This talk will be an attempt to introduce key concepts of using moving frames and exterior differential systems (EDS) to solve problems in differential geometry. Specific examples may include existence of conformal maps between surfaces and possibly a fun result on minimal surfaces in \mathbb{R}^3 depending on time. The talk will also omit many details for the sake of timely exposition.
Looking at Geometry through a Frame
CANCELED Sep. 20, 2016
Lie Theory
Sybille Schroll (University of Leicester) Special algebras Sponsored by the Meyer Fund
Sep. 20, 2016 3pm (Math 350)
Algebraic Geometry
Dan Edidin (University of Missouri)
X
Good quotients arise naturally in many contexts such as Geometric Invariant Theory. The good quotient of a smooth variety by an algebraic group is (etale) locally isomorphic to where is the tangent space at a point and is the stabilizer of the -action at . When all of the are finite then has finite quotient singularities and there is a well defined intersection product on the rational Chow groups of . However, when some of the are positive dimensional, the singularities of are worse. In this case very little is known about the intersection theory of . We explore an approach to intersection theory on good quotients which is based on strong cycles in equivariant Chow groups. (These will be defined in the talk).