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last edited 1 year ago by vixie
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Essential Data

When and Where: (4/9/2007 - 6/4/2007)

  • LANL Monday, 1:45 - 2:45 MDT, rm T226 UCSD building

  • UCLA Monday, 12:45 - 1:45 PDT, rm 1180 IPAM building

Summer 2007: (6/25/2007 - 8/24/2007 )

  • There will be a GMT team and collection of research projects that will be a part of the 2007 CDDMA Summer School. See this link for summer school information and this link for more information on the GMT course that will be taught at LANL this summer. The last link will have more information and comments as the school progresses.

Content, briefly

  • This is an introduction to geometric measure theory that will initially be slanted towards the variational side of the subject (as opposed the the harmonic analysis side). It is intended for those who have not previously studied the subject, but of course, everyone is welcome. The level is the ubiquitous "Advanced undergraduate / beginning graduate" level. We will diverge off into special topics and papers after the first 9 weeks but will return to tools and techniques from time to time as needed or inspired.

  • The general viewpoint is Geometric Analysis with a view to data analysis and modeling. This is not an excuse to treat the details carelessly -- the theory is both very important and interesting from this viewpoint -- but it will result in discussion of applications and data challenges as a part of the lectures. In fact this course is planned to explore lots of pieces of geometric analysis, broadly defined. This includes geometric measure theory of course, but also includes things from PDE, differential topology, and harmonic analysis, to name three other areas.

  • Full Disclosure: I am only now becoming an expert in these matters. While this is probably to the advantage of the beginners, I am learning some of this as we go along. Questions will certainly arise that I have to consult the non-beginners on my team on (or hide away for a bit to answer by myself). Fortunately these experts can answer just about any question if I choose that route.

Related Lectures

  • The main lectures will of course be technical in nature, but with a heavy emphasis on intuition and the concepts: we will rarely go through the often intricate details of the proofs. Instead, I will have smaller discussions and "lectures" in which we look in detail at various results or at least spend more time partially bridging the gap between intuition and detailed proofs.

  • Guests lecturers will give talks on GMT and geometric analysis. These will be in addition to the regular lectures.

Course Website

Important Data