August 2011 September 2011 October 2011 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 1 2 3 1 7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8 14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15 21 22 23 24 25 26 27 18 19 20 21 22 23 24 16 17 18 19 20 21 22 28 29 30 31 25 26 27 28 29 30 23 24 25 26 27 28 29 30 31 |

4:00 pm Wednesday, September 28, 2011 Geometry-Analysis Seminar: Slicing and Calibrationby Robert Hardt (Rice University) in HB 227- This talk was given at the Herbert Federer memorial conference and recalls his delightful 1965 paper "Some Theorems on Integral Currents". This paper has created linkages between analysis and Riemannian, complex, and algebraic geometry. His proof of the mass minimality of arbitrary complex subvarieties of Kahler manifolds greatly facilitated the birth of the now widely-studied subject of calibration theory, in which many different special closed, possibly singular, forms provide variational information on associated geometric objects. He also derived an analytic formula for slicing geometric currents by a smooth function and recognized that this could be useful for numerous intersection theory phenomena in algebraic topology and in differential and algebraic geometry. Moreover, recent work has shown how both slicing and calibration theory are powerful tools for basic regularity problems in geometric measure theory and complex and Lagrangian geometry. There remain many open questions.
Submitted by hardt@rice.edu |