada)\n\nIn combinatorial geometry (and engineering), it is important to know that certain scaffold-like geometric structures are rigid. (They will not collapse, and, in fact, have enough bracing that they cannot be deformed at all.) Replacing the geometric structure with an algebraic structure (namely, a … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131205T160000-wei-ho@math.utah.edu DTSTART;TZID=America/Denver:20131205T160000 DTEND;TZID=America/Denver:20131205T170000 DTSTAMP:20260909T174830Z SUMMARY:Arithmetic invariant theory and applications DESCRIPTION:Speaker: Wei Ho\, Columbia University\n\nThe origins of "arithmetic invariant theory" come from the work of Gauss, who used integer binary quadratic forms to study ideal class groups of quadratic fields. The underlying philosophy---parametrizing arithmetic and geometric objects by orbits of group representations---has now been used to … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131206T160000-bhargav-bhatt@math.utah.edu DTSTART;TZID=America/Denver:20131206T160000 DTEND;TZID=America/Denver:20131206T170000 DTSTAMP:20260909T174830Z SUMMARY:de Rham cohomology of algebraic varieties DESCRIPTION:Speaker: Bhargav Bhatt\, Institute for Advanced Study\n\nThe cohomology groups of a complex algebraic manifold enjoy an extremely rich structure, traditionally the subject of Hodge theory. A key piece of this structure stems from Grothendieck's purely algebraic description of the de Rham cohomology of smooth varieties. But what about singular varieties? I … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131212T160000-tonghai-yang@math.utah.edu DTSTART;TZID=America/Denver:20131212T160000 DTEND;TZID=America/Denver:20131212T170000 DTSTAMP:20260909T174830Z SUMMARY:Big numbers, small factors, and Shimura varieties. DESCRIPTION:Speaker: Tonghai Yang\, University of Wisconsin, Madison\n\nIt was observed 90 years ago that the famous modular j -function has the following cool property j ( 1 + - 1 6 3 2 ) = - e 1 6 3 π + 7 4 4 + t i n y = - 2 1 8 3 3 5 3 2 3 3 2 9 3 --> is a huge integer with very small prime factor, and so is j ((1+√-163)/2)-1728. In the early 80s, Gross and Zagier … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2013-fall/ END:VEVENT END:VCALENDAR