This is the second announcement of the fall Bay Area Differential Geometry Seminar.

Full details can be found on the webpage:

http://count.ucsc.edu/~rmont/BADGS/BADGSOct2012.html


Bay Area Differential Geometry Seminar's (BADGS)

Fall 2012

U.C. Santa Cruz's Department of Mathematics


Date: Saturday, October 6, 2012.

Location: McHenry Building (library building), 4th floor, room: 4130.

map to McHenry ; map from Parking to McHenry

contact: David Hoffman, Richard Montgomery, Jie Qing, Michael Beeson.

Schedule:

  • 10 -11 coffee, tea, refreshments.
  • 11 -12 Rafe Mazzeo (Stanford)
  • 12:00-2:00 lunch break
  • 2:00 - 3:00 Joel Hass (U.C. Davis)
  • 3:00-3:30 coffee break
  • 3:30 -4:30 Pedro Solórzano (UC Riverside)
  • 4:35-4:45: business meeting: planning the next BADGS
  • 6:00 Banquet: at Omei ($37; $20 post-docs, $10 students). If you are interested in
    attending the dinner banquet, please register by clicking here to: sign-up for the banquet



    • Titles & Abstracts:


  • Rafe Mazzeo: Weil-Petersson spectral geometry
    I will discuss some recent results with Ji, Müller and Vasy concerning spectral geometry for the Weil-Petersson
  •  metric on the Riemann moduli space, as well as new work with Swoboda about the higher asymptotics of this
  • metric at the singular divisors, and prospects for the future in this area
  • Joel Hass: Characterizing the sphere using minimal surfaces
    It is possible to characterize spheres using patterns of minimal surfaces, stable and unstable. I'll explain these and
  •  how they can be turned into algorithms to recognize spheres when translated into the PL setting. In three dimensions
  •  this leads to Rubinstein's algorithm to recognize the 3-sphere.
  • Pedro Solórzano: Norms on holonomy, convergence of bundles
    I construct a natural group norm on the holonomy group (at a point) of a Riemannian manifold. This norm enjoys
  •  certain convexity properties. Ideas arising from the norm are used to better understand the Gromov-Hausdorff limits
  • of sequences of vector bundles over a convergent sequence of Riemannian manifolds.

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