Reilly type formula and its application to Heintze-Karcher type inequality
Tuesday, 5.8.14, 16:15-17:15, Raum 404, Eckerstr. 1
In this talk, a Heintze-Karcher type inequality will be\nshowed for compact manifolds with boundary and sectional curvature bounded below by -1. Our proof was based on a new Reilly type formula and solvability of a Dirichlet boundary value problem. The case of hyperbolic spaces was previously proved by Simon Brendle via a totally different approach. This is joint work with Guohuan Qiu.\n
Reilly type formula and its application to Heintze-Karcher type inequality
Tuesday, 5.8.14, 16:15-17:15, Raum 404, Eckerstr. 1
In this talk, a Heintze-Karcher type inequality will be showed for compact manifolds with boundary and sectional curvature bounded below by -1. Our proof was based on a new Reilly type formula and solvability of a Dirichlet boundary value problem. The case of hyperbolic spaces was previously proved by Simon Brendle via a totally different approach. This is joint work with Guohuan Qiu.
Some Interesting Aspects of a Simple Model of "Non-commutative Quantum Mechanics"
Monday, 25.8.14, 16:15-17:15, Raum 404, Eckerstr. 1
Recently there has been much interest in studying a two-dimensional model of quantum mechanics, where the two components of position, and possibly also momentum, are made non-commutative. The understanding here is that such a model might mimic a non-standard structure of space at very short distances. In this talk we discuss some group theoretical aspects of such a model and some generalized complex Hermite polynomials associated with it. \n\n